The average American gets a haircut every 37 days. Is the average larger for college students? The data below shows the results of a survey of 11 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. 38, 49, 46, 35, 34, 34, 45, 40, 35, 49, 31 What can be concluded at the the a = 0.10 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: Но: 37 H1: 37 c. The test statistic t v = 1.337 (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 3 decimal places.) e. The p-value is ?a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean is not significantly higher than 37 at a = 0.10, so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is equal to 37. O The data suggest the population mean number of days between haircuts for college students is not significantly higher than 37 at a = 0.10, so there is insufficient evidence to conclude that the population mean number of days between haircuts for college students is higher than 37. O The data suggest the populaton mean is significantly higher than 37 at a = 0.10, so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is higher than 37.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

#4

The average American gets a haircut every 37 days. Is the average larger for college students? The data
below shows the results of a survey of 11 college students asking them how many days elapse between
haircuts. Assume that the distribution of the population is normal.
38, 49, 46, 35, 34, 34, 45, 40, 35, 49, 31
What can be concluded at the the a = 0.10 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:
Но:
37
H1:
37
c. The test statistic t v
= 1.337
(please show your answer to 3 decimal places.)
d. The p-value =
(Please show your answer to 3 decimal places.)
e. The p-value is ?v a
f. Based on this, we should Select an answer v the null hypothesis.
g. Thus, the final conclusion is that ...
O The data suggest the population mean is not significantly higher than 37 at a = 0.10, so there
is sufficient evidence to conclude that the population mean number of days between haircuts
for college students is equal to 37.
O The data suggest the population mean number of days between haircuts for college students is
not significantly higher than 37 at a = 0.10, so there is insufficient evidence to conclude that
the population mean number of days between haircuts for college students is higher than 37.
O The data suggest the populaton mean is significantly higher than 37 at a = 0.10, so there is
sufficient evidence to conclude that the population mean number of days between haircuts for
college students is higher than 37.
Transcribed Image Text:The average American gets a haircut every 37 days. Is the average larger for college students? The data below shows the results of a survey of 11 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. 38, 49, 46, 35, 34, 34, 45, 40, 35, 49, 31 What can be concluded at the the a = 0.10 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: Но: 37 H1: 37 c. The test statistic t v = 1.337 (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 3 decimal places.) e. The p-value is ?v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the population mean is not significantly higher than 37 at a = 0.10, so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is equal to 37. O The data suggest the population mean number of days between haircuts for college students is not significantly higher than 37 at a = 0.10, so there is insufficient evidence to conclude that the population mean number of days between haircuts for college students is higher than 37. O The data suggest the populaton mean is significantly higher than 37 at a = 0.10, so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is higher than 37.
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