Question

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 μ. 90% confidence interval is (_______, _) b. Construct a 95% confidence interval for the population mean μ. 95% confidence interval is (_, _) c. Construct a 99% confidence interval for the population mean μ. 99% confidence interval is (_, _) d. Assume that the sample mean and sample standard deviation remain exactly the same as those you just calculated but are based on a sample of n = 26 observations rather than n = 6 observations. Repeat parts a-c. a) 90% confidence interval is (_, _) b) 95% confidence interval is (_, _) c) 99% confidence interval is (_, _______) e. What is the effect of increasing the sample size on the width of the confidence intervals?

          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 μ.
90% confidence interval is (_______________, _______________)

b. Construct a 95% confidence interval for the population mean μ.
95% confidence interval is (_______________, _______________)

c. Construct a 99% confidence interval for the population mean μ.
99% confidence interval is (_______________, _______________)

d. Assume that the sample mean and sample standard deviation remain exactly the same as those you just calculated but are based on a sample of n = 26 observations rather than n = 6 observations. Repeat parts a-c.

a) 90% confidence interval is (_______________, _______________)

b) 95% confidence interval is (_______________, _______________)

c) 99% confidence interval is (_______________, _______________)

e. What is the effect of increasing the sample size on the width of the confidence intervals?

Added by Cameron E.

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