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Instructions . Show all relevant workings . Use the normal distribution curve to illustrate your answer The following simple random sample was selected from a normal distribution: 4, 6, 3, 5, 9, and 3. a. Construct a 90% confidence interval for the population mean . b. Construct a 95% confidence interval for the population mean u. c. Construct a 99% confidence interval for the population mean J. 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? 000