Gifted Children.Researchers collected a simple random sam- ple of 36 children who had been identified as gifted in a large city. The following histograms show the distributions of the IQ scores of mothers and fathers of these children. Also provided are some sample statistics. Are the IQs of mothers and the IQs of fathers in this dataset related?Explain. Conduct a hypothesis test to evaluate if the scores are equal on average. Make sure to clearly state your hypotheses, check the relevant conditions, and state your conclusion in the context of t

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Gifted Children.Researchers collected a simple random sam- ple of 36 children who had been identified as gifted in a large city. The following histograms show the distributions of the IQ scores of mothers and fathers of these children. Also provided are some sample statistics.

  1. Are the IQs of mothers and the IQs of fathers in this dataset related?Explain.

  2. Conduct a hypothesis test to evaluate if the scores are equal on average. Make sure to clearly state your hypotheses, check the relevant conditions, and state your conclusion in the context of the data.

12
12
12
8
8
4
4
4
100
120
140
110
120
130
-20
20
Mother's IQ
Father's IQ
Diff.
Mother
Father
Diff.
Mean
118.2
114.8
3.4
SD
6.5
3.5
7.5
36
36
36
Transcribed Image Text:12 12 12 8 8 4 4 4 100 120 140 110 120 130 -20 20 Mother's IQ Father's IQ Diff. Mother Father Diff. Mean 118.2 114.8 3.4 SD 6.5 3.5 7.5 36 36 36
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