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1 . A study of 5,000 American women was taken to determine the mean number of...

1 . A study of 5,000 American women was taken to determine the mean number of children per household. Samples of 100 were taken by state. The average American household, as reported by women, contains 2.1 children with a standard deviation of 1.87. What would be the mean of the sampling distribution of the sample means? (If rounding is necessary, round to four decimal places).

2 . A study of 5,000 American women was taken to determine the mean number of children per household. Samples of 100 were taken by state. The average American household, as reported by women, contains 2.1 children with a standard deviation of 1.87. What would be the standard error of the sampling distribution of the sample means? (If rounding is necessary, round to four decimal places).

3 . A study of 5,000 American women was taken to determine the mean number of children per household. Samples of 100 were taken by state. The average American household, as reported by women, contains 2.1 children with a standard deviation of 1.87. What is the probability that South Carolina reports having an average of 2.2 or more children?

4 . A company that makes light bulbs claims that its bulbs have an average life of 750 hours with a standard deviation of 20 hours. Random samples of 64 light bulbs are taken. Is it safe to assume that the sampling distribution is approximately normal?  Explain.

5 . A company that makes light bulbs claims that its bulbs have an average life of 750 hours with a standard deviation of 20 hours. Random samples of 64 light bulbs are taken. Find the probability that the light bulbs will last between 745 and 755 hours. (If rounding is necessary, round to four decimal places)

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