Question 1 Consider the population of history scores for a class comprising 5 students A, B, C, D and, E. The marks are as follows: Student A B C D E Score 70 78 80 80 95 (a) List the 10 possible samples of 3 from the 5 students, A, B, C, D and E. (b) Find the sample mean for each of the 10 samples. (c) Find the mean of the 10 sample means. Question 2 Assume that a human pregnancy has a population mean of 280 days and a population standard deviation of 8 days. Determine the following probabilities: (a) The probability that one randomly chosen pregnant woman exceeds 284 days before giving birth. (b) We take a random sample of n = 5 pregnant women. Find the probability that the mean number of days for this group of 5 women exceeds 284 days. (c) Compare your answers for parts a) and b). Why are they different? (d) What was the value of the standard error for part a)? For part (b)? Why are these different?
Question 1
Consider the population of history scores for a class comprising 5 students A, B, C, D and, E. The marks are as follows:
Student A B C D E
Score 70 78 80 80 95
(a) List the 10 possible samples of 3 from the 5 students, A, B, C, D and E.
(b) Find the sample mean for each of the 10 samples.
(c) Find the mean of the 10 sample means.
Question 2
Assume that a human pregnancy has a population mean of 280 days and a population standard deviation of 8 days. Determine the following probabilities:
(a) The probability that one randomly chosen pregnant woman exceeds 284 days before giving birth.
(b) We take a random sample of n = 5 pregnant women. Find the probability that the mean number of days for this group of 5 women exceeds 284 days.
(c) Compare your answers for parts a) and b). Why are they different?
(d) What was the value of the standard error for part a)? For part (b)? Why are these different?
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