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1. Consider a population with µ=65.7 and σ=5.52 . (A) Calculate the z-score for xbar = 63.1 from a sample of size . Why or why not?

2. Given a level of confidence of 95% and a population standard deviation of 6, 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 = 84. Show all work.

3. 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 female college students is approximately normally distributed with mean m of 68.66 inches and standard deviation s of 5.13 inches. A random sample of 67 heights is obtained. Show all work. (A) Find the mean and standard error of the distribution (B) Find P(xbar > 69.75) 5. The diameters of grapefruits in a certain orchard are normally distributed with

a mean of 5.97 inches and a standard deviation of 0.69 inches. Show all work. (A) What percentage of the grapefruits in this orchard is larger than 6.01 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 6.01 inches?

6. A researcher is interested in estimating the noise levels in decibels at area urb

an hospitals. She wants to be 90% confident that her estimate is correct. If the standard deviation is 5.31, how large a sample is needed to get the desired information to be accurate within 0.63 decibels? Show all work.

1. Consider a population with µ=65.7 and σ=5.52 . (A) Calculate the z-score for xbar = 63.1 from a sample of size . Why or why not?

2. Given a level of confidence of 95% and a population standard deviation of 6, 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 = 84. Show all work.

3. 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 female college students is approximately normally distributed with mean m of 68.66 inches and standard deviation s of 5.13 inches. A random sample of 67 heights is obtained. Show all work. (A) Find the mean and standard error of the distribution (B) Find P(xbar > 69.75) 5. The diameters of grapefruits in a certain orchard are normally distributed with

a mean of 5.97 inches and a standard deviation of 0.69 inches. Show all work. (A) What percentage of the grapefruits in this orchard is larger than 6.01 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 6.01 inches?

6. A researcher is interested in estimating the noise levels in decibels at area urb

an hospitals. She wants to be 90% confident that her estimate is correct. If the standard deviation is 5.31, how large a sample is needed to get the desired information to be accurate within 0.63 decibels? Show all work.

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