7.12 The mean and standard deviation of a random sample of n measurements are equal to 33.9 and 3.3, respectively. a. Find a 95% confidence interval for u if n = 100. b. Find a 95% confidence interval for u if n = 400. c. Find the widths of the confidence intervals you calcu- lated 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?

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7.12 The mean and standard deviation of a random sample of n
measurements are equal to 33.9 and 3.3, respectively.
a. Find a 95% confidence interval for u if n = 100.
b. Find a 95% confidence interval for u if n = 400.
c. Find the widths of the confidence intervals you calcu-
lated 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?
Transcribed Image Text:7.12 The mean and standard deviation of a random sample of n measurements are equal to 33.9 and 3.3, respectively. a. Find a 95% confidence interval for u if n = 100. b. Find a 95% confidence interval for u if n = 400. c. Find the widths of the confidence intervals you calcu- lated 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?
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