Each student in a sample of 10 was asked for the distance and the time required to commute to college yesterday. The data collected are shown in the table.
| 1 |
3 |
4 |
5 |
7 |
8 |
10 |
11 |
11 |
12 |
| 5 |
10 |
10 |
10 |
15 |
15 |
25 |
15 |
20 |
25 |
Given an equation for the line of best fit of = 3.78 + 1.56x, se2 = 10.0826, Σx = 72, and SS(x) = 131.6, make the following estimates.
(a) Give a point estimate for the mean time required to commute 4 miles. (Give your answer correct to two decimal places.)
(b) Give a 90% confidence interval for the mean travel time required to commute 4 miles. (Give your answers correct to two decimal places.)
(c) Give a 90% prediction interval for the travel time required for one person to commute the 4 miles. (Give your answers correct to two decimal places.)