1. Loosely speaking, what does the Central Limit Theorem say? a. The area under
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1. Loosely speaking, what does the Central Limit Theorem say? a. The area under a normal density curve is one. b. Measures of central tendency should always be computed with and without outliers. c. For large sample sizes, the sampling distribution of Yis approximately normal. d. Confidence intervals have zero margin of error for large sample sizes. 2. In a simple random sample (SRS) of n 00 Columbia residents, 38 of them said that they had attended a USC football game this year. Which value is the closest to the margin of error for a a 95 percent confidence interval for the proportion of Columbia residents who have attended a game this year? a. 0.01 b. 0.10 c. 0.38 d. 0.62 3. Using data from the n 100 Columbia residents in Question 7 a 99 percent confidence interval for the mean age of Columbia residents was computed to be (29:8; 38:5). What is the interpretation attached to this interval? a. We are 99 percent confident that the mean age of Columbia residents is between 29.8 and 38.5 b. Ninety-nine percent of the residents in our sample had ages between 29.8 and 38.5 c. We are 99 percent confident that the mean age of the residents in our sample is between 29.8 and 38.5. d. All of the above are valid interpretations. 4. Using data from the 100 Columbia residents in Question 7 a 99 percent confidence interval for the mean age of Columbia residents was computed to be (29:8; 38:5. What is one way to decrease the length of the confidence interval? a. Increase the sample size b. Use a smaller confidence level c. Both a) and (b) are correct are correct Neither (a) nor 5. Rejection of the null hypothesis is a conclusive proof that the alternative hypothesis is a. True b. False c. NeitherExplanation / Answer
Answer is C. Please find my comments here:
1. The Central Limit Theorm says that:
a. This is TRUE for any distribution, CLT doesn't say this.
b. No. CLT doesnt say anything about outliers
c. RIGHT ANSWER. This is TRUE. CLT approximates sampling dist to normal.
d. CLT doesn't comment about zero margin
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