Hypothesis Testing for Small Samples and Proportions

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.

• Reject Ho

• Reject Ha

• Fail to reject Ho

• Fail to reject Ha

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.

• There is enough evidence to reject the claim

• There is not enough evidence to reject the claim

• There is enough evidence to support the claim

• There is not enough evidence to support the claim

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.

• Reject Ho

• Reject Ha

• Fail to reject Ho

• Fail to reject Ha

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.

• There is enough evidence to reject the claim

• There is not enough evidence to reject the claim

• There is enough evidence to support the claim

• There is not enough evidence to support the claim

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.

• Reject Ho

• Reject Ha

• Fail to reject Ho

• Fail to reject Ha

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.

• There is enough evidence to reject the claim

• There is not enough evidence to reject the claim

• There is enough evidence to support the claim

• There is not enough evidence to support the claim

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.

• Reject Ho

• Reject Ha

• Fail to reject Ho

• Fail to reject Ha

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.

• There is enough evidence to reject the claim

• There is not enough evidence to reject the claim

• There is enough evidence to support the claim

• There is not enough evidence to support the claim

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.

• Reject Ho

• Reject Ha

• Fail to reject Ho

• Fail to reject Ha

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.

• There is enough evidence to reject the claim

• There is not enough evidence to reject the claim

• There is enough evidence to support the claim

• There is not enough evidence to support the claim