Free Printable unit 8 1 sample review

1.

Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?

a)

a) Reject the null hypothesis

b)

b) Reject the alternative hypothesis

c)

c) Fail to reject the null hypothesis

d)

d) Fail to reject the alternative hypothesis

2.

When p-value is greater than alpha we:

a)

Reject Ho

b)

Fail to reject Ha

c)

Fail to reject Ho

d)

Reject Ha

3.

What is the only option for the null hypothesis?

a)

H₀ = k

b)

H₀ > k

c)

H₀ < k

d)

H₀ ≠ k

4.

Which of the following is not an option for an alternate hypothesis?

a)

H_a = k

b)

H_a > k

c)

H_a < k

d)

H_a ≠ k

5.

The weight of the average 6th grade student's backpack (with books in it) is 18.4 lbs. The principal of the school thinks that the backpack does not weight 18.4 lbs. What is the null and alternate hypothesis?

a)

H₀ = 18.4
H_a = 18.4

b)

H₀ = 18.4
H_a > 18.4

c)

H₀ = 18.4
H_a < 18.4

d)

H₀ = 18.4
H_a ≠ 18.4

6.

Which of the following is the FIRST step of a hypothesis test?

a)

Check assumptions & conditions

b)

Find your test statistic

c)

State your conclusion

d)

State your null & alternative hypotheses

7.

A car manufacturer advertises that its new subcompact models get 47 mpg. If μ is the mileage of these cars, what could be the null and alternate hypothesis if we wanted to check if the car's mpg is overrated?

a)

H₀ = 47
H_a = 47

b)

H₀ = 47
H_a < 47

c)

H₀ = 47
H_a > 47

d)

H₀ = 47
H_a ≠ 47

8.

In a hypothesis test, the alternative hypothesis is always a statement of equality.

a)

True

b)

False

9.

The null and alternative hypothesis can be the same.

a)

Yes

b)

No

c)

Maybe

d)

All the above

10.

Identify the correct null hypothesis:

Is the proportion of babies born male different from 50%? In a sample of 200 babies, 96 were male. Test the claim using a level of significance of 1%.

a)

H₀: p = 0.50

b)

H₀: µ = 100

c)

H₀: p = 0.48

d)

H₀: µ = 96

11.

In testing hypotheses, which of the following would be strong evidence against the null hypothesis?

a)

using a small level of significance

b)

using a large level of significance

c)

obtaining data with a small p-value

d)

obtaining data with a low test statistic

12.

A P-value indicates:

a)

the probability that the null hypothesis is true

b)

the probability that the alternative hypothesis is true

c)

the probability of obtaining the results (or one more extreme) if the null hypothesis is true

d)

probability of a Type I error

13.

H₀: μ = k

H₁: μ ≠ k

a)

Left-tailed test

b)

Two-tailed test

c)

Right-tailed test

14.

H₀: μ = k

H₁: μ > k

a)

Left-tailed test

b)

Right-tailed test

15.

In a random sample of 1000 adult Americans, only 430 could name at least one justice who is currently serving on the US Supreme Court. A claim is that fewer than half of adult Americans can name at least one justice who is currently serving on the US Supreme Court. State the null hypothesis.

a)

H_o: p <.5, where p is the true proportion of Americans who can name one justice currently serving.

b)

H_o:p >.5 where p is the true proportion of Americans who can name one justice currently serving.

c)

H_o:p =.5 where p is the true proportion of Americans who can name one justice currently serving.

16.

In a random sample of 1000 adult Americans, only 430 could name at least one justice who is currently serving on the US Supreme Court. A claim is that fewer than half of adult Americans can name at least one justice who is currently serving on the US Supreme Court. State the alternative hypothesis.

a)

H_a: p=.5, where p is the true proportion of Americans who can name one justice currently serving.

b)

H_a: p>.5, where p is the true proportion of Americans who can name one justice currently serving.

c)

H_a: p<.5, where p is the true proportion of Americans who can name one justice currently serving.

17.

In a national survey of 2013 adults, 1283 indicated that they believe rudeness is a more serious problem than in years past. Does this indicate that more than 3/4 of American adults believe rudeness is a worsening problem? State the alternative hypothesis.

a)

H_a: p > .75, where p is the true proportion of Americans who believe rudeness is worsening.

b)

H_a: p = .75, where p is the true proportion of Americans who believe rudeness is worsening.

c)

H_a: p <.75, where p is the true proportion of Americans who believe rudeness is worsening.

18.

In a national survey of 2013 adults, 1283 indicated that they believe rudeness is a more serious problem than in years past. Does this indicate that more than 3/4 of American adults believe rudeness is a worsening problem? State the null hypothesis.

a)

H_o: p > .75, where p is the true proportion of Americans who believe rudeness is worsening.

b)

H_o: p = .75, where p is the true proportion of Americans who believe rudeness is worsening.

c)

H_o: p < .75, where p is the true proportion of Americans who believe rudeness is worsening.

19.

The Associated Press found that 730 of 1000 randomly selected adults preferred to watch movies at home rather than at a movie theater. Is there convincing evidence that the majority of adult Americans prefer watching movies at home? State the alternative hypothesis.

a)

H_a: p = .50, where p is the true proportion of adult Americans who prefer watching movies at home.

b)

H_a: p < .50, where p is the true proportion of adult Americans who prefer watching movies at home.

c)

H_a: p > .50, where p is the true proportion of adult Americans who prefer watching movies at home.

20.

In a survey of 526 US businesses, 400 indicated that they monitor employee's web site visits. Is there sufficient evidence that more than 70% of US businesses monitor employees' web site visits? State the null hypothesis.

a)

H_o: p = .70, where p is the true proportion of US businesses that indicated they monitor employee web sites.

b)

H_o: p < .70, where p is the true proportion of US businesses that indicated they monitor employee web sites.

c)

H_o: p > .70, where p is the true proportion of US businesses that indicated they monitor employee web sites.

21.

In a random sample of 1000 adult Americans, 700 indicated that they oppose the reinstatement of a military draft. Is there convincing evidence that the proportion of American adults who oppose the reinstatement of the draft is different from two-thirds? State the null hypothesis.

a)

H_o: p < 2/3, where p is the true proportion of American adults who oppose the reinstatement of the draft.

b)

H_o: p > 2/3, where p is the true proportion of American adults who oppose the reinstatement of the draft.

c)

H_o: p = 2/3, where p is the true proportion of American adults who oppose the reinstatement of the draft.

22.

Which of the following shows a right-tailed test?

a)

Ha: µ < 15

b)

H₀: µ < 15

c)

Ha: µ > 15

d)

H₀: µ > 15

23.

In testing hypotheses, which of the following would be strong evidence against the null hypothesis?

a)

using a small level of significance

b)

using a large level of significance

c)

obtaining data with a small p-value

d)

obtaining data with a low test statistic

24.

A P-value indicates:

a)

the probability that the null hypothesis is true

b)

the probability that the alternative hypothesis is true

c)

the probability of obtaining the results (or one more extreme) if the null hypothesis is true

d)

probability of a Type I error

25.

Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?

a)

a) Reject the null hypothesis

b)

b) Reject the alternative hypothesis

c)

c) Fail to reject the null hypothesis

d)

d) Fail to reject the alternative hypothesis

26.

When p-value is greater than alpha we:

a)

Reject Ho

b)

Fail to reject Ha

c)

Fail to reject Ho

d)

Reject Ha

27.

Define a Type I error?

a)

The failure to reject a false null hypothesis

b)

Rejecting a true null hypothesis

c)

The acceptance to reject a null hypothesis

d)

Accepting a true null hypothesis

28.

When do you use a t-value instead of a z-value?

a)

When n < 30

b)

When n ≥ 30

c)

When all of the planets align

d)

When Ms. O said to

29.

The null and alternative hypothesis can be the same.

a)

Yes

b)

No

c)

Maybe

d)

All the above

30.

H₀: μ = k

H₁: μ ≠ k

a)

Left-tailed test

b)

Two-tailed test

c)

Right-tailed test

31.

H₀: μ = k

H₁: μ > k

a)

Left-tailed test

b)

Right-tailed test

32.

A __________ occurs if you accept the null hypothesis when it is false.

a)

Type I error

b)

Type II error

33.

A __________ occurs if you reject the null hypothesis when it is true.

a)

Type I error

b)

Type II error

34.

What is the 5 steps procedure for hypothesis testing?

a)

1) State the hypotheses and identify the claim

2) Find the critical value

3) Compute the test value

4) Summarize the results

5) Make the decision (reject or not reject)

b)

1) State the hypotheses and identify the claim

2) Compute the test value

3) Find the critical value

4) Make the decision (reject or not reject)

5) Summarize the results

c)

1) State the hypotheses and identify the claim

2) Find the critical value

3) Compute the test value

4) Make the decision (reject or not reject)

5) Summarize the results

35.

A level of significance of 5% means:

a)

There's a 5% chance we're wrong

b)

There's a 5% chance we'll be wrong if we fail to reject the null hypothesis

c)

There's a 5% chance we'll be wrong if we reject the null hypothesis.

d)

There's a 5% chance you'll get an A on the test.

36.

A manufacturer claims that his tires last at least 40,000

miles. A test on 25 tires reveals that the mean life of a tire

is 39,750 miles, with a standard deviation of 387 miles.

Test the Manufacturer’s claim at α = .01.

a)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha

37.

In performing a hypothesis test where the null

hypothesis is that the μ = 6.9. A random sample of 16

items is selected. The sample mean is 7.1 and the sample

standard deviation is 2.4. It can be assumed that the

population is normally distributed at α = .05.

a)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha

38.

A fast food outlet claims that the mean waiting time in

line is less than 1.9 minutes. A random sample of 20

customers has a mean of 1.7 minutes with a standard

deviation of 0.8 minute. If α = 0.05, test the fast food

outlet's claim using P-values.

a)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha

39.

A fast food outlet claims that the mean waiting time in

line is less than 3.5 minutes. A random sample of 20

customers has a mean of 3.7 minutes with a standard

deviation of 0.8 minute. If α = 0.05, test the fast food

outlet's claim.

a)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha

40.

It is said that 60% of families own a pet. Of a sample of 95 families, 70 owned pets. Perform a hypothesis test to determine whether the percent of families who own pets is different than 60%. Use a $\alpha=0.01$ level of significance.

a)

$H_0:\ \ P=60$
$H_1:\ \ P\ne60$

b)

$H_0:\ \ P=0.60$
$H_1:\ \ P\ne0.60$

c)

$H_0:\ \ \mu=60$
$H_1:\ \ \mu\ne60$

d)

$H_0:\ \ \mu\ge60$
$H_1:\ \ \mu\le60$

41.

It is said that 60% of families own a pet. Of a sample of 95 families, 70 owned pets. Perform a hypothesis test to determine whether the percent of families who own pets is different than 60%. Use a $\alpha=0.01$ level of significance.

What type of test would you need to run for this?

a)

Z Test

b)

T Test

c)

1-Prop Z Test

d)

X² Test

42.

It is said that 60% of families own a pet. Of a sample of 95 families, 70 owned pets. Perform a hypothesis test to determine whether the percent of families who own pets is different than 60%. Use a $\alpha=0.01$ level of significance.

What is the p-value? Round to 4 decimal places.

(a)

43.

It is said that 60% of families own a pet. Of a sample of 95 families, 70 owned pets. Perform a hypothesis test to determine whether the percent of families who own pets is different than 60%. Use a $\alpha=0.01$ level of significance.

a)

Reject the Null

b)

Fail to Reject the Null

c)

Accept the Null

44.

It is said that 60% of families own a pet. Of a sample of 95 families, 70 owned pets. Perform a hypothesis test to determine whether the percent of families who own pets is different than 60%. Use a $\alpha=0.01$ level of significance.

What is the conclusion statement?

a)

There is enough evidence to reject the claim that the percent of families who own pets is different than 60%

b)

There is not enough evidence to support the claim that the percent of families who own pets is 60%

c)

There is enough evidence to support the claim that the percent of families who own pets is different than 60%

d)

There is not enough evidence to support the claim that the percent of families who own pets is different than 60%

45.

A recruiter for the Super Teachers School Board advertised that the average teacher's salary in a certain competing district is less than what his district offers, $50,000. A random sample of 50 teachers from the competing district had a mean annual salary of $48,300. The population standard deviation is known to be $8,000. Use a 0.01 level of significance to test the recruiter's claim.

Choose the correct Null and Alternate Hypothesis Statements.

a)

$H_0:\ \ \mu=48,300$ $H_1:\ \ \mu>48,300$

b)

$H_0:\ \ \mu=50,000$ $H_1:\ \ \mu>50,000$

c)

$H_0:\ \ \mu=48,300$ $H_1:\ \ \mu<48,300$

d)

$H_0:\ \ \mu=50,000$ $H_1:\ \ \mu<50,000$

46.

A recruiter for the Super Teachers School Board advertised that the average teacher's salary in a certain competing district is less than what his district offers, $50,000. A random sample of 50 teachers from the competing district had a mean annual salary of $48,300. The population standard deviation is known to be $8,000. Use a 0.01 level of significance to test the recruiter's claim.

What type of test should you run?

a)

Z test

b)

T test

c)

1-Prop Z test

d)

X² test

47.

A recruiter for the Super Teachers School Board advertised that the average teacher's salary in a certain competing district is less than what his district offers, $50,000. A random sample of 50 teachers from the competing district had a mean annual salary of $48,300. The population standard deviation is known to be $8,000. Use a 0.01 level of significance to test the recruiter's claim.

What is the p-value? Round to 4 decimal places!!

(a)

48.

A recruiter for the Super Teachers School Board advertised that the average teacher's salary in a certain competing district is less than what his district offers, $50,000. A random sample of 50 teachers from the competing district had a mean annual salary of $48,300. The population standard deviation is known to be $8,000. Use a 0.01 level of significance to test the recruiter's claim.

What is your decision?

a)

Reject the Null

b)

Fail to Reject the Null

c)

Accept the Null

49.

A recruiter for the Super Teachers School Board advertised that the average teacher's salary in a certain competing district is less than what his district offers, $50,000. A random sample of 50 teachers from the competing district had a mean annual salary of $48,300. The population standard deviation is known to be $8,000. Use a 0.01 level of significance to test the recruiter's claim.

Choose the correct conclusion.

a)

There is enough evidence to support the claim that the average teacher's salary in the competing district is less than $50,000.

b)

There is not enough evidence to support the claim that the average teacher's salary in the competing district is less than $50,000.

c)

There is enough evidence to support the claim that the average teacher's salary in the competing district is more than $50,000.

d)

There is not enough evidence to support the claim that the average teacher's salary in the competing district is more than $50,000.

50.

Environmental advocates believe that there is too much Mercury in a town's lake. To test their claim, they took 7 samples of water from the lake and measured the concentration of mercury, in milligrams per cubic meter, in each sample. Assume the population distribution is normal. The sample results were:

1.02, 1.23, 0.91, 1.29, 1.01, 1.35, 1.43

Perform a hypothesis test to determine if the mean concentration of mercury is greater than 1 milligram per cubic meter. Use a 0.05 level of significance.

Choose the correct null and alternate hypothesis statements.

a)

$H_0:\ \ \mu=1\ \ \ \ \ \ H_1:\ \ \mu>1$

b)

$H_0:\ \ \mu<1\ \ \ \ \ \ H_1:\ \ \mu>1$

c)

$H_0:\ \ \mu\ne1\ \ \ \ \ \ H_1:\ \ \mu<1$

d)

$H_0:\ \ \mu>1\ \ \ \ \ \ H_1:\ \ \mu<1$

51.

Environmental advocates believe that there is too much Mercury in a town's lake. To test their claim, they took 7 samples of water from the lake and measured the concentration of mercury, in milligrams per cubic meter, in each sample. Assume the population distribution is normal. The sample results were:

1.02, 1.23, 0.91, 1.29, 1.01, 1.35, 1.43

Perform a hypothesis test to determine if the mean concentration of mercury is greater than 1 milligram per cubic meter. Use a 0.05 level of significance.

What type of test should you run?

a)

Z test

b)

T test

c)

1-Prop Z test

d)

X²test

52.

Environmental advocates believe that there is too much Mercury in a town's lake. To test their claim, they took 7 samples of water from the lake and measured the concentration of mercury, in milligrams per cubic meter, in each sample. Assume the population distribution is normal. The sample results were:

1.02, 1.23, 0.91, 1.29, 1.01, 1.35, 1.43

Perform a hypothesis test to determine if the mean concentration of mercury is greater than 1 milligram per cubic meter. Use a 0.05 level of significance.

What is the p-value. Round to 4 decimal places.

(a)

53.

Environmental advocates believe that there is too much Mercury in a town's lake. To test their claim, they took 7 samples of water from the lake and measured the concentration of mercury, in milligrams per cubic meter, in each sample. Assume the population distribution is normal. The sample results were:

1.02, 1.23, 0.91, 1.29, 1.01, 1.35, 1.43

Perform a hypothesis test to determine if the mean concentration of mercury is greater than 1 milligram per cubic meter. Use a 0.05 level of significance.

What is your decision?

a)

Reject the Null

b)

Fail to Reject the Null

c)

Accept the Null

54.

Environmental advocates believe that there is too much Mercury in a town's lake. To test their claim, they took 7 samples of water from the lake and measured the concentration of mercury, in milligrams per cubic meter, in each sample. Assume the population distribution is normal. The sample results were:

1.02, 1.23, 0.91, 1.29, 1.01, 1.35, 1.43

Perform a hypothesis test to determine if the mean concentration of mercury is greater than 1 milligram per cubic meter. Use a 0.05 level of significance.

Choose the correct conclusion statement

a)

There is not enough evidence to conclude that the mean concentration of mercury in the town lake is greater than 1 milligram.

b)

There is not enough evidence to conclude that the mean concentration of mercury in the town lake is less than 1 milligram.

c)

There is enough evidence to conclude that the mean concentration of mercury in the town lake is less than 1 milligram.

d)

There is enough evidence to conclude that the mean concentration of mercury in the town lake is greater than 1 milligram.

55.

Find the P-value and make a decision based on the given z-score and level of significance. Right tailed, z=1.98, $\alpha$ =0.05.

a)

P=0.239; Reject $H_o$

b)

P=0.239; Fail to reject $H_o$

c)

P=0.123; Reject $H_o$

d)

P=0.123; Fail to reject $H_o$

56.

Find the critical value given the sample size and level of significance. Two-tailed, n=14, $\alpha$ =0.01

a)

t*=-2.345 and t*=2.345

b)

t*=-3.012 and t*=3.012

c)

t*=3.012

d)

t*=-1.645 and t*=1.645

57.

A citrus grower's association believes that the mean consumption of fresh citrus fruits by families in the U.S. is at least 98 pounds per year. A random sample of 13 families in the US has a mean consumption of 89.5 pounds per year with a standard deviation of 11 pounds. Test the validity of this claim at α=0.01. Calculate t to the hundredths place. t= (a)

58.

A citrus grower's association believes that the mean consumption of fresh citrus fruits by families in the U.S. is at least 98 pounds per year. A random sample of 13 families in the US has a mean consumption of 89.5 pounds per year with a standard deviation of 11 pounds. Test the validity of this claim at α =0.01. (Use your t from the last question.) What is the correct decision and conclusion?

a)

Reject $H_o$ . There is sufficient evidence to indicate that the average consumption of fresh citrus fruit by families in the US is at least 98 per year.

b)

Reject $H_o$ . There is not sufficient evidence to indicate that the average consumption of fresh citrus fruit by families in the US is at least 98 per year.

c)

Fail to reject $H_o$ . There is sufficient evidence to indicate that the average consumption of fresh citrus fruit by families in the US is at least 98 per year.

d)

Fail to reject $H_o$ . There is not sufficient evidence to indicate that the average consumption of fresh citrus fruit by families in the US is at least 98 per year.

59.

Is this a z-test or t-test?

An auto maker estimates that the mean gas mileage of its luxury sedan is at least 25 miles per gallon. A random sample of eight such cars had a mean of 23 miles per gallon. The United Autoworkers have studied all cars of this type and found that the population standard deviation is 5 miles per gallon. Test the validity of this claim at $\alpha$ =0.05.

a)

z-test

b)

t-test

60.

Calculate the P value.

An auto maker estimates that the mean gas mileage of its luxury sedan is at least 25 miles per gallon. A random sample of eight such cars had a mean of 23 miles per gallon. The United Autoworkers have studied all cars of this type and found that the population standard deviation is 5 miles per gallon. Test the validity of this claim at α =0.05.

a)

P=.1786

b)

P=.897

c)

P=.5698

d)

P=.1292

61.

Make a decision if P=.1292.

An auto maker estimates that the mean gas mileage of its luxury sedan is at least 25 miles per gallon. A random sample of eight such cars had a mean of 23 miles per gallon. The United Autoworkers have studied all cars of this type and found that the population standard deviation is 5 miles per gallon. Test the validity of this claim at α =0.05.

a)

Fail to reject $H_o$

b)

Reject $H_o$

62.

Write a conclusion.

An auto maker estimates that the mean gas mileage of its luxury sedan is at least 25 miles per gallon. A random sample of eight such cars had a mean of 23 miles per gallon. The United Autoworkers have studied all cars of this type and found that the population standard deviation is 5 miles per gallon. Test the validity of this claim at α =0.05.

a)

Since P=.1292 is greater than α =0.05, we must reject $H_o$ . There is sufficient evidence to indicate that the average gas mileage for this luxury sedan is at least 25 mpg.

b)

Since P=.1292 is greater than α =0.05, we must reject $H_o$ . There is not sufficient evidence to indicate that the average gas mileage for this luxury sedan is at least 25 mpg.

c)

Since P=.1292 is greater than α =0.05, we must fail to reject $H_o$ . There is sufficient evidence to indicate that the average gas mileage for this luxury sedan is at least 25 mpg.

d)

Since P=.1292 is greater than α =0.05, we must fail to reject $H_o$ . There is not sufficient evidence to indicate that the average gas mileage for this luxury sedan is at least 25 mpg.

63.

What is the difference between the way the t-test and the z-test work in this chapter?

a)

The difference is in the way you make a decision.

b)

The difference is in the way you write the null and alternate hypothesis.

c)

The difference is in the way you find the sample mean.

64.

Contrast how you make a decision in the z-test versus making a decision in the t-test.

4 lines

65.

What is a one-sample t-test used for?

a)

Comparing means from a sample and a population

b)

Comparing means from two separate samples

c)

Comparing means from two related samples

d)

Comparing means from more than two samples

66.

Claim: The average weight of males is greater than 53 kg. Ten male students were selected to test this claim.We also set our $\alpha=0.01,\ \overline{x}=51,\ s=4.74,\ n=10,\ df=10-1=9$

Step 1: What is the null hypothesis?

a)

Ho: $\mu=53$

b)

Ho: $\mu>53$

c)

Ho: $\mu\ne53$

d)

Ho: $\mu\le53$

67.

Claim: The average weight of males is greater than 53 kg. Ten male students were selected to test this claim.We also set our $\alpha=0.01,\ \overline{x}=51,\ s=4.74,\ n=10,\ df=10-1=9$

Step 1: What is the alternative hypothesis?

a)

Ha: $\mu=53$

b)

Ha: $\mu>53$

c)

Ha: $\mu\ne53$

d)

Ha: $\mu\le53$

68.

Claim: The average weight of males is greater than 53 kg. Ten male students were selected to test this claim.We also set our ⍺ = 0.01. $\alpha=0.01,\ \overline{x}=51,\ s=4.74,\ n=10,\ df=10-1=9$

Using the formula, compute for the test value.

Step 3: What is the test value or computed value?

a)

$t=-1.33$

b)

$t=1.33$

c)

$t=-1.27$

d)

$t=1.27$

69.

Claim: The average weight of males is greater than 53 kg. Ten male students were selected to test this claim.We also set our ⍺ = 0.01. $\alpha=0.01,\ \overline{x}=51,\ s=4.74,\ n=10,\ df=10-1=9$

Step 5: Draw conclusion

a)

There is no significant difference between the sample and population mean. Thus the claim that the average weight of males is greater than 53 kg is incorrect.

b)

There is no significant difference between the sample and population mean. Thus the claim that the average weight of males is greater than 53 kg is correct.

c)

There is a significant difference between the sample and population mean. Thus the claim that the average weight of males is greater than 53 kg is incorrect.

d)

There is a significant difference between the sample and population mean. Thus the claim that the average weight of males is greater than 53 kg is correct.

70.

When testing with $\alpha=0.01$ you get $p=0.12$ . Your decision should be

a)

Reject $H_0$ , there is a significant difference

b)

Acceptundefined, there is NOT a significant difference

c)

Rejectundefined, there is NOT a significant difference

d)

Acceptundefined, there is a significant difference

71.

A manufacturer claims that his tires last at least 40,000

miles. A test on 25 tires reveals that the mean life of a tire

is 39,750 miles, with a standard deviation of 387 miles.

Test the Manufacturer’s claim at α = .01.

a)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha

72.

A one sample t-test is conducted on Ho : μ = 81.6. The

sample has a sample mean = 84.1 , s = 3.1, n = 25, and α =

.01.

a)

There is enough evidence to reject the claim

b)

There is not enough evidence to reject the claim

c)

There is enough evidence to support the claim

d)

There is not enough evidence to support the claim

73.

This symbol denotes the null hypothesis

a)

Null hypothesis

b)

Alternative Hypothesis

c)

H₀

d)

H_a

74.

This symbol denotes the alternative hypothesis

a)

$H_1$

b)

Both $H_a$ and $H_1$

c)

$H_0$

d)

$H_a$

75.

Which of the following is NOT an option for an alternate hypothesis?

a)

H_a = k

b)

H_a > k

c)

H_a < k

d)

H_a ≠ k

76.

Find the null and alternative hypothesis.

The standard deviation of the sale price of a bike is no

more than $225.

a)

$H_0:\ \sigma=225$

$H_1:\ \sigma<225$

b)

$H_0:\ \sigma\ne225$ $H_1:\ \sigma<225$

c)

$H_0:\ \sigma\ne225$ $H_1:\ \sigma>225$

d)

$H_0:\ \sigma=225$ $H_1:\ \sigma>225$

77.

Find the null and alternative hypothesis.

A microwave manufacturer claims that the mean life of the thermostat for a certain model of microwave is more than 4 years.

a)

$H_0:\ \mu=4$

$H_1:\ \mu>4$

b)

$H_0:\ \mu=4$ $H_1:\ \mu<4$

c)

$H_0:\ \mu\ne4$ $H_1:\ \mu>4$

d)

$H_0:\ \mu\ne4$ $H_1:\ \mu<4$

78.

Which of the following symbols can be in the ALTERNATIVE hypothesis? (Check all that apply)

a)

=

b)

>

c)

$\ne$

d)

$\ge$

e)

<

79.

Identify whether the following is a null hypothesis or an alternative hypothesis.

The average age of grade eleven students is 17 years old.

a)

Null Hypothesis

b)

Alternative Hypothesis

80.

Identify whether the following is a null hypothesis or an alternative hypothesis.

The mean weight of newborn babies is 0.5 kg.

a)

Null Hypothesis

b)

Alternative Hypothesis

81.

Double-tailed test, z = -1.50, n=45

a)

.1336

b)

1.8664

c)

1.8592

d)

.1408

82.

Left-tailed test, z = -1.50, n=45

a)

.9332

b)

.0667

c)

.0704

d)

.9296

83.

Double-tailed test, z = -0.85 , n=50

a)

.3995

b)

1.6047

c)

1.6005

d)

.3953

unit 8 1 sample review

Total questions: 83

Worksheet time: 7hrs 1mins

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