A sample of size n = 56 is drawn from a normal population whose standard deviation is o=5.5. The sample mean isx = 37.71.-Part 1 of 2(a) Construct a 99% confidence interval for u. Round the answer to at least two decimal places.A 99% confidence interval for the mean isPart 2 of 2<μ<X(b) If the population were not approximately normal, would the confidence interval constructed in part (a) be valid?Explain.2022 McGraw HillThe confidence interval constructed in part (a) (Choose one) ▼ be valid since thesample size (Choose one) ▼ large.XSubmit Assignmentrved. Terms of Use | Privacy Center | Accessibility3

a) Suppose that µ is the population mean.

Answered: A sample of size n = 56 is drawn from a…

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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d, e and f
A simple random sample of size n= 12 is drawn from a population that is normally distributed. The sample mean is found to be x= 63 and the sample standard deviation is found to be s = 13. Construct a 95% confidence interval about the population mean. The lower bound is The upper bound is (Round to two decimal places as needed.)
(1 point) A random sample of 70 observations produced a mean of a 39.5 from a population with a normal distribution and a standard deviation o = 2.14. (a) Find a 95% confidence interval for u (b) Find a 99% confidence interval for (c) Find a 90% confidence interval for
A sample of size n= 60 is drawn from a population whose standard deviation is o = 33. Part 1 of 2 (a) 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 Part 2 of 2 X (b) If the sample size were n=82, would the margin of error be larger or smaller? because the sample size is (Choose one) (Choose one) x Ś Ś
In order to construct a confidence interval for the population variance, a random sample of n observations is drawn from a normal population. Use this information to find x²a/2, df and x²1-a/2, df under the following scenarios. (Round your answers to 3 decimal places. You may find it useful to reference the appropriate table: chi-square table or Ftable) X²al2,df a. A 95% confidence level with n = 9. b. A 95% confidence level with n = 40. c. A 99% confidence level with n = 9. d. A 99% confidence level with n = 40. X²1-a/2,df
Suppose we are making predictions of the dependent variable y for specific values of the independent variable x using a simple linear regression model holding the confidence level constant. Let Width (C.I) = the width of the confidence interval for the average value y for a given value of x, and Width (P.I) = the width of the prediction interval for a single value y for a given value of x. Which of the following statements is true? Width (C.I) = 0.5 Width (P.I) Width (C.I) = Width (P.I) Width (C.I) > Width (P.I) Width (C.I) < Width (P.I)
In a large scale study of energy conservation in single family homes, 20 homes were randomly selected from homes built in a housing development in southern England. Ten of the houses, randomly selected from the 20 houses selected for the study, were constructed with standard levels of insulation (70 mm of roof insulation and 50 mm of insulation in the walls). The other 10 houses were constructed with extra insulation (120 mm of roof insulation and 100 mm of insulation in the walls). Each house was heated with a gas furnace and energy consumption was monitored for eight years. The data shown below give annual gas consumption in MWh for each of the 20 houses. Standard Insulation Extra Insulation 13.8 15.1 17.8 13.9 18.0 15.9 17.3 17.2 16.9 15.2 19.9 13.8 13.6 11.3 17.6 13.2 15.9 18.8 12.3 14.0 Sample means Sample Standard Deviation 16.31 14.84 2.38 2.12
Use technology to construct the confidence intervals for the population variance o and the population standard deviation o. Assume the sample is taken from a normally distributed population. c= 0.90, s = 5.76, n = 26 The confidence interval for the population variance is ( ). (Round to two decimal places as needed.) The confidence interval for the population standard deviation is ( ). (Round to two decimal places as needed.)
(1 point) A random sample of 110 observations produced a mean of x = 34.7 from a population with a normal distribution and a standard deviation o = 4.39. (a) Find a 99% confidence interval for u (b) Find a 95% confidence interval for (c) Find a 90% confidence interval for u
A random sample of 28 items is drawn from a population whose standard deviation is unknown. The sample mean is = 790 and the sample standard deviation is s= 15. Use Appendix D to find the values of Student's t (a) Construct an interval estimate of u with 99% confidence. (Round your answers to 3 decimal places.) The 99% confidence interval is from to (b) Construct an interval estimate of u with 99% confidence, assuming that s= 30. (Round your answers to 3 decimal places.) The 99% confidence interval is from to (c) Construct an interval estimate of p with 99% confidence, assuming that s= 60. (Round your answers to 3 decimal places.) The 99% confidence interval is from to (d) Describe how the confidence interval changes as s increases. O The interval stays the same as s increases. O The interval gets wider as s increases. O The interval gets narrower as s increases.
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 104, and the sample standard deviation, s, is found to be 8. (a) Construct a 95% confidence interval about u if the sample size, n, is 22. (b) Construct a 95% confidence interval about u if the sample size, n, is 16. (c) Construct a 90% confidence interval about u if the sample size, n, is 22. (d) Should the confidence intervals in parts (a)-(c) have been computed if the population had not been normally distributed? (a) Construct a 95% confidence interval about u if the sample size, n, is 22. Lower bound: 100.5; Upper bound: 107.5 (Round to one decimal place as needed.) (b) Construct a 95% confidence interval about u if the sample size, n, is 16. Lower bound: Upper bound: (Round to one decimal place as needed.)
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

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A sample of size n = 56 is drawn from a normal population whose standard deviation is a=5.5. The sample mean x = 37.71. Part 1 of 2 (a) Construct a 99% confidence interval for u. Round the answer to at least two decimal places. A 99% confidence interval for the mean is Part 2 of 2