Answered: The former manager of the coffee shop…

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

The former manager of the coffee shop in a local bookstore claimed that the mean daily sales were $3,250. Heather Davis is hired as the new department manager, and she suspects that the former manager’s claim is high. Having taken a statistics course, Heather randomly selects 11 days and finds that the average sales for those days was $2,956.14 with a sample standard deviation of $370. Assuming the sales data are normally distributed, test the hypothesis that the mean daily sales is lower than $3,250. Use α = 0.01.

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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