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If smart drugs worked, would you expect the average IQ of 16 students to increase (compared...



If smart drugs worked, would you expect the average IQ of 16 students to increase (compared to 100)? Would you expect the IQ standard deviation of 16 students to increase (compared to 15) Please rewrite SamplingDistributionofMean.R to report the 2.5 and 97.5 percentiles of the sample distribution formed by the sample mean. Note that the current maternal average is 100 (instead of 170 in the original file) and the number of samples is 16 (instead of 9 in the original file). Below are sixteen records collected by Mr. Zheng: 117, 103, 119, 122, 128, 112, 99, 119, 119, 129, 110, 116, 89, 95, 129, 119. Please calculate the average of this sample. From the second question, we know that if smart drugs are not effective, the sample average should be within the range expected by the second question (p-> q). From Question 3, we know that the average number of samples observed is outside the above range (~ q). What conclusion would you make?

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Answer #1

The average IQ of 16 students would increase as the margin of error would decrease compared to 100 students.

The IQ standard deviation of 16 students would decrease as the sample size increases from 15 to 16.

Average = (117+ 103+ 119+ 122+ 128+ 112+ 99+ 119+ 119+ 129+ 110+ 116+ 89+ 95+ 129+ 119)/16 = 114.0625

The sample average should be within 112.5875 and 115.5375.

If the sample average is outside the range, it means that this sample does not contain the true population mean.

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