The average wait time to get seated at a popular restaurant in the city on a Friday night is 8 minutes.  Is the mean wait time less for men who wear a tie? Wait times for 12 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 8, 7, 7, 5, 5, 5, 8, 9, 7, 8, 5, 6 What can be concluded at the the αα = 0.05 level of significance level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion  The null and alternative hypotheses would be:       H0:H0:  ? p μ  Select an answer < ≠ > =         H1:H1:  ? μ p  Select an answer < > = ≠     The test statistic ? t z  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is ? > ≤  αα

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The average wait time to get seated at a popular restaurant in the city on a Friday night is 8 minutes.  Is the mean wait time less for men who wear a tie? Wait times for 12 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal.

8, 7, 7, 5, 5, 5, 8, 9, 7, 8, 5, 6

What can be concluded at the the αα = 0.05 level of significance level of significance?

  1. For this study, we should use Select an answer t-test for a population mean z-test for a population proportion 
  2. The null and alternative hypotheses would be:     

 H0:H0:  ? p μ  Select an answer < ≠ > =       

 H1:H1:  ? μ p  Select an answer < > = ≠    

  1. The test statistic ? t z  =  (please show your answer to 3 decimal places.)
  2. The p-value =  (Please show your answer to 4 decimal places.)
  3. The p-value is ? > ≤  αα
  4. Based on this, we should Select an answer accept fail to reject reject  the null hypothesis.
  5. Thus, the final conclusion is that ...
    • The data suggest the populaton mean is significantly less than 8 at αα = 0.05, so there is statistically significant evidence to conclude that the population mean wait time for men who wear a tie is less than 8.
    • The data suggest that the population mean wait time for men who wear a tie is not significantly less than 8 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is less than 8.
    • The data suggest the population mean is not significantly less than 8 at αα = 0.05, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is equal to 8.

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