Question

est the claim that the mean GPA of night students is larger than 3 at the 0.05 significance level.

The null and alternative hypothesis would be:

H0:?=3
H1:??3

H0:??3
H1:?<3

H0:p?0.75
H1:p<0.75

H0:p=0.75
H1:p?0.75

H0:p?0.75
H1:p>0.75

H0:??3
H1:?>3

Based on a sample of 60 people, the sample mean GPA was 3.01 with a standard deviation of 0.08

The p-value is: (to 2 decimals) ________________

Answer 1

H₀: < 3

H₁: > 3

The test statistic t = ()/(s/)

                             = (3.01 - 3)/(0.08/)

                             = 0.968

DF = 60 - 1 = 59

P-value = P(T > 0.968)

              = 1 - P(T < 0.968)

              = 1 - 0.83

              = 0.17