
MATLAB: An Introduction with Applications
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Author: Amos Gilat
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Transcribed Image Text:A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 18.8, and the sample
standard deviation, s, is found to be 5.9.
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(a) Construct a 98% confidence interval about µ if the sample size, n, is 33.
(b) Construct a 98% confidence interval about u if the sample size, n, is 55. 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 33. How does increasing the level of confidence affect the size of the margin
of error, E?
(d) If the sample size is 20, what conditions must be satisfied to compute the confidence interval?
(a) Construct a 98% confidence interval about u if the sample size, n, is 33.
Lower bound:; Upper bound:
(Round to two decimal places as needed.)
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Step 1: Given Information:
VIEW Step 2: Construct a 98% confidence interval about population mean for n=33:
VIEW Step 3: Construct a 98% confidence interval about population mean for n=55:
VIEW Step 4: Construct a 99% confidence interval about population mean for n=33:
VIEW Step 5: Identify the conclusions to compute the confidence interval for n=20:
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