Chapter 8.3, Problem 3.3CYU

To determine

To find: The 95% confidence interval for population mean $\left(\mu \right)$ .

Answer to Problem 3.3CYU

The confidence interval is (22.338, 29.962).

Explanation of Solution

Given:

The data set is:

29

27

34

40

22

28

14

35

26

35

12

30

23

18

11

22

23

33

Formula used:

The formula to compute the confidence interval is:

  $\overline{x}-t_{\frac{\alpha }{2}}\times \frac{s}{\sqrt{n}}<\mu <\overline{x}+t_{\frac{\alpha }{2}}\times \frac{s}{\sqrt{n}}$

Calculation:

The output obtained using Ti-83 calculator is:

  

Thus, the obtained confidence interval is (22.338, 29.962).