IQ scores are normally distributed with a mean of 100 and a standard deviation of 17 .

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IQ scores are normally distributed with a mean of 100 and a standard deviation of 17. Assume that many samples of size n are taken from a large population of people and the mean IQ score is computed for each sample.a. If the sample size is n=49 find the mean and standard deviation of the distribution of sample means. Round to the nearest tenth.b. If the sample size is n=121​, find the mean and standard deviation of the distribution of sample means. Round to the nearest tenth.c. Why is the standard deviation in part a different from the standard deviation in part​ b? Choose the correct answer below.A.With smaller sample sizes​ (as in part​ a), the means tend to be further​ apart, so they have more​ variation, which results in a smaller standard deviation.B.With larger sample sizes​ (as in part​ b), the means tend to be closer​ together, so they have less​ variation, which results in a smaller standard deviation.C.With larger sample sizes​ (as in part​ b), the means tend to be further​ apart, so they have more​ variation, which results in a bigger standard deviation.D.With smaller sample sizes​ (as in part​ a), the means tend to be closer​ together, so they have less​ variation, which results in a smaller standard deviation.

Question

IQ scores are normally distributed with a mean of 100 and a standard deviation of 17 .

  • Written in: 17-Oct-2019
  • Paper ID: 5914267
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DATE ANSWERED

Oct 17, 2019

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