Calculus and Above

Calculus Questions? Ask a Mathematician for Answers ASAP

Connect one-on-one with {0} who will answer your question

Pg.431 1)The mean of the sampling...

Pg.431

1)The mean of the sampling distribution of means is equal to the mean of the population. T-F, and why or why not?

2) In the formula for the Confidence Interval for the Mean, if the Confidence Coefficient, z(α/2) = 1.65, what is the Confidence Level?

Pg. 432

1. Consider a population with µ =67.1 and σ=5.76 .

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

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

2.Given a level of confidence of 95% and a population standard deviation of 8, 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 = 59.

3. A sample of 136 golfers showed that their average score on a particular golf course was 82.77 with a standard deviation of 4.54.

Answer each of the following (show all work

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

(A) Find the 99% confidence interval of the mean score for all 136 golfers.

(B) Find the 99% confidence interval of the mean score for all golfers if this is a sample of 90 golfers instead of a sample of 136.

(C) Which confidence interval is smaller and why?

4. Assume that the population of heights of female college students is approximately normally distributed with mean µ of 67.26 inches and standard deviation σ of 5.96 inches. A random sample of 78 heights is obtained. Show all work.

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

(B) Find P( x̃ > 67.50)

5. The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.82 inches and a standard deviation of 0.61 inches. Show all work.

(A) What percentage of the grapefruits in this orchard is larger than 5.78 inches?

(B) A random sample of 100 grapefruits is gathered and the mean diameter is calculated. What is the probability that the sample is greater than 5.78 inches?

6. A researcher is interested in estimating the noise levels in decibels at area urban hospitals. She wants to be 99% confident that her estimate is correct. If the standard deviation is 4.11, how large a sample is needed to get the desired information to be accurate within 0.56 decibels?

Pg.432

1. Consider a normal population with µ = 25 and σ = 7.0.

(A) Calculate the standard score for a value x of 24.

(B) Calculate the standard score for a randomly selected sample of 45 with = 24.

(C) Explain why the standard scores of 24 are different between A and B above.

2. 2. Assume that the mean SAT score in Mathematics for 11th graders across the nation is 500, and that the standard deviation is 100 points. Find the probability that the mean SAT score for a randomly selected group of 150 11th graders is between 513 and 487.

3. Assume that a sample is drawn and z(α/2) = 1.96 and σ = 30. Answer the following questions:

(A)If the Maximum Error of Estimate is 0.02 for this sample, what would be the sample size?

(B)Given that the sample Size is 400 with this same z(α/2) and σ, what would be the Maximum Error of Estimate?

(C)What happens to the Maximum Error of Estimate as the sample size gets smaller?

(D)What effect does the answer to C above have to the size of the confidence interval?

4. By measuring the amount of time it takes a component of a product to move from one workstation to the next, an engineer has estimated that the standard deviation is 3.14 seconds.

Answer each of the following (show all work):

(A) How many measurements should be made in order to be 98% certain that the maximum error of estimation will not exceed 1.0 seconds?

(B) What sample size is required for a maximum error of 1.5 seconds?

5. A 99% confidence interval estimate for a population mean was computed to be (44.1, 62.9). Determine the mean of the sample, which was used to determine the interval estimate

6. A study was conducted to estimate the mean amount spent on birthday gifts for a typical family having two children. A sample of 190 was taken, and the mean amount spent was $234.01. Assuming a standard deviation equal to $35.51, find the 98% confidence interval for µ, the mean for all such families

7. A confidence interval estimate for the population mean is given to be (49.29, 58.07). If the standard deviation is 16.306 and the sample size is 53, answer each of the following (show all work):

(A) Determine the maximum error of the estimate, E.

(B) Determine the confidence level used for the given confidence interval.

1)The mean of the sampling distribution of means is equal to the mean of the population. T-F, and why or why not?

2) In the formula for the Confidence Interval for the Mean, if the Confidence Coefficient, z(α/2) = 1.65, what is the Confidence Level?

Pg. 432

1. Consider a population with µ =67.1 and σ=5.76 .

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

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

2.Given a level of confidence of 95% and a population standard deviation of 8, 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 = 59.

3. A sample of 136 golfers showed that their average score on a particular golf course was 82.77 with a standard deviation of 4.54.

Answer each of the following (show all work

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

(A) Find the 99% confidence interval of the mean score for all 136 golfers.

(B) Find the 99% confidence interval of the mean score for all golfers if this is a sample of 90 golfers instead of a sample of 136.

(C) Which confidence interval is smaller and why?

4. Assume that the population of heights of female college students is approximately normally distributed with mean µ of 67.26 inches and standard deviation σ of 5.96 inches. A random sample of 78 heights is obtained. Show all work.

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

(B) Find P( x̃ > 67.50)

5. The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.82 inches and a standard deviation of 0.61 inches. Show all work.

(A) What percentage of the grapefruits in this orchard is larger than 5.78 inches?

(B) A random sample of 100 grapefruits is gathered and the mean diameter is calculated. What is the probability that the sample is greater than 5.78 inches?

6. A researcher is interested in estimating the noise levels in decibels at area urban hospitals. She wants to be 99% confident that her estimate is correct. If the standard deviation is 4.11, how large a sample is needed to get the desired information to be accurate within 0.56 decibels?

Pg.432

1. Consider a normal population with µ = 25 and σ = 7.0.

(A) Calculate the standard score for a value x of 24.

(B) Calculate the standard score for a randomly selected sample of 45 with = 24.

(C) Explain why the standard scores of 24 are different between A and B above.

2. 2. Assume that the mean SAT score in Mathematics for 11th graders across the nation is 500, and that the standard deviation is 100 points. Find the probability that the mean SAT score for a randomly selected group of 150 11th graders is between 513 and 487.

3. Assume that a sample is drawn and z(α/2) = 1.96 and σ = 30. Answer the following questions:

(A)If the Maximum Error of Estimate is 0.02 for this sample, what would be the sample size?

(B)Given that the sample Size is 400 with this same z(α/2) and σ, what would be the Maximum Error of Estimate?

(C)What happens to the Maximum Error of Estimate as the sample size gets smaller?

(D)What effect does the answer to C above have to the size of the confidence interval?

4. By measuring the amount of time it takes a component of a product to move from one workstation to the next, an engineer has estimated that the standard deviation is 3.14 seconds.

Answer each of the following (show all work):

(A) How many measurements should be made in order to be 98% certain that the maximum error of estimation will not exceed 1.0 seconds?

(B) What sample size is required for a maximum error of 1.5 seconds?

5. A 99% confidence interval estimate for a population mean was computed to be (44.1, 62.9). Determine the mean of the sample, which was used to determine the interval estimate

6. A study was conducted to estimate the mean amount spent on birthday gifts for a typical family having two children. A sample of 190 was taken, and the mean amount spent was $234.01. Assuming a standard deviation equal to $35.51, find the 98% confidence interval for µ, the mean for all such families

7. A confidence interval estimate for the population mean is given to be (49.29, 58.07). If the standard deviation is 16.306 and the sample size is 53, answer each of the following (show all work):

(A) Determine the maximum error of the estimate, E.

(B) Determine the confidence level used for the given confidence interval.

Show More

Show Less

Was this answer helpful?

Describe your issueThe assistant will guide you

Chat 1:1 with a tutorLicensed Experts are available 24/7

100% satisfaction guaranteeGet all the answers you need

Related Calculus and Above Questions

You want to obtain a sample to estimate a population mean.

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ = 55.2 . You would like to be 99% confident that… read more

5. Of 84 adults selected randomly from one town, 62 have health

5. Of 84 adults selected randomly from one town, 62 have health insurance. Find a 90% confidence interval for the true proportion of all adults in the town who have health insurance. A. 0.626

… read more

You answered similar questions previously but the data has

You answered similar questions previously but the data has slighly changed. Can you please provide details as to how you worked the problem? Thx #1 Find the sample size needed to estimate the percenta… read more

1. In a week before and the week after a holiday, there were

1. In a week before and the week after a holiday, there were 10,000 total deaths, and 4952 of them occurred in the week before the holiday. a. Construct a 95% confidence interval estimate of the propo… read more

Consider a normal population with µ = 25 and σ = 8.0. (A)

Consider a normal population with µ = 25 and σ = 8.0. (A) Calculate the standard score for a value x of 22. (B) Calculate the standard score for a randomly selected sample of 30 with = 22. (C) Explain… read more

1) Consider a normal population with µ = 25 and σ = 8.0. (A)

1) Consider a normal population with µ = 25 and σ = 8.0. (A) Calculate the standard score for a value x of 22. (B) Calculate the standard score for a randomly selected sample of 30 with = 22. (C) Expl… read more

1) Given a level of confidence of 95% and a population standard

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… read more

For questions needing a probability table, please use the table

For questions needing a probability table, please use the table with the value that starts 0.5000 not software or another table. I am having trouble with these last 7 questions. Please show your work … read more

1. Consider a population with mean μ = 77.6 and(Standard Deviation)

1. Consider a population with mean μ = 77.6 and(Standard Deviation) σ = 5.63. (A) Calculate the z-score for x̅ = 76.1 from a sample of size 52. (B) Could this z-score be used in calculating probabilit… read more

I. a. What percentage of the area of the standard normal distribution

I. a. What percentage of the area of the standard normal distribution is between z = -2.00 and z = +2.00? How do you know this? b. Find the following: P(z > 2.43) II. 1. A set of 50 data values has… read more

3. Assume that a sample is drawn and z(α/2) = 1.96 and σ =

3. Assume that a sample is drawn and z(α/2) = 1.96 and σ = 25. Answer the following questions: (A) If the Maximum Error of Estimate is 0.04 for this sample, what would be the sample size? (B) Given th… read more

Hello Greg, I have the following for today. I was careful

Hello Greg, I have the following for today. I was careful to copy the questions in their entirety this time. These need to be done by midnight, like usual. Thanks Greg:) 1. Consider a normal populatio… read more

Hello Greg, I have more work if you want. 1. Consider a

Hello Greg, I have more work if you want. 1. Consider a population with and (A) Calculate the z-score for from a sample of size 14. (B) Could this z-score be used in calculating probabilities using Ta… read more

A 95% confidence interval of 15.9 months to 50.5 months has

A 95% confidence interval of 15.9 months to 50.5 months has been found for the mean duration of imprisonment,μ, of political prisoners of a certain country with chronic PTSD. a) Detemine the margin of… read more

Assume that a sample is drawn and z(α/2) = 1.96 and σ = 25.

Assume that a sample is drawn and z(α/2) = 1.96 and σ = 25. Answer the following questions: (A) If the Maximum Error of Estimate is 0.02 for this sample, what would be the sample size? (B) Given that … read more

1.Assume that the weight loss for the first month of a diet

1.Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities, so that there is a uniform distribution… read more

3. Assume that a sample is drawn and z(α/2) = 1.96 and σ =

3. Assume that a sample is drawn and z(α/2) = 1.96 and σ = 25. Answer the following questions: (A) If the Maximum Error of Estimate is 0.02 for this sample, what would be the sample size? (B) Given th… read more

1. Consider a population with µ = 67.1 and σ = 5.76. (A) Calculate

1. Consider a population with µ = 67.1 and σ = 5.76. (A) Calculate the z-score for x = 6.57 from a sample of size 40. (B) Could this z-score be used in calculating probabilities using Table 3 in Appen… read more

Disclaimer: Information in questions, answers, and other posts on this site ("Posts") comes from individual users, not JustAnswer; JustAnswer is not responsible for Posts. Posts are for general information, are not intended to substitute for informed professional advice (medical, legal, veterinary, financial, etc.), or to establish a professional-client relationship. The site and services are provided "as is" with no warranty or representations by JustAnswer regarding the qualifications of Experts. To see what credentials have been verified by a third-party service, please click on the "Verified" symbol in some Experts' profiles. JustAnswer is not intended or designed for EMERGENCY questions which should be directed immediately by telephone or in-person to qualified professionals.

Ask-a-doc Web sites: If you've got a quick question, you can try to get an answer from sites that say they have various specialists on hand to give quick answers... Justanswer.com.

JustAnswer.com...has seen a spike since October in legal questions from readers about layoffs, unemployment and severance.

Web sites like justanswer.com/legal

...leave nothing to chance.

...leave nothing to chance.

Traffic on JustAnswer rose 14 percent...and had nearly 400,000 page views in 30 days...inquiries related to stress, high blood pressure, drinking and heart pain jumped 33 percent.

Tory Johnson, GMA Workplace Contributor, discusses work-from-home jobs, such as JustAnswer in which verified Experts answer people’s questions.

I will tell you that...the things you have to go through to be an Expert are quite rigorous.

Wonderful service, prompt, efficient, and accurate. Couldn't have asked for more. I cannot thank you enough for your help.

Freshfield, Liverpool, UK

This expert is wonderful. They truly know what they are talking about, and they actually care about you. They really helped put my nerves at ease. Thank you so much!!!!

Los Angeles, CA

Thank you for all your help. It is nice to know that this service is here for people like myself, who need answers fast and are not sure who to consult.

Hesperia, CA

I couldn't be more satisfied! This is the site I will always come to when I need a second opinion.

Kernersville, NC

Just let me say that this encounter has been entirely professional and most helpful. I liked that I could ask additional questions and get answered in a very short turn around.

Woodstock, NY

Thank you so much for taking your time and knowledge to support my concerns. Not only did you answer my questions, you even took it a step further with replying with more pertinent information I needed to know.

Elkton, Maryland

He answered my question promptly and gave me accurate, detailed information. If all of your experts are half as good, you have a great thing going here.

Dallas, TX

< Previous | Next >

Mr. Gregory White

Master's Degree

114 satisfied customers

M.A., M.S. Education / Educational Administration

SusanAthena

Master's Degree

102 satisfied customers

Tutor for Algebra, Geometry, Statistics. Explaining math in plain English.

Dr Arthur Rubin

Doctoral Degree

97 satisfied customers

Ph.D. in Mathematics, 1978, from the California Institute of Technology, over 20 published papers

JACUSTOMER-yrynbdjl-

Master's Degree

42 satisfied customers

I have a MS in Mathematics and I have taught Mathematics for 10 years at the college level.

Don

Master's Degree

29 satisfied customers

M.S. Astronautical Engineering. Math/Sci/Comp Tutor

Kofi

PhD in Statistics

7,345 satisfied customers

Masters in Mathematics and Statistics

Sandhya_sharma

Master's Degree

5,309 satisfied customers

I hold M.Sc and M.Phil degrees in math and have several years of teaching experience.

< Previous | Next >

Disclaimer: Information in questions, answers, and other posts on this site ("Posts") comes from individual users, not JustAnswer; JustAnswer is not responsible for Posts. Posts are for general information, are not intended to substitute for informed professional advice (medical, legal, veterinary, financial, etc.), or to establish a professional-client relationship. The site and services are provided "as is" with no warranty or representations by JustAnswer regarding the qualifications of Experts. To see what credentials have been verified by a third-party service, please click on the "Verified" symbol in some Experts' profiles. JustAnswer is not intended or designed for EMERGENCY questions which should be directed immediately by telephone or in-person to qualified professionals.