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.
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
Copy Data
Spouse 1 | 110 | 109 | 107 | 115 | 113 | 116 | 98 | 123 | 106 |
---|---|---|---|---|---|---|---|---|---|
Spouse 2 | 108 | 105 | 104 | 114 | 109 | 115 | 97 | 128 | 92 |
Step 1 of 3:
State the null and alternative hypotheses for the test. Fill in the blank below.
H0: Ha: μd=0: μd⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0
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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