The following sample was taken from a normally distributed population:
3; 4; 5; 5; 6; 6; 6; 7; 7; 9; 10; 11; 12; 12; 13; 13; 13; 14; 15:
(a) Compute the 0.95 confidence interval on the population mean μ.
(b) Compute the 0.90 confidence interval on the population standard deviation σ
Using the data in Exercise 2, test the following hypotheses using a significance level of 5%:
(a) H
0: μ = 13, H
1: μ
13.
(b) H
0: σ2
= 10, H
1: σ2
10.
Exercise 2
The following sample was taken from a normally distributed population:
3; 4; 5; 5; 6; 6; 6; 7; 7; 9; 10; 11; 12; 12; 13; 13; 13; 14; 15:
(a) Compute the 0.95 confidence interval on the population mean μ.
(b) Compute the 0.90 confidence interval on the population standard deviation σ