Problem 20 The following random sample was selected from a normal distribution: 4, 6, 3, 5, 9, 3. a) Construct a 90% confidence interval for the population mean u . b) Construct a 95% confidence interval for the population mean µ . c) Construct a 99% confidence interval for the population mean u. Pel

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Problem 20
The following random sample was selected from a normal distribution: 4, 6, 3, 5, 9, 3.
a) Construct a 90% confidence interval for the population mean u.
b) Construct a 95% confidence interval for the population mean u.
c) Construct a 99% confidence interval for the population mean u.
d) Assume that the sample mean x and the sample standard deviation s remain exactly the same as those you
just calculated but are based on a sample of n=25 observations rather than n
parts a-c. What is the effect of increasing the sample size on the width of the confidence intervals?
e) Assume the population standard deviation was known to be o = 2.5. Repeat parts a-c.
6 observations. Repeat
Transcribed Image Text:he dealer's Problem 20 The following random sample was selected from a normal distribution: 4, 6, 3, 5, 9, 3. a) Construct a 90% confidence interval for the population mean u. b) Construct a 95% confidence interval for the population mean u. c) Construct a 99% confidence interval for the population mean u. d) Assume that the sample mean x and the sample standard deviation s remain exactly the same as those you just calculated but are based on a sample of n=25 observations rather than n parts a-c. What is the effect of increasing the sample size on the width of the confidence intervals? e) Assume the population standard deviation was known to be o = 2.5. Repeat parts a-c. 6 observations. Repeat
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