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

8 minutes. A local resident is skeptical and collects a random sample of

49 wait times for customers at the testing station.

He finds that the sample mean is

7.54

minutes, with a standard deviation of

3.4 minutes. Does the sample evidence support the resident's skepticism? Use the

=0.005 level of significance to test the advertised claim.

What is the value of the test statistic?

(Round to two decimal places as needed.)

What is P Value?:

(Pick the best answer)

Since the P Value is _______ (Less/Greater) than a ____(do not reject/reject) the null hypothesis there _____ (is/ is not) sufficient evidence to conclude that the mean wait time is less than 8 minutes. In other words the evidence ____ (supports, does not support) the residents skeptism.

Explanation / Answer

here std error =std deviation/(n)1/2 =0.4857

hence test stat t=(X-mean)/std error =(7.54-8)/0.4857 =-0.9471

for above test stat at 48 degree of freedom p value =0.1742

Since the P Value isGreaterthan a do not rejectthe null hypothesis there  is not sufficient evidence to conclude that the mean wait time is less than 8   In other words the evidence does not support the residents skeptism

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