Question

8

The average wait time to get seated at a popular restaurant in the city on a Friday night is 10 minutes. Is the mean wait time greater 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, 8, 9, 10, 9, 9, 8, 9, 12, 11, 12, 11

What can be concluded at the the αα = 0.10 level of significance level of significance?

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

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

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

3. The test statistic ? z t  =  (please show your answer to 3 decimal places.)
4. The p-value =  (Please show your answer to 4 decimal places.)
5. The p-value is ? ≤ >  αα
6. Based on this, we should Select an answer reject fail to reject accept  the null hypothesis.
7. Thus, the final conclusion is that ...
   • The data suggest that the population mean wait time for men who wear a tie is not significantly more than 10 at αα = 0.10, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is more than 10.
   • The data suggest the population mean is not significantly more than 10 at αα = 0.10, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is equal to 10.
   • The data suggest the populaton mean is significantly more than 10 at αα = 0.10, so there is statistically significant evidence to conclude that the population mean wait time for men who wear a tie is more than 10.

Answer 1