Each student in a sample of 10 was asked for the distance an

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.

(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.)

Solution

x= 54

y = 2.91+2.05(54) = 113.61

b) confidence interval 90%

z value = 1.64

std error = 60.4/rt 10 = 19.10

Margin of error = 1.64(19.1) =31.32

Con interval = (82.29,144.93)