Question

The average wait time to get seated at a popular restaurant in the city on a Friday night is 11 minutes. Is the mean wait time greater for men who wear a tie? Wait times for 15 randomly selected men who were wearing a tie are shown below. Assume that the distribution of the population is normal. 10, 10, 12, 9, 12, 10, 13, 13, 13, 9, 13, 13, 13, 12, 9 What can be concluded at the the α = 0.10 level of significance level of significance? For this study, we should use The null and alternative hypotheses would be: H 0 : H 1 : The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is α Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest the populaton mean is significantly more than 11 at α = 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 11. The data suggest that the population mean wait time for men who wear a tie is not significantly more than 11 at α = 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 11. The data suggest the population mean is not significantly more than 11 at α = 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 11.

Answer 1

The mean is calculated as

and sample standard deviation is calculated as

S= 1.6818

Now,

The Hypotheses are:

Test Statistic:

We will be using T-test since population standard deviation is unkown and sample size is <<30.

P-valueP-value for T statistic is calculated using T-table shown below as

P-value= 0.1863

Thus, the final conclusion is :

SInce the P-value is >>010 hence the conclusion based on the P-value will be that we fail to reject the null hypothesis,

The data suggest that the population mean wait time for men who wear a tie is not significantly more than 11 at α = 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 11