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1. A sample of 147 golfers...

1.

A sample of 147 golfers showed that their average score on a particular golf course was 91.85 with a standard deviation of 3.29.

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 147 golfers.

(B) Find the 90% confidence interval of the mean score for all golfers if this is a sample of 125 golfers instead of a sample of 147.

(C) Which confidence interval is larger and why?

2.

The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.72 inches and a standard deviation of 0.57 inches. Show all work.

(A) What percentage of the grapefruits in this orchard is larger than 5.66 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 5.66 inches?

A sample of 147 golfers showed that their average score on a particular golf course was 91.85 with a standard deviation of 3.29.

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 147 golfers.

(B) Find the 90% confidence interval of the mean score for all golfers if this is a sample of 125 golfers instead of a sample of 147.

(C) Which confidence interval is larger and why?

2.

The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.72 inches and a standard deviation of 0.57 inches. Show all work.

(A) What percentage of the grapefruits in this orchard is larger than 5.66 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 5.66 inches?

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