The mean and standard deviation of a random sample of n measurements are equal to 34.7 and 3.2, respectively. a. Find a 99% confidence interval for μ if n = 121. b. Find a 99% confidence interval for μ if n = 484. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed? a. The 99% confidence interval for p if n = 121 is approximately ( (Round to three decimal places as needed.) CI

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The mean and standard deviation of a random sample of n measurements are equal to 34.7 and 3.2, respectively.
a. Find a 99% confidence interval for μ if n = 121.
b. Find a 99% confidence interval for u if n = 484.
c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence
coefficient fixed?
a. The 99% confidence interval for μ if n = 121 is approximately
(Round to three decimal places as needed.)
C...
Transcribed Image Text:The mean and standard deviation of a random sample of n measurements are equal to 34.7 and 3.2, respectively. a. Find a 99% confidence interval for μ if n = 121. b. Find a 99% confidence interval for u if n = 484. c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed? a. The 99% confidence interval for μ if n = 121 is approximately (Round to three decimal places as needed.) C...
Expert Solution
Step 1: Determine the given information

For the provided sample information, it is obtained that:

The sample mean, x¯=34.7.

The sample standard deviation, s=3.2

As the true standard deviation is unspecified, in order to obtain (1α)% confidence interval, the t-critical value is to be used. 




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