A researcher takes sample temperatures in Fahrenheit of 18 days from Pittsburgh and 16 days from Cleveland. Use the sample data shown in the table. Test the claim that the mean temperature in Pittsburgh greater than the mean temperature in Cleveland. Use a significance level of a = 0.01. Assume the populations are approximately normally distributed with unequal variances. Note that list 1 is longer than list 2, so these are 2 independent samples, not matched pairs. Pittsburgh Cleveland 99 82.1 91.2 60.4 88.1 75.5 91.8 79.5 96 73.3 90.6 57.5 91.5 63.4 69.5 64.1 88.6 78.9 89.2 93 86.2 76.7 83.9 57.5 107.1 58.4 98.5 80.7 82.2 81.4 72.4 55.2 85.2 105.3 The Null Hypotheses is: Ho: µ1 - µ2 = 0 What is the alterative hypothesis? Select the correct symbols for each space. (Note this may view better in full screen mode.) HA: µ1 - µ2 ? v Select an answer Based on these hypotheses, find the following. Round answers to 4 decimal places. Test Statistic = p-value =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A researcher takes sample temperatures in Fahrenheit of 18 days from Pittsburgh and 16 days from
Cleveland. Use the sample data shown in the table.
Test the claim that the mean temperature in Pittsburgh greater than the mean temperature in Cleveland.
Use a significance level of a = 0.01.
Assume the populations are approximately normally distributed with unequal variances.
Note that list 1 is longer than list 2, so these are 2 independent samples, not matched pairs.
Pittsburgh
Cleveland
99
82.1
91.2
60.4
88.1
75.5
91.8
79.5
96
73.3
90.6
57.5
91.5
63.4
69.5
64.1
88.6
78.9
89.2
93
86.2
76.7
83.9
57.5
107.1
58.4
98.5
80.7
82.2
81.4
72.4
55.2
85.2
105.3
The Null Hypotheses is: Ho: µ1 - µ2 = 0
What is the alterative hypothesis? Select the correct symbols for each space. (Note this may view better in
full screen mode.)
HA: µ1 - µ2 ? v Select an answer
Based on these hypotheses, find the following. Round answers to 4 decimal places.
Test Statistic =
p-value =
Transcribed Image Text:A researcher takes sample temperatures in Fahrenheit of 18 days from Pittsburgh and 16 days from Cleveland. Use the sample data shown in the table. Test the claim that the mean temperature in Pittsburgh greater than the mean temperature in Cleveland. Use a significance level of a = 0.01. Assume the populations are approximately normally distributed with unequal variances. Note that list 1 is longer than list 2, so these are 2 independent samples, not matched pairs. Pittsburgh Cleveland 99 82.1 91.2 60.4 88.1 75.5 91.8 79.5 96 73.3 90.6 57.5 91.5 63.4 69.5 64.1 88.6 78.9 89.2 93 86.2 76.7 83.9 57.5 107.1 58.4 98.5 80.7 82.2 81.4 72.4 55.2 85.2 105.3 The Null Hypotheses is: Ho: µ1 - µ2 = 0 What is the alterative hypothesis? Select the correct symbols for each space. (Note this may view better in full screen mode.) HA: µ1 - µ2 ? v Select an answer Based on these hypotheses, find the following. Round answers to 4 decimal places. Test Statistic = p-value =
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