The random sample shown below was selected from a normal distribution. 7, 10, 8, 3, 6, 2O Complete parts a and b. a. Construct a 90% confidence interval for the population mean u. D (Round to two decimal places as needed.)

answer e,f,g The following random sample was selected from a normal distribution: 4, 6, 3, 5, 9, 3. d. Assume that the sample mean x and 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 = 6 observations. Repeat parts a–c. What is the effect of increasing the sample size on the width of the confidence intervals? e. Use Rejection region to test the null hypothesis that the mean of the population is 6 against the alternative hypothesis, ?<6. Use ? = .05. f. Use p-Value to test the null hypothesis that the mean of the population is 6 against the alternative hypothesis, ? ≠6. Use ? = .05.