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:H

0

:

N

D

H0:ND

H

1

:

N

<

D

H1:N

H

0

:

N

D

H0:ND

H

1

:

N

>

D

H1:N>D

H

0

:

p

N

p

D

H0:pNpD

H

1

:

p

N

<

p

D

H1:pN

H

0

:

p

N

p

D

H0:pNpD

H

1

:

p

N

>

p

D

H1:pN>pD

H

0

:

p

N

=

p

D

H0:pN=pD

H

1

:

p

N

p

D

H1:pNpD

H

0

:

N

=

D

H0:N=D

H

1

:

N

D

H1:ND

The test is:two-tailed

left-tailed

right-tailed

The sample consisted of 40 night students, with a sample mean GPA of 2.37 and a standard deviation of 0.05, and 40 day students, with a sample mean GPA of 2.42 and a standard deviation of 0.03.

The test statistic is:(to 2 decimals)

The p-value is:(to 4 decimals)

Based on this we:

• Reject the null hypothesis
• Fail to reject the null hypothesis