Question

For this problem, the Central Limit Theorem does apply. Use the sample shown below (n = 20). Determine the following confidence intervals, indicating the Cl endpoints to 2 decimal places: Confidence Interval low end high end 95% Cl for population mean 95% CI for population variance This sample was collected from a population having an unknown oʻ: 5 9 10 28.33 16.59 26.37 18.20 14.64 12.58 20.12 18.25 25.75 20.29 25.06 20.79 19.78 15.29 21.96 24.05 11.42 11.06 15.36 19.17 11 12 13 14 15 16 17 18 19 20

Answer 1

EXCEL (Mega Stat) output: Hypothesis Test: Mean vs. Hypothesized Value 19.25300 mean Sample 5.01653 std. dev. 1.12173 std. error 20 n 19 df 16.90519 confidence interval 95.% lower 21.60081 confidence interval 95.% upper 2.34781 margin of error EXCEL (Mega Stat) output: Chi-square Variance Test 25.16558 observed variance of Sample 20 n 19 df 14.55440 confidence interval 95 % lower 53.68496 confidence interval 95.% upper

| 95% CI for population mean 95% CI for population variance Low end 16.91 14.55 High end 21.60 53.68