Discussion:
Q1. In this test, the variance is known. Find the p-value of the test to 4 decimals, if the obtained value of the test statistic is 2.34. Make a sketch and represent the p-value.
H_o : Mu = Mu_o
H_a : Mu ,not = to, Mu_o
Q2. In this test, the variance is known. Find the p-value of the test to 4 decimals, if the obtained value of the test statistic is 1.45. Make a sketch and represent the p-value.
H_o : Mu ,> equal to, Mu_o
H_a : Mu < Mu_o
Q3. In this test, the variance is unknown and the sample size is 15. Bracket the p-value of the test, if the obtained value of the test statistic is 2.05.
H_o : Mu = Mu_o
H_a : Mu ,not = to, Mu_o
Q4. In this test, the population is normal, and the sample size is 20. Bracket the p-value of the test, if the obtained value of the test statistic is 31.786.
H_o : sigma square ,< equal to, 36
H_a : sigma square > 36