Answer the following questions with neat, clear and complete solutions. 1. The standard deviation for a population is o = 6.30. A random sample selected from this population gave a mean equal to 81.90. The population is known to be normally distributed. a. Make a 99% confidence interval for u assuming n = 16. b. Construct a 99% confidence interval for u assuming n = 20. c. Determine a 99% confidence interval for u assuming n = 25. d. Does the width of the confidence intervals constructed in parts a through c decrease as the sample size increases? Explain. 2. Determine the sample size for the estimate of for the following. a. E = .17, o = .90, confidence level = 99% b. E = 1.45, o = 5.82, confidence level = 95% c. E = 5.65, o = 18.20, confidence level = 90% A company that produces detergents wants to estimate the mean amount of detergent in 64-ounce jugs at a 99% confidence level. The company knows that the standard deviation of the amounts of detergent in all such jugs is .20 ounce. How large a sample should the company select so that the estimate is within .04 ounce of the population mean? 3.
Answer the following questions with neat, clear and complete solutions. 1. The standard deviation for a population is o = 6.30. A random sample selected from this population gave a mean equal to 81.90. The population is known to be normally distributed. a. Make a 99% confidence interval for u assuming n = 16. b. Construct a 99% confidence interval for u assuming n = 20. c. Determine a 99% confidence interval for u assuming n = 25. d. Does the width of the confidence intervals constructed in parts a through c decrease as the sample size increases? Explain. 2. Determine the sample size for the estimate of for the following. a. E = .17, o = .90, confidence level = 99% b. E = 1.45, o = 5.82, confidence level = 95% c. E = 5.65, o = 18.20, confidence level = 90% A company that produces detergents wants to estimate the mean amount of detergent in 64-ounce jugs at a 99% confidence level. The company knows that the standard deviation of the amounts of detergent in all such jugs is .20 ounce. How large a sample should the company select so that the estimate is within .04 ounce of the population mean? 3.
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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Transcribed Image Text:Answer the following questions with neat, clear and complete solutions.
1. The standard deviation for a population is o = 6.30. A random sample selected from this population gave a
mean equal to 81.90. The population is known to be normally distributed.
a. Make a 99% confidence interval for µ assuming n = 16.
b. Construct a 99% confidence interval for p assuming n = 20.
c. Determine a 99% confidence interval for u assuming n = 25.
d. Does the width of the confidence intervals constructed in parts a through c decrease as the sample
size increases? Explain.
2. Determine the sample size for the estimate of for the following.
a. E = .17, o = .90, confidence level = 99%
b. E = 1.45, o = 5.82, confidence level
c. E = 5.65, o = 18.20, confidence level = 90%
= 95%
A company that produces detergents wants to estimate the mean amount of detergent in 64-ounce jugs at a
99% confidence level. The company knows that the standard deviation of the amounts of detergent in all such
jugs is .20 ounce. How large a sample should the company select so that the estimate is within .04 ounce of
the population mean?
3.
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