A survey of 41 people was conducted to compare their self-reported height to their actual height. The difference between reported height and actual height was calculated. You're testing the claim that...

A survey of 41 people was conducted to compare their self-reported height to their actual height. The difference between reported height and actual height was calculated.


You're testing the claim that the mean difference is greater than 1.


From the sample, the mean difference was 1.1, with a standard deviation of 0.54.


Calculate the test statistic, rounded to two decimal places

=

Test the claim that the mean GPA of night students is smaller than the mean GPA of day students at the 0.05 significance level.


The null and alternative hypothesis would be:

The test is:

The sample consisted of 80 night students, with a sample mean GPA of 2.55 and a standard deviation of 0.03, and 80 day students, with a sample mean GPA of 2.6 and a standard deviation of 0.06.


The test statistic is:  (to 2 decimals)


The p-value is:  (to 2 decimals)


Based on this we: