Show all calculation where needed.

Question:

Consider datasets defined as follows. Each dataset consists of a sample which contains scores of students in Statistics from same undergraduate class.

a) Estimate the population mean of scores in Statistics at 80% and 95% confidence intervals from each sample. Show all the working and summarize your results as in Table 1 below.

b) How sample size has effected the estimation process for a particular confidence interval value? Explain.

Table 1

Summary of Estimation Process Results

Sample Size N=6 Estimation at CI=80% Estimation at CI=95%

Sample Size N=15 Estimation at CI=80% Estimation at CI=95%

Dataset

Statistics Scores

(Sample 1) 66 70 40 65 65 59

Statistics Scores

(Sample 2) 68 63 65 45 84 88 28 64 52 45 84 88 28 64 52