Question

Suppose you wish to estimate the mean of a normal population using a 95% confidence interval, and you know from prior information that σ² ≈ 1.

a. To see the effect of the sample size on the width of the confidence interval, calculate the width of the confidence interval for n = 16, 25, 49, 100, and 400.

b. Plot the width as a function of sample size n on graph paper. Connect the points by a smooth curve and note how the width decreases as n increases.

Answer 1

)贮恕 ㄣ达-o.os 16

SE Z. 4 : σ.56 : 4.96 x 4

406

b) We have to plot the width as a function of sample size n on a graph pape. 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 50 100 150200 250300350 400 Sample Size as n increases.