Suppose you work as a manager for a large clothing store. You are considering introducing a loyalty program to encourage customers to spend more at your store. Before rolling out your program to the public, you want to do a small experiment to estimate its effectiveness. You offer the loyalty program to 10 random customers, and also observed the sales of 27 random customers who did not get the program as a control group. The customers that were part of the loyalty program had average monthly sales of $302.57 and a sample standard deviation of $49.73. For the control group, the customers had an average monthly sales of $231.65 and a sample standard deviation of $67.88. * Given a 95% confidence interval critical value of t = 2.04, what is the upper bound (upper end) of a 95% confidence interval for the difference between two averages? Use (loyalty program no loyalty program) for the order. Note: 1- Only round your final answer. Round your final answer to two decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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Suppose you work as a manager for a large clothing store. You are considering
introducing a loyalty program to encourage customers to spend more at your store.
Before rolling out your program to the public, you want to do a small experiment to
estimate its effectiveness. You offer the loyalty program to 10 random customers,
and also observed the sales of 27 random customers who did not get the program as
a control group. The customers that were part of the loyalty program had average
monthly sales of $302.57 and a sample standard deviation of $49.73. For the control
group, the customers had an average monthly sales of $231.65 and a sample
standard deviation of $67.88.
*
Given a 95% confidence interval critical value of t = 2.04, what is the upper
bound (upper end) of a 95% confidence interval for the difference between two
averages? Use (μloyalty program no loyalty program) for the order.
Note:
1- Only round your final answer. Round your final answer to two decimal places.
Transcribed Image Text:Suppose you work as a manager for a large clothing store. You are considering introducing a loyalty program to encourage customers to spend more at your store. Before rolling out your program to the public, you want to do a small experiment to estimate its effectiveness. You offer the loyalty program to 10 random customers, and also observed the sales of 27 random customers who did not get the program as a control group. The customers that were part of the loyalty program had average monthly sales of $302.57 and a sample standard deviation of $49.73. For the control group, the customers had an average monthly sales of $231.65 and a sample standard deviation of $67.88. * Given a 95% confidence interval critical value of t = 2.04, what is the upper bound (upper end) of a 95% confidence interval for the difference between two averages? Use (μloyalty program no loyalty program) for the order. Note: 1- Only round your final answer. Round your final answer to two decimal places.
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