Answered: car company says that the mean gas…

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 leasr 25 miles per gallon (mpg). You believe the claim is incorrect and find taht a random sample of 8 cars has a mean gas mileage of 24 mog and a standard deviation of 3 mpg. At a =0.10, test the company's claim. Assume thr population is normally distributed.

i) which sampling distribution should be used and why?

ii) State the appropriate hypotheses test.

iii) What is the value of the standardized test statistic?

iv) What is the critical value?

v) What is the outcome and conclusion of this test?

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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