Question

Acertain vehide emission inspection station advertises that the wall time for customers is less than 9 minutes. A local resident wants to test this claim and collects a random sample of 49 wait times for customers at the testing Station He finds that the sample mean is 8.42 minutes, with a standard deviation of 3.8 minutes. Does the sample evidence support the inspection station's claim? Use the a 0.05 level of significance to test the advertised claim that the wall me is lous than 5 minutes What are the hypotheses for this test? Ho 7 minus H Type an integer or a decimal) What is the value of the best sti? = (Round to two decimal places as needed) What is the value? Pwake Round to three decimal places as needed) Use the 0.05 level of significance to test the advertised claim Since the values the rol hypothesis. There suficient evidence to conclude that the man wa time is less than 5 minutes. In other words, the evidence the advertised isim 2 mer

Answer 1

Hypotheses test

H0:μ = 9

Ha:μ < 9

Test statistic

z =

Τ – μ/σίνη

= −1.07

p- value

p value with statistic z = -1.07 is

p-value = p (z < -1.07 )

= 0.142

she is P value is greater than  $\alpha$ .fail to reject the null hypothesis there is not sufficient evidence to conclude that the min wait time is less then 9 minuite in other words the evidence does not support the advertised claim.