Two random samples of 20 students were drawn independently from two populations of students. Assume their final exams are normally distributed (total points = 100). The following statistics regarding their scores in a final exam were obtained: ₁ = 76, 5₁ = 8,₂ = 72, and s₂ = 6.5. 7₁-5₁ Test at the 5% significance level to determine whether we can infer that the two population variances differ. Test at the 5% significance level to determine whether we can infer that the two population means differ. C. Estimate with 95% confidence the difference between the two population means. d. Explain how to use the 95% confidence interval to test the hypotheses at a = .05. a. b.

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Two random samples of 20 students were drawn independently from two
populations of students. Assume their final exams are normally distributed (total points =
100). The following statistics regarding their scores in a final exam were obtained:
₁ = 76, 5₁ = 8, ₂ = 72, and s₂ = 6.5.
X₁-S₁
Test at the 5% significance level to determine whether we can infer that the two
population variances differ.
Test at the 5% significance level to determine whether we can infer that the two
population means differ.
Estimate with 95% confidence the difference between the two population means.
d. Explain how to use the 95% confidence interval to test the hypotheses at α = .05.
a.
b.
C.
Transcribed Image Text:Two random samples of 20 students were drawn independently from two populations of students. Assume their final exams are normally distributed (total points = 100). The following statistics regarding their scores in a final exam were obtained: ₁ = 76, 5₁ = 8, ₂ = 72, and s₂ = 6.5. X₁-S₁ Test at the 5% significance level to determine whether we can infer that the two population variances differ. Test at the 5% significance level to determine whether we can infer that the two population means differ. Estimate with 95% confidence the difference between the two population means. d. Explain how to use the 95% confidence interval to test the hypotheses at α = .05. a. b. C.
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