pleasew helpThe mean work week for new college graduates is believed to be about 53 hours. A univeristy career office believes that it has changed in recent years. They conduct a survey of recent graduates.You wish to test the claim that the mean numbers of hours that college graduates work per week is not equal to 53 hours at a significance level of α=0.01α=0.01. 1) Setup competing hypotheses Choose the correct null hypothesis: H0:μ≤53H0:μ≥53H0:μ=53Choose the correct alternative hypothesis: Ha:μ≠53Ha:μ≠53 hoursHa:μ>53Ha:μ>53 hoursHa:μ<53Ha:μ<53 hours 2) Sample data (no answers for this part) You obtain a sample of size 38 with a mean of 48.5 hours and a standard deviation of 13.1 hours. 3) What is the test statistic and the pp-value for this sample? test stat. = Round your answer to 3 decimal places.pp -value= Round your answer to 4 decimal places.Don't forget to recalculate the standard deviation before calculating the answers.4) Make a decisionThe p-value is...less than (or equal to) α=α= 0.01greater than α=α= 0.01This p-value leads to the decision...reject the null hypothesisdo not reject the null hypothesis

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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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pleasew help

The mean work week for new college graduates is believed to be about 53 hours. A univeristy career office believes that it has changed in recent years. They conduct a survey of recent graduates.

You wish to test the claim that the mean numbers of hours that college graduates work per week is not equal to 53 hours at a significance level of α=0.01α=0.01.

1) Setup competing hypotheses

Choose the correct null hypothesis:

H0:μ≤53
H0:μ≥53
H0:μ=53

Choose the correct alternative hypothesis:

Ha:μ≠53Ha:μ≠53 hours
Ha:μ>53Ha:μ>53 hours
Ha:μ<53Ha:μ<53 hours

2) Sample data (no answers for this part)

You obtain a sample of size 38 with a mean of 48.5 hours and a standard deviation of 13.1 hours.

3) What is the test statistic and the pp-value for this sample?

test stat.	=		Round your answer to 3 decimal places.
pp -value	=		Round your answer to 4 decimal places.

Don't forget to recalculate the standard deviation before calculating the answers.

4) Make a decision

The p-value is...

less than (or equal to) α=α= 0.01
greater than α=α= 0.01

This p-value leads to the decision...

reject the null hypothesis
do not reject the null hypothesis

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