Answered: The gas mileages (in miles per…

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

The gas mileages (in miles per gallon) of

randomly selected sports cars are listed in the accompanying table. Assume the mileages are not normally distributed. Use the standard normal distribution or the t-distribution to construct a

95%

confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results.

Click the icon to view the sports car gas mileages.

gas mileages :21
31
17
21
20
24
18
24
25
20
20
29
26
25
22
16
21
25
23
20
22
21
19

Let

be the population standard deviation and let n be the sample size. Which distribution should be used to construct the confidence interval?

▼

be used to construct the confidence interval, since

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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