Answered: At the time she was hired as a server…

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

At the time she was hired as a server at the Grumney Family Restaurant, Beth Brigden was told, “You can average $75 a day in tips.” Assume the population of daily tips is normally distributed with a standard deviation of $4.27. Over the first 37 days she was employed at the restaurant, the mean daily amount of her tips was $76.10. At the 0.05 significance level, can Ms. Brigden conclude that her daily tips average more than $75?

a.State the null hypothesis and the alternate hypothesis.

b.State the decision rule.

c.Compute the value of the test statistic.

d.What is your decision regarding H0?

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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