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To tie saiie group o Choose patients. Question 2 phy Researchers collected a sim

ID: 2932335 • Letter: T

Question

To tie saiie group o Choose patients. Question 2 phy Researchers collected a simple random sample of 36 children who had been identified as gifted in a large city and recorded the IQ scores of their mothers and fathers. Basic summary statistics of the parents' IQ scores are provided below. Not yet answered Points out of 1.00 Flag question Mother Father Difference Mean 118.2 114.8 3.4 7.5 36 SD 6.5 3.5 36 36 The researchers would like to evaluate if there is any difference in the IQ scores of the mothers and fathers of these children. What is the p-value for their hypothesis test? Use the t-distribution for calculating this p-value. Hint: This is one of the few p-values that you can get exactly from the t- distribution table.] Answer

Explanation / Answer

Ho: difference = 0
Ha: difference 0

Test statistic, t = (3.4 - 0)/(7.5/sqrt(36)) = 2.72

degree of freedom, df = 36-1 = 35

p-value = (1 - 0.9950)*2 = 0.01

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