Free Printable STATISTICS

1.

What is the only option for the null hypothesis?

a)

H₀ = k

b)

H₀ > k

c)

H₀ < k

d)

H₀ ≠ k

2.

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 the teacher says so

3.

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

4.

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

a)

True

b)

False

5.

The null and alternative hypothesis can be the same.

a)

Yes

b)

No

c)

Maybe

d)

All the above

6.

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

7.

H₀: μ = k

H₁: μ ≠ k

a)

Left-tailed test

b)

Two-tailed test

c)

Right-tailed test

8.

H₀: μ = k

H₁: μ > k

a)

Left-tailed test

b)

Right-tailed test

9.

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

10.

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

11.

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

12.

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

13.

What is the critical value (in a test about proportions) for a left-tailed test with α = 0.05 and n ≥ 30.

a)

z₀ = -1.645

b)

z₀ = -2.33

c)

z₀ = -1.96

d)

z₀ = 2.58

14.

It is a random variable that is calculated from sample data and used in a hypothesis test.

a)

Sample

b)

t-test

c)

test statistic

d)

z-test

15.

Identify the type of Skewness

a)

positive

b)

negative

c)

normal

d)

right skewed

16.

Identify the type of Skewness

a)

positive

b)

negative

c)

normal

d)

left skewed

17.

Identify the type of kurtosis

a)

mesokurtic

b)

platykurtic

c)

leptokurtic

d)

negative

18.

Identify the type of kurtosis

a)

mesokurtic

b)

platykurtic

c)

leptokurtic

d)

positive

19.

Identify the type of kurtosis

a)

mesokurtic

b)

platykurtic

c)

leptokurtic

d)

bell shape

20.

If the variance is known, what test statistic is appropriate?

a)

t-test

b)

z-test

c)

two-tailed test

d)

one-tailed

21.

One-sample t-statistic is used instead of one-sample z-statistic when ___________________.

a)

μ is known

b)

σ is known

c)

μ is unknown.

d)

σ is unknown.

22.

Which of the following is NOT a consideration in using z-test/statistic?

a)

Variance is known.

b)

Sample standard deviation is known.

c)

The population mean is less than 30.

d)

Population standard deviation is known.

23.

If in a sample n=16 selected from a normal population, 𝑥̅ = 56 and 𝑠 = 12, what statistical test is applicable to be used?

a)

f-test

b)

t-test

c)

z-test

d)

Central Limit Theorem

24.

What is the sample standard deviation if a simple random sample of 220 students is drawn from a population of 2,740 college students? Among the sampled students, the average IQ score is 115 with standard deviation of 10.

a)

10

b)

115

c)

220

d)

2,740

25.

If you wish to test the claim that the mean of the population is 100, the appropriate alternate hypothesis is

a)

$\overline{x}=100$

b)

$\mu=100$

c)

$\mu\ne100$

d)

$\mu>100$

26.

What is the only option for the null hypothesis?

a)

H₀ = k

b)

H₀ > k

c)

H₀ < k

d)

H₀ ≠ k

27.

This refers to the maximum number of logically independent values which varies in the data sample.

a)

Level of significance

b)

Percentiles

c)

Degree of freedom

d)

Probability

28.

What is the right-tailed area if the confidence interval is 75%?

a)

0.05

b)

0.10

c)

0.005

d)

0.25

29.

What will be the degree of freedom of the data whose sample size is 18?

a)

17

b)

18

c)

19

d)

20

30.

Identify the t-value whose number of samples n = 2 and has an area (𝛼) equal to 0.40

a)

0.289

b)

0.325

c)

0.277

d)

0.816

31.

Identify the t-value whose number of samples n = 11 and has an area (𝛼) equal to 0.25

a)

0.700

b)

0.697

c)

1.372

d)

0.260

32.

What is the degree of freedom if the sample size is 20?

a)

21

b)

19

c)

20

d)

18

33.

What is the right-tailed area if the confidence interval is 60%?

a)

0.040

b)

0.40

c)

0.004

d)

0.0004

34.

Find the Z-score.

Mean = 22

Standard Deviation: 3.1

x = 29

a)

2.26

b)

16.45

c)

-2.26

d)

1.26

35.

What is the required sample size in using the Z-test?

a)

less than 30

b)

more than 30

c)

less than 50

d)

more than 50

36.

Which of the following should you apply if you want to test whether your sample product of whitening will be more effective than a standard product?

a)

Left-Tailed Test

b)

Right-Tailed Test

c)

Two-tailed Test

d)

Not Applicable

37.

Should you reject the Ho if the z-critical value is +1.645 and your z-computed value is -1.65?

a)

Yes

b)

No

c)

Maybe

d)

Rerun the test

38.

What does ANOVA stands for?

a)

Analysis of value

b)

Analysis of variance

c)

Assessment of variability

d)

Assessment of vulnerability

39.

To determine whether the test statistic of ANOVA is statistically significant, it can be compared to a critical value. What two pieces of information are needed to determine the critical value?

a)

Sample size, number of groups.

b)

Mean, sample standard deviation.

c)

Expected frequency, obtained frequency.

d)

MSTR, MSE

40.

The sample size is greater than or equal to 30.

a)

t-test

b)

z-test

41.

The sample size is below 30.

a)

t-test

b)

z-test

42.

One water quality standard for water that is discharged into a particular type of stream or pond is that the average daily water temperature be at most 18⁰ F . A sample of 10 gave a mean temperature of 18.7˚F.

a)

t-test

b)

z-test

43.

Which significance level
(column) do you look at when finding the critical value?

a)

.50

b)

.10

c)

.05

d)

.01

44.

Observed in the wild are 10 circles, 20 squares and 30 triangles. The ratio for this particular population is 2:3:5
observed: 10 circles expected:
observed 20 squares expected : 18
observed 30 triangles expected: 30
What is the expected number for circles?

a)

6

b)

12

c)

18

d)

24

45.

Observed in the wild are 10 circles, 20 squares and 30 triangles. The ratio for this particular population is 2:3:5
observed: 10 circles expected: 12
observed 20 squares expected : 18
observed 30 triangles expected: 30
What is the degrees of freedom?

a)

1

b)

2

c)

3

d)

4

46.

Observed in the wild are 10 circles, 20 squares and 30 triangles. The ratio for this particular population is 2:3:5
observed: 10 circles expected: 12
observed 20 squares expected : 18
observed 30 triangles expected: 30
What is the critical value?

a)

3.841

b)

5.991

c)

7.815

d)

9.488

47.

Observed in the wild are 10 circles, 20 squares and 30 triangles. The ratio for this particular population is 2:3:5
observed: 10 circles expected: 12
observed 20 squares expected : 18
observed 30 triangles expected: 30
What is the X² of this problem?

a)

.22

b)

.33

c)

.44

d)

.55

48.

Observed in the wild are 10 circles, 20 squares and 30 triangles. The ratio for this particular population is 2:3:5
observed: 10 circles expected: 12
observed 20 squares expected : 18
observed 30 triangles expected: 30
Would you accept or reject?

a)

accept

b)

reject

49.

Find the degrees of freedom.

a)

4

b)

5

c)

6

d)

7

50.

What are the expected counts of a female who likes Pepsi?

a)

10.5

b)

11

c)

14.5

d)

6.3

STATISTICS - FINAL EXAM

Total questions: 50

Worksheet time: 1hrs 1mins

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