A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 106, and the sample standard deviation, s, is found to be 10.(a) Construct an 80% confidence interval about u if the sample size, n, is 16.(b) Construct an 80% confidence interval about u if the sample size, n, is 25.(c) Construct a 90% 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 1-distribution.(a) Construct an 80% confidence interval about u if the sample size, n, is 16.Lower bound:: Upper bound:(Use ascending order. Round to one decimal place as needed.)

Answered: A simple random sample of size n is…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 19.4, and the sample standard deviation, s, is found to be 4.3. (a) Construct a 95% confidence interval about μ if the sample size, n, is 31. (b) Construct a 95% confidence interval about μ if the sample size, n, is 63. How does increasing the sample size affect the margin of error, E? (c) Construct a 98% confidence interval about μ if the sample size, n, is 31.How does increasing the level of confidence affect the size of the margin of error, E? (d) If the sample size is 21, what conditions must be satisfied to compute the confidence interval?
The law of large numbers states that as the number of observations drawn at random from a population with finite mean increases, the mean of the observed values: a. tends to get closer and closer to the population mean . b. gets smaller and smaller. c. gets larger and larger. d. fluctuates steadily between 1 standard deviation above and 1 standard deviation below the mean. I collect a random sample of size n from a population and compute a 95% confidence interval for the proportion I observe from the population. What could I do to produce a new confidence interval with a larger width (larger margin of error) based on these same data? a. I could use the same confidence level but compute the interval n times; approximately 5% of these intervals will be larger. b. Nothing can guarantee absolutely that I will get a larger interval; I can only say the chance of obtaining a larger interval is 0.05. c. I could use a smaller confidence…
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A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 19.6, and the sample standard deviation, s, is found to be 5.6. (a) Construct a 98% confidence interval about u if the sample size, n, is 32. (b) Construct a 98% confidence interval about µ if the sample size, n, is 58. How does increasing the sample size affect the margin of error, E? (c) Construct a 99% confidence interval about u if the sample size, n, is 32. How does increasing the level of confidence affect the size of the margin of error, E? (d) If the sample size is 21, what conditions must be satisfied to compute the confidence interval? (a) Construct a 98% confidence interval about µ if the sample size, n, is 32. Lower bound:; Upper bound: (Round to two decimal places as needed.) C...
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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 96% confidence interval about µ if the sample size, n, is 13. (b) Construct a 96% confidence interval about µ if the sample size, n, is 29. (c) Construct a 99% confidence interval about μ if the sample size, n, is 13. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? FClick the icon to view the table of areas under the t-distribution. (a) Construct a 96% confidence interval about μ if the sample size, n, is 13. Lower bound: Upper bound: (Use ascending order. Round to one decimal place as needed.)

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