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1) Given a level of...

1) 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. Show all work.

2) A sample of 84 golfers showed that their average score on a particular golf course was 87.79 with a standard deviation of 4.52.

Answer each of the following (show all work

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

(A) Find the 98% confidence interval of the mean score for all 84 golfers.

(B) Find the 98% confidence interval of the mean score for all golfers if this is a sample of 130 golfers instead of a sample of 84.

(C) Which confidence interval is smaller and why?

3) Assume that the population of heights of male college students is approximately normally distributed with mean m of 68.14 inches and standard deviation s of 5.38 inches. A random sample of 66 heights is obtained. Show all work.

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

(B) Find P (x > 67.25)

4) The diameters of peaches in a certain orchard are normally distributed with a mean of 4.01 inches and a standard deviation of 0.44 inches. Show all work.

(A) What percentage of the peaches in this orchard is larger than 3.94 inches?

(B) A random sample of 100 peaches is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 3.94 inches?

5) A researcher is interested in estimating the noise levels in decibels at area urban hospitals. She wants to be 98% confident that her estimate is correct. If the standard deviation is 4.74, how large a sample is needed to get the desired information to be accurate within 0.69 decibels? Show all work.

6) Consider a population with u = 67.1 and o = 5.76

(A) Calculate the z=score for x = 65.7 from a sample of size 40.

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

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

2) A sample of 84 golfers showed that their average score on a particular golf course was 87.79 with a standard deviation of 4.52.

Answer each of the following (show all work

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

(A) Find the 98% confidence interval of the mean score for all 84 golfers.

(B) Find the 98% confidence interval of the mean score for all golfers if this is a sample of 130 golfers instead of a sample of 84.

(C) Which confidence interval is smaller and why?

3) Assume that the population of heights of male college students is approximately normally distributed with mean m of 68.14 inches and standard deviation s of 5.38 inches. A random sample of 66 heights is obtained. Show all work.

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

(B) Find P (x > 67.25)

4) The diameters of peaches in a certain orchard are normally distributed with a mean of 4.01 inches and a standard deviation of 0.44 inches. Show all work.

(A) What percentage of the peaches in this orchard is larger than 3.94 inches?

(B) A random sample of 100 peaches is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 3.94 inches?

5) A researcher is interested in estimating the noise levels in decibels at area urban hospitals. She wants to be 98% confident that her estimate is correct. If the standard deviation is 4.74, how large a sample is needed to get the desired information to be accurate within 0.69 decibels? Show all work.

6) Consider a population with u = 67.1 and o = 5.76

(A) Calculate the z=score for x = 65.7 from a sample of size 40.

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