Question

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

Answer 1

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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