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A simple random sample of size n is drawn. The sample mean, x is found to be 19.4and the sample standard deviation, s, is found

A simple random sample of size n is drawn. The sample mean, x is found to be 19.4and the sample standard deviation, s, is found to be 4.9.

a) Construct a 95% confidence interval about if the samplesize, n, is 34.

Lower bound ___ Upper bound:___

(b) Construct a 95% confidence interval about u if the samplesize, n, is 61.

Lower bound ___ Upper bound:___

How does increasing the sample size affect the margin of error, E?

A.The margin of error does not change.

B.The margin of error increases.

C.The margin of error decreases.

(c) Construct a 99% confidence interval about if the samplesize, n, is 34.

Lower bound ___ Upper bound:___

Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of the margin of error, E?

A.The margin of error decreases.

B.The margin of error does not change.

C.The margin of error increases.

If the sample size is 12, what conditions must be satisfied to compute the confidence interval?

A.The sample data must come from a population that is normally distributed with no outliers.

B.The sample must come from a population that is normally distributed and the sample size must be large.

C.The sample size must be large and the sample should not have any outliers.

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