STAT 571 Midterm: STAT 571 UW Madison Fall 02Mid2 Solutions
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At 0. 05 level, reject the null hypothesis that the population mean wing lengths corresponding to the 5 species are all equal. (b) the. 95% con dence interval is (63. 49/28. 85, 63. 49/6. 91) = (2. 2, 9. 2): let the number of wasps turning to the right be, under the null hypothesis h0 we have x . Therefore: under h0, we have e(x) = 0 1/3 + 2 1/3 + 7 1/3 = 3; var(x) = (0 3)2 1/3 + (2 3)2 . Limit theorem, x is approximately n (3, 8. 66/100). We should reject the null hypothesis if x is large since the mean of the distribution in the alternative hypothesis is larger than that in the null hypothesis. Denote the rejection region by x > c. then. = p (rejecting the null hypothesis|p = 0. 65) = p (x = 0, 1, or11|p = 0. 65) = 0. 650(1 0. 65)11 + 11 0. 651(1 0. 65)10 + 0. 6511. 3. (a) we have vr1 = s2 vr2 = s2.
