3. This question requires you to work z score problems with the sampling distribution of means. For each problem, begin by computing the standard error of the mean, using the formula: Then make two diagrams of the problem-one in terms of the actual scores, and one in terms of the z scores; mark the area under investigation on each curve. Show calculation of the appropriate z scores. List the line(s) from the z score table that you use to answer the question. Provide a verbal answer to each question. a. Assume you have a sampling distribution of means of samples of size n=16 from a population distribution in which u = 46 and o = 36. What proportion of sample means fall above M = 48? b. Assume you have a sampling distribution of means of samples of size n=25 from a population distribution in which u = 100 and o = 15. What proportion of sample means fall above M = 96? c. Assume you have a sampling distribution of means of samples of size n=49 from a population distribution in which u = 44 and o = 14. What proportion of sample means fall below M = 47?

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8. This question requires you to work z score problems with the sampling distribution of means.
For each problem, begin by computing the standard error of the mean, using the formula:
OM
Then make two diagrams of the problem-one in terms of the actual scores, and one in terms
of the z scores; mark the area under investigation on each curve. Show calculation of the
appropriate z scores. List the line(s) from the z score table that you use to answer the
question. Provide a verbal answer to each question.
a. Assume you have a sampling distribution of means of samples of size n=16 from a
population distribution in which u = 46 and o = 36. What proportion of sample means
fall above M = 48?
b. Assume you have a sampling distribution of means of samples of size n=25 from a
population distribution in which u = 100 and o = 15. What proportion of sample means
fall above M = 96?
c. Assume you have a sampling distribution of means of samples of size n=49 from a
population distribution in which u = 44 and o = 14. What proportion of sample means
fall below M = 47?
Transcribed Image Text:8. This question requires you to work z score problems with the sampling distribution of means. For each problem, begin by computing the standard error of the mean, using the formula: OM Then make two diagrams of the problem-one in terms of the actual scores, and one in terms of the z scores; mark the area under investigation on each curve. Show calculation of the appropriate z scores. List the line(s) from the z score table that you use to answer the question. Provide a verbal answer to each question. a. Assume you have a sampling distribution of means of samples of size n=16 from a population distribution in which u = 46 and o = 36. What proportion of sample means fall above M = 48? b. Assume you have a sampling distribution of means of samples of size n=25 from a population distribution in which u = 100 and o = 15. What proportion of sample means fall above M = 96? c. Assume you have a sampling distribution of means of samples of size n=49 from a population distribution in which u = 44 and o = 14. What proportion of sample means fall below M = 47?
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