Management at a video game store wants to gain a better understanding of their customers. In order to better manage advertising directed towards different customers, they want to determine if the average amount spent by men and women at the store is different. They take a random sample of 39 men and 69 women customer. They find that on average, men in their sample spent about $150.63 with a standard deviation of $49.63 when they shopped at the store. On average, women in the sample spent about $332.40 with a standard deviation of $32.04 when they shopped at the store. Using a two-sample t-test, calculate the test statistic (t- statistic) associated with this test (HA: µm – µw + 0) (Your value may be larger than what you are used to see for a test-statistic, that is OK).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Please round intermediate numbers to 4 decimal places, and the final answer to 3 decimal places. 

Management at a video game store wants to gain a better understanding of their
customers. In order to better manage advertising directed towards different
customers, they want to determine if the average amount spent by men and women
at the store is different. They take a random sample of 39 men and 69 women
customer. They find that on average, men in their sample spent about $150.63 with a
standard deviation of $49.63 when they shopped at the store. On average, women in
the sample spent about $332.40 with a standard deviation of $32.04 when they
shopped at the store. Using a two-sample t-test, calculate the test statistic (t-
statistic) associated with this test (HA: µm – µw + 0) (Your value may be
larger than what you are used to see for a test-statistic, that is OK).
Transcribed Image Text:Management at a video game store wants to gain a better understanding of their customers. In order to better manage advertising directed towards different customers, they want to determine if the average amount spent by men and women at the store is different. They take a random sample of 39 men and 69 women customer. They find that on average, men in their sample spent about $150.63 with a standard deviation of $49.63 when they shopped at the store. On average, women in the sample spent about $332.40 with a standard deviation of $32.04 when they shopped at the store. Using a two-sample t-test, calculate the test statistic (t- statistic) associated with this test (HA: µm – µw + 0) (Your value may be larger than what you are used to see for a test-statistic, that is OK).
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