Answered: Assume the distribution of commute…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Assume the distribution of commute times to a major city follows the normal probability distribution and the standard deviation is 4.5 minutes. A random sample of 104 commute times is given below in minutes. Use Excel to find the 98% confidence interval for the mean travel time in minutes. Round your answers to one decimal place and use ascending order.

Time
21
15
35
40
40
34
32
11
18
35
9
31
15
29
41
37
40
10
31
14
39
14
11
33
38
21
35
33
34
27
31
26
35
27
32
18
40
17
32
38
28
11
21
30
33
12
24
23
24
37
30
28
10
13
33
10
10
14
41
15
36
11
13
38
39
15
37
39
41
11
12
35
16
41
34
29
36
32
20
27
34
32
25
16
34
13
29
27
33
20
17
40
28
23
34
12
33
37
39
36
11
42
33
20

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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