You may need to use the appropriate technology to answer this question. A 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, with population 1 - population 2, the sample mean difference was d = $830, and the sample standard deviation was sd = $1,128. (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. O O Ho Hd O Ha: Pd = 0 O Hodo Ha: Hd > 0 Ho: Hd = 0 Ha: d0 Ho Hd 20 Ha: Md <0 Ho Hd <0 H₂: Hd = 0 O
You may need to use the appropriate technology to answer this question. A 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, with population 1 - population 2, the sample mean difference was d = $830, and the sample standard deviation was sd = $1,128. (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. O O Ho Hd O Ha: Pd = 0 O Hodo Ha: Hd > 0 Ho: Hd = 0 Ha: d0 Ho Hd 20 Ha: Md <0 Ho Hd <0 H₂: Hd = 0 O
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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Transcribed Image Text:https://www.webassign.net/web) student
70.000001
Can you conclude that the population means differ? Use a 0.05 level of significance.
O The p ≤ 0.05, therefore we cannot conclude that there is a difference between the annual population mean expenditures for
groceries and for dining out.
The p > 0.05, therefore we can conclude that there is a difference between the annual population mean expenditures for groceries
and for dining out.
O The p > 0.05, therefore we cannot conclude that there is a difference between the annual population mean expenditures for
groceries and for dining out.
O The p ≤ 0.05, therefore we can conclude that there is a difference between the annual population mean expenditures for groceries
and for dining out.
(c) What is the point estimate (in dollars) of the difference between the population means?
$
What is the 95% confidence interval estimate (in dollars) of the difference between the population means? (Round your answers to the
nearest dollar.)
$
to $
X
Which category, groceries or dining out, has a higher population mean annual credit card charge?
The 95% confidence interval is completely above ✓
groceries
zero. This suggests that the category with higher mean annual expenditure is

Transcribed Image Text:You may need to use the appropriate technology to answer this question.
A 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, with population 1 - population 2, the sample mean difference was d = $830, and the sample standard
deviation was s = $1,128.
(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.
O
O
O
Ho: Md 0
H₂: H = 0
O
Ho Hd ≤0
Ha: Md > 0
O
Ho: d=0
Ha: Pd #0
Ho: Mo
Hai Hd < 0
Ho: <0
H₂: Hd = 0
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