Question 4. [5 points] Inference on the mean of a population, variance known. A researcher wants the error in estimating the mean, u, of a normal population with known standard deviation o = 5.4, and 99% confidence, to be less than 1.5 units. The required sample size is n=68. [5 points] Select one: O True O False Question 5. [5 points] Inference on the variance of a normal population. of For the test of the null hypothesis Ho: a -0.32 against the one-sided alternative H1: o' > 0.32 at the significance level of a 0.05, a random sample was taken from a normal population. The p- value (observed significance level) was found to be P = 0.041. The test fails to reject the null hypothesis. [5 points] Select one: O True O False Question 6. [5 points] Inference on the variance of a normal population. In a random sample from a normal population with unknown variance, the 99% two-sided confidence interval on the variance, o', was found to be 4.17 So'S 6.41. An analyst will use this interval to test the null hypothesis Ho: o' - 3.9 against the two-sided alternative H1: o' # 3.9 at the significance level a=0.01. The null hypothesis is rejected. [5 points] Select one: O True O False