Question: A simple random sample of size n is drawn. The samplemean, overbar x, is found to be 19.4 and the sample standarddeviation, s, is found

A simple random sample of size n is drawn. The samplemean, overbar x, is found to be 19.4 and the sample standarddeviation, s, is found to be 4.1.

A)Construct a 95% confidence interval about if the samplesize, n, is 35.

Lower bound= Upper bound=

B)Construct a 95% confidence interval about if the samplesize, n, is 51.

Lower bound= Upper bound=

How does increasing the sample size affect the margin oferror, E?

a)The margin of error decreases.

b)The margin of error increases.

c)The margin of error does not change

C)Construct a 99% confidence interval about if the samplesize, n, is 35.

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 oferror, E?

a)The margin of error decreases.

b)The margin of error increases.

c)The margin of error does not change

D)If the sample size is 13, what conditions must be satisfied to compute the confidenceinterval?

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

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

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

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