The standard deviation for a population is o = 14.2. A sample of 25 observations selected from this population gave a mean 142.80. The population is known to have a normal distribution. Round your answers to two decimal places. a. Make a 99% confidence interval for μ. b. Construct a 97% confidence interval for μ. i c. Determine a 95% confidence interval for u. i i d. Does the width of the confidence intervals constructed in parts a through c decrease as the confidence level decreases?

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The standard deviation for a population is o = 14.2. A sample of 25 observations selected from this population gave a mean equal to
142.80. The population is known to have a normal distribution.
Round your answers to two decimal places.
a. Make a 99% confidence interval for μ.
i
i
b. Construct a 97% confidence interval for μ.
( i
i
c. Determine a 95% confidence interval for μ.
i
d. Does the width of the confidence intervals constructed in parts a through c decrease as the confidence level decreases?
Transcribed Image Text:The standard deviation for a population is o = 14.2. A sample of 25 observations selected from this population gave a mean equal to 142.80. The population is known to have a normal distribution. Round your answers to two decimal places. a. Make a 99% confidence interval for μ. i i b. Construct a 97% confidence interval for μ. ( i i c. Determine a 95% confidence interval for μ. i d. Does the width of the confidence intervals constructed in parts a through c decrease as the confidence level decreases?
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