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

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 m.

b. Construct a 95% confidence interval for the population mean m.

c. Construct a 99% confidence interval for the population mean m.

d. Assume that the sample mean x and sample standard deviation s remain exactly the same as those you just calculated, but that they are based on a sample of n = 25 observations rather than n = 6 observations.
Repeat parts a–c. What is the effect of increasing the sample size on the width of the confidence intervals?

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