The following random sample was selected from a normal distribution: 5 20 18 3 10 2 6 9 19 13 a. construct a 90% confidence interval for the population mean μ: ≤ μ ≤ b. construct a 95% confidence interval for the population mean μ: ≤ μ ≤

95% Confidence interval: (6.34,14.66)

Step-by-step explanation:

We are given the following data set:

5, 20, 18, 3, 10, 2, 6, 9, 19, 13

Formula:

where are data points, is the mean and n is the number of observations.  

Sum of squares of differences =

30.25 + 90.25 + 56.25 + 56.25 + 0.25 + 72.25 + 20.25 + 2.25 + 72.25 + 6.25 = 406.5

Confidence interval:

Putting the values, we get,

option 1

data plot with   3 dots over 33, 1 dot over 34, 2 dots over 35, no dot over 36, 1 dot over 37, 2 dots over 38, 4 dots over 39, and 2 dot over 40.