The average wait time to get seated at a popular restaurant in the city on a Friday night is 15 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. Use the p-value approach. 14, 13, 14, 14, 14, 15, 17, 16, 15, 17, 14, 16 What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use [t-test for a population mean b. The null and alternative hypotheses would be: OF Ad: OH H₁: JV = c. The test statistic tv d. The p-value = e. The p-value is [ α = (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) f. Based on this, we should [fail to reject V the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean is not significantly more than 15 at a = 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 15. The data suggest that the population mean wait time for men who wear a tie is not significantly more than 15 at a = 0.05, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is more than 15. O The data suggest the populaton mean is significantly more than 15 at x = 0.05, so there is statistically significant evidence to conclude that the population mean wait time for men who wear a tie is more than 15.
The average wait time to get seated at a popular restaurant in the city on a Friday night is 15 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. Use the p-value approach. 14, 13, 14, 14, 14, 15, 17, 16, 15, 17, 14, 16 What can be concluded at the the a = 0.05 level of significance level of significance? a. For this study, we should use [t-test for a population mean b. The null and alternative hypotheses would be: OF Ad: OH H₁: JV = c. The test statistic tv d. The p-value = e. The p-value is [ α = (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) f. Based on this, we should [fail to reject V the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean is not significantly more than 15 at a = 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 15. The data suggest that the population mean wait time for men who wear a tie is not significantly more than 15 at a = 0.05, so there is statistically insignificant evidence to conclude that the population mean wait time for men who wear a tie is more than 15. O The data suggest the populaton mean is significantly more than 15 at x = 0.05, so there is statistically significant evidence to conclude that the population mean wait time for men who wear a tie is more than 15.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 26PFA
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Transcribed Image Text:The average wait time to get seated at a popular restaurant in the city on a Friday night is 15 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. Use the p-value
approach.
14, 13, 14, 14, 14, 15, 17, 16, 15, 17, 14, 16
What can be concluded at the the a = 0.05 level of significance level of significance?
a. For this study, we should use [t-test for a population mean
b. The null and alternative hypotheses would be:
OF
Ad: OH
H₁:
JV
=
c. The test statistic tv
d. The p-value =
e. The p-value is [
α
=
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
f. Based on this, we should [fail to reject V the null hypothesis.
g. Thus, the final conclusion is that ...
O The data suggest the population mean is not significantly more than 15 at a = 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 15.
The data suggest that the population mean wait time for men who wear a tie is not
significantly more than 15 at a = 0.05, so there is statistically insignificant evidence to
conclude that the population mean wait time for men who wear a tie is more than 15.
O The data suggest the populaton mean is significantly more than 15 at x = 0.05, so there is
statistically significant evidence to conclude that the population mean wait time for men who
wear a tie is more than 15.
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