stat test three review - 1. The mean monthly expense for...

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1. The mean monthly expense for entertainment per household was obtained from data collected by telephone interviews of 1000 randomly selected households, and the 95% confidence interval was computed as ($86.50, $161.50). (a) Does the sample mean fall within the interval? If so, find its value. (b) Does the population mean fall within the interval? If so, find its value. (c) What is the margin of error? (d) A magazine claims that, on average, households spend $120 per month on entertainment. Would we reject this claim? 2. In a poll conducted in May 2000, a news agency took a simple random sample of 1068 Americans and asked them the following question “Have you ever been on TV?” Of the 1068 Americans, 120 responded “Yes” and the rest answered “No.” (a) Calculate the point estimate for the proportion of Americans that answered “Yes” to this question. (b) Can a valid 92% confidence interval be constructed for p ?
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(c) Determine the standard error and margin of error for a 92% confidence interval for p . (d) Give the lower and upper limits for this 92% confidence interval. 3. A random sample of 60 eggs from an egg farm was selected and each egg was weighed. The calculated sample mean was 2.1 oz. and the sample standard deviation was 0.35 oz. A 90% confidence interval of the mean weight of eggs was constructed. (a) If a 95% confidence interval was constructed using the same sample, which confidence interval would be wider: the 90% C.I. or the 95% C.I.?
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(b) If a 90% confidence interval was constructed using a sample size of 100 eggs with the same sample mean of 2.1 oz, which 90% confidence interval would be narrower (this one or the n =60 one)? (c) If you took 500 samples of 60 eggs and created a 90% confidence interval for each sample, approximately how many of these 90% confidence intervals would contain the population mean? 4.
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This note was uploaded on 10/18/2011 for the course STAT 2000 taught by Professor Smith during the Spring '08 term at University of Georgia Athens.

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stat test three review - 1. The mean monthly expense for...

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