The average American gets a haircut every 44 days. Is the average smaller for college students? The data below shows the results of a survey of 14 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal.45, 40, 50, 30, 40, 36, 43, 34, 34, 38, 43, 41, 32, 43What can be concluded at the the αα = 0.01 level of significance level of significance?For this study, we should use The null and alternative hypotheses would be: H0:H0: H1:H1: The test statistic = (please show your answer to 3 decimal places.)The p-value = (Please show your answer to 3 decimal places.)The p-value is ααBased on this, we should the null hypothesis.Thus, the final conclusion is that ...The data suggest the population mean is not significantly lower than 44 at αα = 0.01, so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is equal to 44.The data suggest the population mean number of days between haircuts for college students is not significantly lower than 44 at αα = 0.01, so there is insufficient evidence to conclude that the population mean number of days between haircuts for college students is lower than 44.The data suggest the populaton mean is significantly lower than 44 at αα = 0.01, so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is lower than 44.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The average American gets a haircut every 44 days. Is the average smaller for college students? The data below shows the results of a survey of 14 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal.

45, 40, 50, 30, 40, 36, 43, 34, 34, 38, 43, 41, 32, 43

What can be concluded at the the αα = 0.01 level of significance level of significance?

For this study, we should use
The null and alternative hypotheses would be:

H0:H0:

H1:H1:

The test statistic = (please show your answer to 3 decimal places.)
The p-value = (Please show your answer to 3 decimal places.)
The p-value is αα
Based on this, we should the null hypothesis.
Thus, the final conclusion is that ...
- The data suggest the population mean is not significantly lower than 44 at αα = 0.01, so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is equal to 44.
- The data suggest the population mean number of days between haircuts for college students is not significantly lower than 44 at αα = 0.01, so there is insufficient evidence to conclude that the population mean number of days between haircuts for college students is lower than 44.
- The data suggest the populaton mean is significantly lower than 44 at αα = 0.01, so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is lower than 44.