Question

The average wait time to get seated at a popular restaurant in the city on a Friday night is 7 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. 6, 8, 6, 8, 8, 5, 7, 4, 7, 6, 4, 7 What can be concluded at the the α = 0.01 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 less than 7 at α = 0.01, so there is enough evidence to conclude that the population mean wait time for men who wear a tie is less than 7. The data suggest that the population mean wait time for men who wear a tie is not significantly less than 7 at α = 0.01, so there is not enough evidence to conclude that the population mean wait time for men who wear a tie is less than 7. The data suggest the population mean is not significantly less than 7 at α = 0.01, so there is not enough evidence to conclude that the population mean wait time for men who wear a tie is equal to 7. Hint: Helpful Videos: Calculations [+] Setup [+] Interpretations [+]

Answer 1

First we need to find the mean and SD of data sets. Following table shows the calculations:

	X	(X-mean)^2
	6	0.1089
	8	2.7889
	6	0.1089
	8	2.7889
	8	2.7889
	5	1.7689
	7	0.4489
	4	5.4289
	7	0.4489
	6	0.1089
	4	5.4289
	7	0.4489
Total	76	22.6668

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Correct option:

The data suggest that the population mean wait time for men who wear a tie is not significantly less than 7 at α = 0.01, so there is not enough evidence to conclude that the population mean wait time for men who wear a tie is less than 7.