A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is foundto be 105, and the sample standard deviation, s, is found to be 10.(a) Construct a 96% confidence interval about µ if the sample size, n, is 22.(b) Construct a 96% confidence interval about µ if the sample size, n, is 17.(c) Construct a 95% confidence interval about μ if the sample size, n, is 22.(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? alcClick the icon to view the table of areas under the t-distribution.....heat(C

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A sample of size n = 36 is drawn from a population whose standard deviation is σ = 15.6. The sample mean is x = 94.5. Construct a 95% confidence interval.
A simple random sample of size n = 40 is drawn from a population. The sample mean is found to be x = 121.2 and the sample standard deviation is found to be s = 12.6. Construct a 99% confidence interval for the population mean. The lower bound is (Round to two decimal places as needed.) The upper bound is . (Round to two decimal places as needed.)
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 108, and the sample standard deviation, s, is found to be 10. (a) Construct a 98% confidence interval about μ if the sample size, n, is 16. (b) Construct a 98% confidence interval about µ if the sample size, n, is 12. (c) Construct a 70% confidence interval about u if the sample size, n, is 16. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution. (a) Construct a 98% confidence interval about μ if the sample size, n, is 16. Lower bound:; Upper bound: (Use ascending order. Round to one decimal place as needed.)
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean,x, is found to be 112, and the sample standard deviation, s, is found to be 10. A. Construct a 98% confidence interval about μ if the sample size, n, is 18. Lower bound- Upper Bound- B. Construct a 98% confidence interval about μ if the sample size, n, is 28. Lower bound- Upper Bound- C. Construct a 99% confidence interval about μ if the sample size, n, is 18. Lower bound- Upper Bound-
A sample of size n=37 is drawn from a population whose standard deviation is a = 43. Find the margin of error for a 90% confidence interval for μ. Round the answer to at least three decimal places. The margin of error for a 90% confidence interval for u is X 5 B 00
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 110, and the sample standard deviation, s, is found to be 10. (a) Construct a 98% confidence interval about μ if the sample size, n, is 15. (b) Construct a 98% confidence interval about μ if the sample size, n, is 24. (c) Construct a 99% confidence interval about μ if the sample size, n, is 15. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
A simple random sample with n = 52 provided a sample mean of 24.0 and a sample standard deviation of 4.6. a. Develop a 90% confidence interval for the population mean (to 1 decimal). b. Develop a 95% confidence interval for the population mean (to 1 decimal). c. Develop a 99% confidence interval for the population mean (to 1 decimal). d. What happens to the margin of error and the confidence interval as the confidence level is increased? V - Select your answer - They increase They decrease They stay the same It cannot be determined from the given data The margin of error increases and the confidence interval becomes narrower The margin of error decreases and the confidence interval becomes wider
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, ×, is found to be 110, and the sample standard deviation, s, is found to be 8. (a) Construct a 99% confidence interval about u if the sample size, n, is 24. (b) Construct a 99% confidence interval about u if the sample size, n, is 13. (c) Construct a 96% confidence interval about u if the sample size, n, is 24. (d) Should the confidence intervals in parts (a)(c) have been computed if the population had not been normally distributed? An example was provided with additional pictures.
A simple random sample with n= 52 provided a sample mean of 23.0 and a sample standard deviation of 4.3. a. Develop a 90% confidence interval for the population mean (to 1 decimal). b. Develop a 95% confidence interval for the population mean (to 1 decimal). c. Develop a 99% confidence interval for the population mean (to 1 decimal). d. What happens to the margin of error and the confidence interval as the confidence level is increased? - Select your answer -
A sample of n = 7 scores is selected from a population with an unknown mean ( µ). The sample has a mean of M = 40 and a variance of s 2 = 63. Which of the following is the correct 95% confidence interval for µ?
Boys and girls: The National Health Statistics Reports reported that a sample of 310 one-year-old boys had a mean weight of 25,3 pounds with a standard deviation of 3.3 pounds. In addition, a sample of 286 one-year-old girls had a mean weight of 24.3 pounds with a standard deviation of 3.6 pounds. Part: 0/2 Part 1 of 2 Construct a 98% confidence interval for the difference between the mean weights. Let u, denote the mean weight of one-year-old boys. Use the TI-84 plus calculator and round the answers to one decimal place. A 98% confidence interval for the difference between the mean weights is
Use the bootstrap distributions in Figure 1 to estimate the value of the sample statistic and standard error, and then use this information to give a 95 % confidence interval. In addition, give notation for the parameter being estimated. The bootstrap distribution in Figure 1, generated for a sample correlation to 0.25 0.30 0.35 0.40 0.45 0.50 0.55 Figure 1 Bootstrap distribution (a) Give the sample statistic for the parameter being estimated. Round your answer to one decimal place. Sample statistic = eTextbook and Media (b) Estimate the standard error. Round your answer to two decimal places. standard error = i eTextbook and Media (c) Give the 95 % confidence interval. Round your answers to two decimal places, if necessary. The 95 % confidence interval is i to i e Textbook and Media

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