their homes. Random samples of 11 days from Atlanta (Group 1) and 12 days from New Orleans (Group 2) are shown below. Test the claim that the mean number of kilowatt hours in Atlanta is less than the mean number of kilowatt hours in New Orleans. Use a significance level of a = 0.05. Assume the populations are approximately normally distributed with unequal variances. Round answers to 4 decimal places. Atlanta New Orleans 793.5 799 800.4 813.5 773.8 788.3 792.4 780.8 773.1 793.5 804.8 809.2 807.6 803.6 814.8 824.3 811.8 802.9 788.1 816.5 800.6 789.7 791.4 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols for each of the 6 spaces. Ho: P H₁: ₁ Based on the hypotheses, find the following: Test Statistic = -2.5904 X p-value = 0.0087 X H₂ The p-value is less than (or equal to) alpha H₂ oto alpha.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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Related questions
Question
A researcher is studying how much electricity (in kilowatt hours) people from two different cities use in
their homes. Random samples of 11 days from Atlanta (Group 1) and 12 days from New Orleans (Group 2)
are shown below. Test the claim that the mean number of kilowatt hours in Atlanta is less than the mean
number of kilowatt hours in New Orleans. Use a significance level of a = 0.05. Assume the populations are
approximately normally distributed with unequal variances. Round answers to 4 decimal places.
Atlanta New Orleans
793.5
809.2
799
807.6
800.4
803.6
813.5
814.8
773.8
824.3
788.3
811.8
802.9
788.1
816.5
800.6
789.7
791.4
792.4
780.8
773.1
793.5
804.8
What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols
for each of the 6 spaces.
Ho: H,
H₁: H₁
Based on the hypotheses, find the following:
Test Statistic = -2.5904 X
p-value = 0.0087 X
H₁₂
The p-value is less than (or equal to) alpha ✓
H₂
The correct decision is to reject the null hypothesis
to alpha.
The correct summary would be: There is enough evidence to support
o the claim that the mean
number of kilowatt hours in Atlanta is less than the mean number of kilowatt hours in New Orleans.
Transcribed Image Text:A researcher is studying how much electricity (in kilowatt hours) people from two different cities use in their homes. Random samples of 11 days from Atlanta (Group 1) and 12 days from New Orleans (Group 2) are shown below. Test the claim that the mean number of kilowatt hours in Atlanta is less than the mean number of kilowatt hours in New Orleans. Use a significance level of a = 0.05. Assume the populations are approximately normally distributed with unequal variances. Round answers to 4 decimal places. Atlanta New Orleans 793.5 809.2 799 807.6 800.4 803.6 813.5 814.8 773.8 824.3 788.3 811.8 802.9 788.1 816.5 800.6 789.7 791.4 792.4 780.8 773.1 793.5 804.8 What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols for each of the 6 spaces. Ho: H, H₁: H₁ Based on the hypotheses, find the following: Test Statistic = -2.5904 X p-value = 0.0087 X H₁₂ The p-value is less than (or equal to) alpha ✓ H₂ The correct decision is to reject the null hypothesis to alpha. The correct summary would be: There is enough evidence to support o the claim that the mean number of kilowatt hours in Atlanta is less than the mean number of kilowatt hours in New Orleans.
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