Answered: A supermarket chain believes that…

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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A supermarket chain believes that customers to its stores spend less than half-anhour,
on average, doing their purchases. A consumer body wants to verify this claim.
They observed the entry and departure times of 100 randomly selected customers
from supermarkets in the chain. The sample average time in the store was 27.9
minutes. Assume a population standard deviation of 10.5 minutes and that shopping
time is approximately normally distributed.

a. Test the validity of the supermarket’s belief by conducting a hypothesis test
for a single mean based on the critical value. Use ? = 0.01. What conclusion
can be drawn?
b. Compute the p-value for the test in c. and draw the appropriate management
conclusion based on the p-value.

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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