A psychology graduate student wants to test the claim that there is a significant difference between the IQs of spouses. To test this claim, she measures the IQs of 9 married couples using a standard IQ test. The results of the IQ tests are listed in the following table. Using a 0.10 level of significance, test the claim that there is a significant difference between the IQs assuming that the population distribution of the paired differences is approximately normal. Let the spouse 1 group be Population 1 and let the spouse 2 group be Population 2.  IQs of Married Couples Spouse 1 110 109 107 115 113 116 98 123 106 Spouse 2 108 105 104 114 109 115 97 128 92Copy Data    Step 1 of 3:  State the null and alternative hypotheses for the test. Fill in the blank below. H0: Ha: μd=0: μd⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0 Step 2 of 3:  Compute the value of the test statistic. Round your answer to three decimal places. Step 3 of 3:  Draw a conclusion and interpret the decision.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A psychology graduate student wants to test the claim that there is a significant difference between the IQs of spouses. To test this claim, she measures the IQs of 9 married couples using a standard IQ test. The results of the IQ tests are listed in the following table. Using a 0.10 level of significance, test the claim that there is a significant difference between the IQs assuming that the population distribution of the paired differences is approximately normal. Let the spouse 1 group be Population 1 and let the spouse 2 group be Population 2.
 IQs of Married Couples
Spouse 1 110 109 107 115 113 116 98 123 106
Spouse 2 108 105 104 114 109 115 97 128 92
Copy Data 
 
Step 1 of 3: 
State the null and alternative hypotheses for the test. Fill in the blank below.

H0: Ha: μd=0: μd⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0
Step 2 of 3: 
Compute the value of the test statistic. Round your answer to three decimal places.
Step 3 of 3: 
Draw a conclusion and interpret the decision.
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