In: Statistics and Probability
20 | 4.7142857 | 22.22448980 |
18 | 2.7142857 | 7.36734694 |
11 | -4.2857143 | 18.36734694 |
20 | 4.7142857 | 22.22448980 |
16 | 0.7142857 | 0.51020408 |
14 | -1.2857143 | 1.65306122 |
15 | -0.2857143 | 0.08163265 |
15 | -0.2857143 | 0.08163265 |
14 | 1.2857143 | 1.65306122 |
13 | -2.2857143 | 5.22448980 |
11 | -4.2857143 | 18.36734694 |
18 | 2.7142857 | 7.36734694 |
20 | 4.7142857 | 22.22448980 |
9 | -6.2857143 | 39.51020408 |
a) The standard error of the sample mean
Answer: 0.9575
b) We need to construct the 99% confidence interval for the population mean μ.
The critical value for α=0.01 and df = n-1 =14-1= 13, tc= t1−α/2;n−1=3.012.
The corresponding confidence interval is computed as shown below:
Answer: (12.4015, 18.1700)