The following sample data were recently collected in the course of conducting a randomized block analysis of variance.
Based on these sample data, what conclusions should be reached about blocking effectiveness and about the means of the three populations involved? Test using a significance level equal to 0.05.Block Sample 1 Sample 2 Sample 31 30 40 402 50 70 503 60 40 704 40 40 305 80 70 906 20 10 10A) Because F = 0.4195 < critical F = 4.103, we do not reject the null hypothesis and conclude that the three populations may have the same mean value.
B) Because F = 0.4195 < critical F = 4.103, we reject the null hypothesis and conclude that the three populations do not have the same mean value.
C) Because F = 0.1515 < critical F = 4.103, we do not reject the null hypothesis and conclude that the three populations may have the same mean value.
D) Because F = 0.1515 < critical F = 4.103, we reject the null hypothesis and conclude that the three populations do not have the same mean value.
Question 2
A mail-order business prides itself in its ability to fill customers' orders in six calendar days or less on the average.
Periodically, the operations manager selects a random sample of customer orders and determines the number of days required to fill the orders. Based on this sample information, he decides if the desired standard is not being met. He will assume that the average number of days to fill customers' orders is six or less unless the data suggest strongly otherwise. Establish the appropriate null and alternative hypotheses.A) H0 : 6 days Ha : < 6 days
B) H0 : 6 days Ha : > 6 days
C) H0 : > 6 days Ha : 6 days
D) H0 : < 6 days Ha : 6 days