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MATH 180 MATH180 MATH/180 Week 10_ Chapter 9 Homework 162.pdf

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MATH 180 MATH180 MATH/180 Week 10_ Chapter 9 Homework 162.pdf

Sibling IQ Scores (Raw Data, Software Required):
There have been numerous studies involving the correlation and differences in IQ’s among siblings.Here we consider a small example of such a study. We will test the claim that, on average, oldersiblings have a higher IQ than their younger sibling.
The results are depicted for a sample of 10 siblings in the table below. Test the claim at the 0.05 significance level. You may assume the sample of differences comes from a normally distributed population.

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MATH 180 MATH180 MATH/180 Week 10_ Chapter 9 Homework 162.pdf

Sibling IQ Scores (Raw Data, Software Required):
There have been numerous studies involving the correlation and differences in IQ’s among siblings.Here we consider a small example of such a study. We will test the claim that, on average, oldersiblings have a higher IQ than their younger sibling.
The results are depicted for a sample of 10 siblings in the table below. Test the claim at the 0.05 significance level. You may assume the sample of differences comes from a normally distributed population.
You should be able copy and paste the data directly into your software program.
Pair ID          Older Sibling IQ (x)          Younger Sibling IQ(y)
1                                    82                                       80
2                                   85                                       88
3                                   89                                       85
4                                   90                                       90
5                                   97                                       93
6                                   102                                     100
7                                   103                                     103
8                                  108                                     107
9                                  112                                      106
10                                119                                      111
(a) The claim is that the mean difference (xy) is positive (μd> 0). What type of test is this?
(b) What is the test statistic?Round your answer to 2 decimal places.
(c) What is the P-value of the test statistic? Round to 4 decimal places.
(d) What is the conclusion regarding the null hypothesis?
(e) Choose the appropriate concluding statement.

MATH 180 MATH180 MATH/180 Week 10_ Chapter 9 Homework 162.pdf

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