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Given a level of confidence...

Given a level of confidence of 95% and a population standard deviation of 7, 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 = 60.

A sample of 83 golfers showed that their average score on a particular golf course was 84.81 with a standard deviation of 5.99.

Answer each of the following (show all work

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

(A) Find the 90% confidence interval of the mean score for all 83 golfers.

(B) Find the 90% confidence interval of the mean score for all golfers if this is a sample of 130 golfers instead of a sample of 83.

(C) Which confidence interval is larger and why?

4. Assume that the population of heights of male college students is approximately normally distributed with mean m of 70.63 inches and standard deviation s of 6.47 inches. A random sample of 88 heights is obtained. Show all work.

(A) Find the mean and standard error of the distribution

(B) Find p (symbol is an x with a line of top of it; not sure what this is called)>72.25

The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.08 inches and a standard deviation of 0.59 inches. Show all work.

(A) What percentage of the grapefruits in this orchard is larger than 5.17 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 5.17 inches?

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

(B) Find the Maximum Error of Estimate (E) if n = 60.

A sample of 83 golfers showed that their average score on a particular golf course was 84.81 with a standard deviation of 5.99.

Answer each of the following (show all work

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

(A) Find the 90% confidence interval of the mean score for all 83 golfers.

(B) Find the 90% confidence interval of the mean score for all golfers if this is a sample of 130 golfers instead of a sample of 83.

(C) Which confidence interval is larger and why?

4. Assume that the population of heights of male college students is approximately normally distributed with mean m of 70.63 inches and standard deviation s of 6.47 inches. A random sample of 88 heights is obtained. Show all work.

(A) Find the mean and standard error of the distribution

(B) Find p (symbol is an x with a line of top of it; not sure what this is called)>72.25

The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.08 inches and a standard deviation of 0.59 inches. Show all work.

(A) What percentage of the grapefruits in this orchard is larger than 5.17 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 5.17 inches?

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