Question

In: Statistics and Probability

Test the claim that the mean GPA of night students is larger than the mean GPA...

Test the claim that the mean GPA of night students is larger than the mean GPA of day students at the .025 significance level.

The null and alternative hypothesis

H0:μN=μD

H1:μN>μD

The Test is Right Tailed

The sample consisted of 30 night students, with a sample mean GPA of 3.23 and a standard deviation of 0.02, and 60 day students, with a sample mean GPA of 3.19 and a standard deviation of 0.06.

The test statistic is:

The critical value is:

Expert Solution

Test statistic = 4.671

To find critical values having two methods

First method :

t Critical value = 1.990

Second method :

critical value = smaller ( n1-1 , n2 -1 )

= smaller ( 30 -1 , 60 -1 )

= smaller ( 29 , 59 )

= 29

so at alpha = 0.025 l.o.s , df = 29 ( right tailed )

t critical value = 2.045

orchestra answered 2 years ago

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