Free Printable T test practice

1.

Which is true?

a)

P-Value < 0.05 - there's statistical difference

b)

P-Value < 0.05 - there's no statistical difference

c)

P-Value > 0.05 - there's statistical difference

d)

None of the above

2.

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

3.

In a New York modeling agency, a researcher wishes to see if the average height of female models is really less than 67 inches, as the chief claims. A random sample of 20 models has an average height of 65.8 inches. The standard deviation of the sample is 1.7 inches. At $\alpha=0.05$ , is the average height of the models really less than 67 inches? List test, p-value, and decision.

a)

z-test, $p=0.002$ , Accept $H_0$

b)

z-test, $p=7.98E^{-4}$ , Rejectundefined

c)

t-test, $p=0.003$ , Rejectundefined

d)

t-test, $p=0.005$ , Rejectundefined

4.

The weight of the average 6th grade boy is 89 lbs. The principal of the school feeds them steak for first semester to see if their weight changes. What are the null and alternate hypotheses?

a)

H₀: μ = 89

H₁: μ = 89

b)

H₀: μ = 89

H₁: μ > 89

c)

H₀: μ = 89

H₁: μ < 89

d)

H₀: μ = 89

H₁: μ ≠ 89

5.

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

a)

21

b)

19

c)

20

d)

18

6.

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: $\mu\le53$

7.

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: $\mu\le53$

8.

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)

$t=1.27$

9.

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.

10.

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

11.

When testing with $\alpha=0.05$ you get $p=3.2\ E^{-6}$ . 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

12.

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

13.

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)

Reject Ho

b)

Reject Ha

c)

Fail to reject Ho

d)

Fail to reject Ha

14.

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

15.

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

16.

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

17.

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

T test practice

Total questions: 17

Worksheet time: 3hrs 50mins

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