Answered: At α=0.10, test the company's claim.…

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

A car company says that the mean gas mileage for its luxury sedan is at least 23 miles per gallon (mpg). You believe the claim is incorrect and find that a random sample of 5 cars has a mean gas mileage of 21 mpg and a standard deviation of 4 mpg. At α=0.10, test the company's claim. Assume the population is normally distributed.

a. What sampling distribution should be used

b. Identify the Ho and Ha

c. find the critical values and sketech the rejection region

d. calculate the test statistic

e. Do you" reject the Ho" or "fail to reject Ha"

f. Interpret results, does it support or fail to support the claim

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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