Answered: The average expenditure on Valentine’s…

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 average expenditure on Valentine’s Day was expected to be $100.89. Do male and female consumers differ in the amounts they spend? The average expenditure in a sample survey of 40 male consumers was $135.67 and the average expenditure in a sample survey of 40 female consumers was $68.64. Based on past surveys, the population standard deviation for male consumers is assumed to be $35, and the population standard deviation for female consumers is assumed to be $20:

Gender	Sample Size	Sample Mean	Population Standard Deviation
Male	40	$135.67	$35
Female	40	$68.64	$20

Step 1 Formulate the hypotheses.

Step 2 Identify the appropriate test statistic and its probability distribution. Step 3: α = 0.05.

Step 4 State the decision rule, along with the critical value.

Step 5 Calculate the test statistic.

Step 6 Apply the decision rule and draw a conclusion

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