24. A horticulturist is investigating the phosphorous content of tree leaves from three differ-ent varieties of apple trees. Phosphorous content is known to follow a normal distributionfor each of the three varieties. Random samples of four leaves from each of the threevarieties are analyzed for phosphorous content. Population variances are known to beequal for all three varieties. We would like to test the hypothesis of equal populationmeans for the three varieties at the 10% level of significance. The critical value for theappropriate hypothesis test is:(A) 1.36(B) 2.81(C) 3.01(D) 5.22(E) 9.38
25. We take simple random samples from two normally distributed populations and measurethe value of some variableX.We conduct a pooled two-samplettest to determinewhether there is evidence that the population means differ. We calculate a test statisticoft= 2.47 and a P-value of 0.04. Suppose we had instead conducted the test using ananalysis of variance. What would be the value of the test statistic and the P-value?
26. We are conducting an analysis of variance to compare the means of four populations. Inconducting this test, we will commit a Type I error if we: