Question: QUESTION 2 [as] 1. The following observations constitute a simple random sample form the population provided in the table below: 58 64 54 68 64

QUESTION 2 [as] 1. The following observations constitute a simple random sample form the population provided in the table below: 58 64 54 68 64 60 53 81 53 55 52 42 66 42 63 42. Use this data set to estimate: a. 07) and var7), assuming the population variance is known. (4) b. var(l7). assuming the population variance is unknown. (2) c. A 95% condence interval for the mean under conditions in b and c. (4) 31 75 55 47 47 66 62 79 52 62 58 53 58 77 67 79 73 55 63 S4 44 72 58 64 70 64 64 60 51 66 7o 53 60 64 54 56 47 34 77 62 70 53 58 65 65 43 42 74 62 62 55 63 37 57 54 81 51 63 68 50 2. 0n systematic sampling procedures. a. How many possible systematic samples of size 16 are available? (2) b. What is the probability drawn anyone these possible samples (2) 0. List the means. standard deviation and the standard errors of each of the samples. (20) d. Construct a 90% confidence interval for the population mean based on one of the samples. Interpret. (4)

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