A certain vehicle emission inspection station advertises that the wait time for

Question

A certain vehicle emission inspection station advertises that the wait time for customers is less than 11 minutes. A local resident is skeptical and collects a random sample of 64 wait times for customers at the testing station. He finds that the sample mean is 9.57 minutes, with a standard deviation of 4.5 minutes. Does the sample evidence support the resident's skepticism? Use the -0.01 level of significance. Complete parts (a) through (d) below. (a) Determine the null and alternative hypotheses (b) Calculate the P-value P-value (Round to three decimal places as needed) (c) State the conclusion for the test. Since the P-value is than ?. (d) State the conclusion in context of the problem, There ? | sufficient evidence at the ?-0.01 level of significance to conclude that the wait time for customers is less than 11 minutes. The sample evidence the null hypothesis. the resident's skepticism

Explanation / Answer

The statistical software output for this problem is:

One sample T summary hypothesis test:
? : Mean of population
H0 : ? = 11
HA : ? < 11

Hypothesis test results:

Hence,

a) Hypotheses:

H0 : ? = 11
HA : ? < 11

b) P - value = 0.007

c) Less; Reject

d) is; Do not support

Mean Sample Mean Std. Err. DF T-Stat P-value ? 9.57 0.5625 63 -2.5422222 0.0067

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