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what symbol(s) represents the Maximum...

1. In the formula for the Confidence Interval for the Mean, what symbol(s) represents the Maximum Error of Estimate?

2. If a population has a standard deviation σ of 18.2 units, what is the standard error of the mean if samples of size 25 are selected? Show all work.

3.Consider a population with mu-r-dash= 53.1 and sigma = 4.43.

(A) Calculate the z-score for xbar = 49.8 from a sample of size 11.

(B) Could this z-score be used in calculating probabilities using Table 3 in Appendix B of the text? Why or why not?

4.The diameters of apples in a certain orchard are normally distributed with a mean of 4.77 inches and a standard deviation of 0.43 inches. Show all work.

(A) What percentage of the apples in this orchard is larger than 4.71 inches?

(B) A random sample of 100 apples is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 4.71 inches?

6. A researcher is interested in estimating the noise levels in decibels at area urban hospitals. She wants to be 95% confident that her estimate is correct. If the standard deviation is 5.35, how large a sample is needed to get the desired information to be accurate within 0.64 decibels? Show all work.

7. Given a level of confidence of 95% and a population standard deviation of 14, 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 = 78. Show all work.

3. A sample of 134 golfers showed that their average score on a particular golf course was 93.23 with a standard deviation of 6.25.

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 134 golfers.

(B) Find the 98% confidence interval of the mean score for all golfers if this is a sample of 110 golfers instead of a sample of 134.

(C) Which confidence interval is larger and why?

Assume that the population of heights of female college students is approximately normally distributed with mean m of 64.43 inches and standard deviation s of 4.61 inches. A random sample of 89 heights is obtained. Show all work.

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

(B) Find P(xbar >65.25)

2. If a population has a standard deviation σ of 18.2 units, what is the standard error of the mean if samples of size 25 are selected? Show all work.

3.Consider a population with mu-r-dash= 53.1 and sigma = 4.43.

(A) Calculate the z-score for xbar = 49.8 from a sample of size 11.

(B) Could this z-score be used in calculating probabilities using Table 3 in Appendix B of the text? Why or why not?

4.The diameters of apples in a certain orchard are normally distributed with a mean of 4.77 inches and a standard deviation of 0.43 inches. Show all work.

(A) What percentage of the apples in this orchard is larger than 4.71 inches?

(B) A random sample of 100 apples is gathered and the mean diameter is calculated. What is the probability that the sample mean is greater than 4.71 inches?

6. A researcher is interested in estimating the noise levels in decibels at area urban hospitals. She wants to be 95% confident that her estimate is correct. If the standard deviation is 5.35, how large a sample is needed to get the desired information to be accurate within 0.64 decibels? Show all work.

7. Given a level of confidence of 95% and a population standard deviation of 14, 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 = 78. Show all work.

3. A sample of 134 golfers showed that their average score on a particular golf course was 93.23 with a standard deviation of 6.25.

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 134 golfers.

(B) Find the 98% confidence interval of the mean score for all golfers if this is a sample of 110 golfers instead of a sample of 134.

(C) Which confidence interval is larger and why?

Assume that the population of heights of female college students is approximately normally distributed with mean m of 64.43 inches and standard deviation s of 4.61 inches. A random sample of 89 heights is obtained. Show all work.

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

(B) Find P(xbar >65.25)

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