A two-factor factorial experiment is conducted to compare fleece weights of Merino, Suffolk, and Dorset ewes fed one of two diets.  Two ewes of each breed are randomly assigned to each diet.  The fleece weights (in pounds) are as follows:                Merino            Suffolk            Dorset        Diet 1          14                   9                    8                     15                 10                    8 Diet 2           13                   8                  11                     12                    9                 12                                                                                   The partially completed ANOVA table is as follows: Source             df           SS             MS           F      Total                          66.2500 Diet                             0.0833       0.0833       0.19992 Breed                        46.5000     23.2500     55.79955 Diet x Breed              17.1667     Error                            2.5000      0.41667                                                                                       The correct values for the diet x breed mean squares and F value, respectively, are:

Scores on a statistics exam indicate that the 25th percentile was a 70 (out of 100 points possible), the 50th percentile was a 79, and the 75th percentile was an 88.  Use this information to construct a box plot for the exam scores.  The highest score on the exam was a perfect score of 100 out of 100.  Is this score a suspect or highly suspect outlier?

An experiment results in five possible outcomes with the following probabilities:  P(A) = .10, P(B) = .25, P(C) = .20, P(D) = .15, and P(E) = .30.  What is the probability that event A does not occur?

Find the standard deviation of a binomial probability distribution with a sample size of n = 25 and a probability of success of 0.30.

The person in charge of genetic evaluation of beef cattle wants to know if birth weights of calves are influenced by breed and if they are influenced by the region of the U.S. (i.e., Northern U.S. vs Southern U.S.) in which the calf is born.  She has heard that calves born in the South are usually lighter at birth than are calves born in the North.  In order to answer these questions, she sets up a 2 x 3 factorial experiment with 3 replications and obtains the birth weights (in pounds) shown in the following table:                   Angus       Charolais       Simmental North             85                93                 91                       85                92                 92                       83                94                 92   South            85                84                  82                      76                85                   83                      74                83                   83       The partially completed ANOVA table is as follows: Source               df             SS            MS          F       Total                                 548.00 Location Breed                               174.33       87.165     13.643 Location x breed                  9.00         4.500 Error                                                                                         Calculate the mean square (MS) for Error.

A dairy producer in Ohio wants to determine if the average milk production of her Holstein cows is greater than 18,000 lb of milk per lactation.  Therefore, she obtains a random sample of n = 100 milk production records from her herd and calculates a sample mean of 18,500 lb and a sample standard deviation of 3,500 lb. Should the dairy producer reject or not reject the null hypothesis using a significance level (α) = 0.05?  Explain.

A speed training program was effective in improving the 40-yard sprint times of high school athletes.  A study of 500 high school athletes was conducted to estimate p, the true proportion of all high school athletes who attained improved sprint times after participating in the speed training program.  The study showed that 425 of the 500 athletes had improved sprint times. Construct a 98% confidence interval to estimate the true population proportion of high school athletes who have improved sprint times as a result of participating in the speed training program.

Assuming that n1 = n2, find the sample sizes needed to estimate (μ1 – μ2) correct to within 2.5 with probability 0.90.  From prior experience we know that σ1 = 18 and σ2 = 16.

Suppose that 10% of the Labrador Retrievers in the U.S. have a particular genetic defect.  We randomly select 6 Labs from the population consisting of all Labs in the U.S.  What is the probability that exactly 2 of the 6 dogs in this sample have the genetic defect?

An animal scientist wants to determine the degree of association between carcass quality grade (variable X) and selling price per pound of carcass (variable Y).  The data for a random sample of 10 Angus steer carcasses are shown in the following table. Quality grade, X Carcass price per pound, Y 5 $1.09 7 1.19 4 0.99 5 1.04 8 1.21 6 1.18 4 0.94 7 1.15 8 1.23 6 1.12 Find the covariance between carcass quality grade and carcass price per pound.