### MATH 1308 Q11

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1. A utility company serves 50,000 households. As part of a survey of customer attitudes, they take a simple random sample of 800 of these households. The average number of television sets in the sample households turns out to be 2.56, and the SD is 0.73. What is the observed value for the average number of television sets per household?

2. A utility company serves 50,000 households. As part of a survey of customer attitudes, they take a simple random sample of 800 of these households. The average number of television sets in the sample households turns out to be 2.56, and the SD is 0.73. Find the standard error for the sample average.

3. A utility company serves 50,000 households. As part of a survey of customer attitudes, they take a simple random sample of 800 of these households. The average number of television sets in the sample households turns out to be 2.56, and the SD is 0.73. Find a 95% confidence interval for the average number of television sets per household.

4. A utility company serves 50,000 households. As part of a survey of customer attitudes, they take a simple random sample of 800 of these households. The average number of television sets in the sample households turns out to be 2.56, and the SD is 0.73. Find a 90% confidence interval for the average number of television sets per household.

5. The probability histogram for the average of the draws will follow the normal curve, even if the contents of the box do not, as long as the histogram is put into standard units, and the number of draws is large.

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