r no difference between the population m hat the population means differ?
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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![Bank of America's Consumer Spending Survey collected data on annual credit card charges in seven different categories of expenditures: transportation,
groceries, dining out, household expenses, home furnishings, apparel, and entertainment. Using data from a sample of 42 credit card accounts, assume that
each account was used to identify the annual credit card charges for groceries (population 1) and the annual credit card charges for dining out (population 2).
Using the difference data, the sample mean difference was d = $850 , and the sample standard deviation was sa = $1,123.
a. Formulate the null and alternative hypotheses to test for no difference between the population mean credit card charges for groceries and the population
mean credit card charges for dining out.
Ho : Hd is equal to 0
Ha : Hd is less than or equal to 0
b. Use a = 0.05 level of significance. Can you conclude that the population means differ?
differ
What is the p-value? (to 6 decimals)
C. Which category, groceries or dining out, has a higher population mean annual credit card charge?
groceries
What is the point estimate of the difference between the population means?- Round to the nearest whole number.
What is the 95% confidence interval estimate of the difference between the population means? Round to the nearest whole number.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c9975ee-acb0-44ea-9908-795aeaaccbab%2F7ec08579-3d85-4072-a61b-8fd2ab394d10%2Fvv7us6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Bank of America's Consumer Spending Survey collected data on annual credit card charges in seven different categories of expenditures: transportation,
groceries, dining out, household expenses, home furnishings, apparel, and entertainment. Using data from a sample of 42 credit card accounts, assume that
each account was used to identify the annual credit card charges for groceries (population 1) and the annual credit card charges for dining out (population 2).
Using the difference data, the sample mean difference was d = $850 , and the sample standard deviation was sa = $1,123.
a. Formulate the null and alternative hypotheses to test for no difference between the population mean credit card charges for groceries and the population
mean credit card charges for dining out.
Ho : Hd is equal to 0
Ha : Hd is less than or equal to 0
b. Use a = 0.05 level of significance. Can you conclude that the population means differ?
differ
What is the p-value? (to 6 decimals)
C. Which category, groceries or dining out, has a higher population mean annual credit card charge?
groceries
What is the point estimate of the difference between the population means?- Round to the nearest whole number.
What is the 95% confidence interval estimate of the difference between the population means? Round to the nearest whole number.
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