Determining probability of examining sample mean weight

Reference no: EM1314124

100 observations are given below (5 rows of 20) signify the population of weights in pounds of women in a statistics class. You are to suppose that it is normally distributed.

Row 1: 123, 120, 121, 117, 117, 124, 109 124, 124, 124, 112, 119, 125, 124, 118, 129, 126, 112, 121, 120

Row 2: 124, 112, 121, 120, 117, 122, 122, 117, 117, 125, 125, 121, 131, 127, 116, 123, 130, 117, 120, 114

Row 3: 136, 122, 109, 121, 114, 114, 124, 117, 112, 117, 118, 117, 128, 130, 119, 117, 115, 115, 122, 119

Row 4: 119, 123, 118, 122, 116, 116, 121, 113, 119, 127, 117, 124, 118, 117, 127, 122, 122, 119, 114. 121

Row 5: 121, 122, 123, 124, 125, 126, 127, 128, 128, 129, 130, 131, 130, 129, 129, 126, 130, 133, 131, 132

You select Row 2 as the random sample from population. Let S sample mean of 20 weights from Row 2.

a) Determine the probability of examining a sample mean weight from any 20 women chosen from this population that is less than S (your sample mean) by using population standard deviation ?

b) Use the population standard deviation along with your sample mean (S) and find a 93% confidence interval for the population mean. Is the true population mean contained in this interval?

c) Suppose that data above is not complete population. Utilize your sample data (S) to determine a 90% confidence interval for population mean. (Utilize sample standard deviation)

d) Utilize population standard deviation and find out how many woman you would require to sample to make sure that you are 90% confident that sample mean is within 3 pounds of population mean.

Reference no: EM1314124

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