Answered: Problem 5: A bus company advertised a…

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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Problem 5:

A bus company advertised a mean time of 150 minutes for a trip between two cities. A consumer group had reason to believe that the mean time was more than 150 minutes. A sample of 20 trips showed a mean x̄ = 153 minutes and a standard deviation s = 7.5 minutes. At an α = .10 level of significance, test the consumer group’s belief. Assume that trip lengths with this bus company follow a normal distribution. Make sure that any necessary assumptions for conducting the hypothesis test are satisfied.

A) State the null and alternative hypothesis.

H₀:

H_a:

B) Determine the critical value(s) for the test.

C) Compute the test statistic (show your work).

D) Make your decision.

E) State your conclusion in terms of the professor’s 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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