Test the claim that the mean GPA of night students is smaller than 2.3 at the 0.025 significance level.
Solution :
This is the left tailed test .
The null and alternative hypothesis is ,
H_{0} : = 2.3
H_{a} : < 2.3
Test statistic = z
= ( - ) / / n
= (2.28 - 2.3) / 0.07 / 60
Test statistic = -2.21
P(z < -2.21) = 0.0136
P-value = 0.01
= 0.025
P-value <
Reject the null hypothesis .
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