1.The following random sample was selected from a normal distribution: 4, 6, 3, 5, 9, 3.It would be useful to draw the normal curve to illustrate the confidence intervala.Construct a 90% confidence interval for the population mean.b.Construct a 95% confidence interval for the population mean.c.Construct a 99% confidence interval for the population mean.00.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 = 25observations rather than n = 6 observations. Repeat parts a-c. What is the effect ofincreasing the sample size on the width of the confidence intervals?