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1.Given a level of confidence...

1.Given a level of confidence of 95% and a population standard deviation of 13, answer the following:

(A) What other information is necessary to find the sample size (n)?

(B) Find the Maximum Error of Estimate (E) if n = 82. Show all work.

2. A sample of 142 golfers showed that their average score on a particular golf course was 90.46 with a standard deviation of 3.84.

Answer each of the following (show all work

and state the final answer to at least two decimal places.):

(A) Find the 95% confidence interval of the mean score for all 142 golfers.

(B) Find the 95% confidence interval of the mean score for all golfers if this is a sample of 120 golfers instead of a sample of 142.

(C) Which confidence interval is larger and why

3.The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.93 inches and a standard deviation of 0.59 inches. Show all work.

(A) What percentage of the grapefruits in this orchard is larger than 5.88 inches?

(B) A random sample of 100 grapefruits is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 5.88 inches?

(A) What other information is necessary to find the sample size (n)?

(B) Find the Maximum Error of Estimate (E) if n = 82. Show all work.

2. A sample of 142 golfers showed that their average score on a particular golf course was 90.46 with a standard deviation of 3.84.

Answer each of the following (show all work

and state the final answer to at least two decimal places.):

(A) Find the 95% confidence interval of the mean score for all 142 golfers.

(B) Find the 95% confidence interval of the mean score for all golfers if this is a sample of 120 golfers instead of a sample of 142.

(C) Which confidence interval is larger and why

3.The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.93 inches and a standard deviation of 0.59 inches. Show all work.

(A) What percentage of the grapefruits in this orchard is larger than 5.88 inches?

(B) A random sample of 100 grapefruits is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 5.88 inches?

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