Question

# Test the claim that the mean GPA of night students is larger than 2.4 at the...

Test the claim that the mean GPA of night students is larger than 2.4 at the 0.025 significance level.

The null and alternative hypothesis would be:

H0:p≤0.6H0:p≤0.6
H1:p>0.6H1:p>0.6

H0:μ≤2.4H0:μ≤2.4
H1:μ>2.4H1:μ>2.4

H0:p=0.6H0:p=0.6
H1:p≠0.6H1:p≠0.6

H0:p≥0.6H0:p≥0.6
H1:p<0.6H1:p<0.6

H0:μ≥2.4H0:μ≥2.4
H1:μ<2.4H1:μ<2.4

H0:μ=2.4H0:μ=2.4
H1:μ≠2.4H1:μ≠2.4

The test is:

two-tailed

right-tailed

left-tailed

Based on a sample of 75 people, the sample mean GPA was 2.43 with a standard deviation of 0.05

The p-value is:  (to 2 decimals)

Based on this we:

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

Can you please tell me how you get the answer on a TI 84 PLUS as well

We were unable to transcribe this image

t24 0.025 = 1.984 Decision Rule & 24 to 7 este then Beject to ot 0.025-1 2-0.5. tal = 0.5196 < ttable 21.989 0.5196 C 1.984 Accept Ho et o.o25 conclusion :- GPA of might student is u- 2.4

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