6.3.26 (One-sided hypotheses for means ) Suppose that (x1,…, xn)… 6.3.26 (One-sided hypotheses for means ) Suppose that (x1,…, xn) is a sample from a N(, s2 0) distribution, where is unknown and s2 0 is known. Suppose we want to assess the hypothesis H0 : = 0. Under these circumstances, we say that the observed value x is surprising if x occurs in a region of low probability for every distribution in H0. Therefore, a sensible P-value for this problem is max?H0 P(X > x). Show that this leads to the P-value 1 – 4((x – 0)/(s0/ vn)). 6.3.27 Determine the form of the power function associated with the hypothesis assessment procedure of Problem 6.3.26, when we declare a test result as being statistically significant whenever the P-value is less than a. 6.3.26 (One-sided hypotheses for means ) Suppose that (x1, .. ., Xn) is a sample from a N(u, ) distribution, where u is unknown and o is known. Suppose we want to assess the hypothesis Ho : u < Mo. Under these circumstances, we say that the observed value x is surprising if x occurs in a region of low probability for every distribution in Ho. Therefore, a sensible P-value for this problem is maxueHo Pu(X > x). Show that this leads to the P-value 1 – P((x – Mo)/(o0/ n)). 6.3.27 Determine the form of the power function associated with the hypothesis assess- ment procedure of Problem 6.3.26, when we declare a test result as being statistically significant whenever the P-value is less than a…. Show moreplease help with question 6.3.27, thanksMathStatistics and Probability STAT 417
