Answered: Construct a 95% confidence interval for…

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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Construct a 95% confidence interval for the true mean of city mileage (MPG) of all cars with a manual transmission. Assume that MPG of cars with a manual transmission follows a normal distribution. Also, provide an interpretation of the confidence interval in context.

Here is my work so far

Manual and Automatic Transmission

Total # of Cars = 1129

Total # of Automatic Trans. = 877

Total # of Manual Trans. = 252

Average (Auto) = 18.97948

Average (Manual) = 20.69841

Standard Deviation (Auto) = 8.390146

Standard Deviation (Manual) = 8.565189

Automatic

Min: 8

Q1: 15

Median: 18

Q3: 21

Mode: =MAX(B2:B878) = 126

Manual

Min: 11

Q1: 18

Median: 20

Q3: 24

Mode: 31

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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