Question

# A simple random sample of size n is drawn from a population that is normally distributed....

A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x overbar​, is found to be 108​, and the sample standard​ deviation, s, is found to be 10.

1. A) Construct a 96​% confidence interval about μ if the sample​ size, n, is 24.

1. B) Construct a 96​% confidence interval about μ if the sample​ size, n, is 20.

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

A. As the sample size increases​, the margin of error stays the same.

B. As the sample size increases​, the margin of error decreases.

C. As the sample size increases​, the margin of error increases.

1. C) Construct a 90​% confidence interval about μ if the sample​ size, n, is 24.

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

A. As the level of confidence increases​, the size of the interval stays the same.

B. As the level of confidence increases​, the size of the interval decreases.

C. As the level of confidence increases​, the size of the interval increases.

1. D) Could we have computed the confidence intervals in parts​ (a)-(c) if the population had not been normally​ distributed?

For further queries, please comment Below.

Thank you.

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