Assume that both populations are normally distributed. (a) Test whether mu 1 not equals mu 2 at the alpha equals 0.05 level of significance for the given sample data. (b) Construct a 95% confidence interval about mu 1 minus mu 2. Population 1 Population 2 n 12 12 x overbar 13.2 16.7 s 2.9 3.5 Question content area bottom Part 1 (a) Test whether mu 1 not equals mu 2 at the alpha equals 0.05 level of significance for the given sample data. Determine the null and alternative hypothesis for this test. A.Upper H 0 : mu 1 not equals mu 2 Upper H 1 : mu 1 equals mu 2 Upper H 0 :mu 1 not equals mu 2 Upper H 1 :mu 1 equals mu 2 B.Upper H 0 : mu 1 equals mu 2 Upper H 1 : mu 1 not equals mu 2 Upper H 0 :mu 1 equals mu 2 Upper H 1 :mu 1 not equals mu 2 C.Upper H 0 : mu 1 not equals mu 2 Upper H 1 : mu 1 greater than mu 2 Upper H 0 :mu 1 not equals mu 2 Upper H 1 :mu 1 greater than mu 2 D.Upper H 0 : mu 1 equals mu 2 Upper H 1 : mu 1 greater than mu 2 Upper H 0 :mu 1 equals mu 2 Upper H 1 :mu 1 greater than mu 2