A two-factor factorial experiment is conducted to compare litter sizes of Yorkshire and Landrace sows derived either from a line unselected for litter size or from a line that has gone through 15 years of selection for increased litter size.  Two sows of each breed are randomly selected from each line.  Their litter sizes are as follows:                                   Yorkshire       Landrace            Unselected line               8                     9                                        9                    10 Selected line                 11                    11                                      10                      9                                                                                     The partially completed ANOVA table is as follows:  Source             df             SS                MS            F  Total                              7.875 Line                               3.125            3.125       3.57 Breed Line x Breed Error                              3.500            0.875                                                                                       Calculate the sums of squares for breed.

We want to test the hypothesis that the mean weight of a breed of dogs is greater than 40 lb.  Therefore, we obtain the weights of a random sample of 36 dogs. The dogs in the sample weighed an average of 43 lb with a standard deviation of 6 lb.  We want to test:    Ho:  μ = 40 lb    Ha:  μ > 40 lb using a significance level (α) = 0.05. Should we reject Ho:  μ = 40 lb?  Explain.

Health care issues are receiving a greal deal of attention in both the academic and political arenas.  A sociologist recently conducted a survey of senior citizens whose net worth is too high to quality for Medicaid, but who have no private health insurance.  The ages (in years) of 9 uninsured senior citizens were as follows: Senior Citizen Age 1 65 2 70 3 64 4 84 5 74 6 72 7 87 8 79 9 80 Calculate the mean age of these 9 senior citizens.

The average height cows of a certain breed is 54 inches and the standard deviation of the heights is 8 inches.  Fifteen percent of the cows are expected to be less than X inches tall.  Find the value of X.

We are interested in comparing the mean supermarket prices of two leading colas in the Columbus area.  Assume that we have independent random samples of prices of six-packs at 8 supermarkets.  The data are shown in the following table: Supermarket      Brand 1       Brand 2  1                             $2.25          $2.30 2                               2.47            2.45 3                               2.38            2.44 4                               2.27            2.29 5                               2.15            2.25 6                               2.25            2.25 7                               2.36            2.42 8                               2.37            2.40 _______________________________________ Mean                       $2.3125       $2.3500 Standard deviation  $0.1007       $0.0859 _______________________________________ Find the point estimate for the difference in mean price of Brand 1 and Brand 2, assuming that these are independent random samples.

A swine producer reads a report stating that the average litter size in the US is 7.8 pigs per litter.  However, he feels that the average litter size on his farm is not 7.8 pigs/litter (he wants to detect departure in either direction from the hypothesized mean of 7.8 pigs/litter).  To test his hypothesis, he reviews his records for the past year and randomly selects 16 litters, which averaged 8.0 pigs/litter.  The standard deviation is 1 pig/litter. Does the sample obtained by the producer provide sufficient evidence to reject the null hypothesis?  Explain.

The birth weights (in pounds) of 17 calves are used to construct the following stem-and-leaf display: Stem                    Leaf                                             3             4 4 5 6            5 7            4     5     7     9 8            2     4     5     6     8     9 9            2     3     5     6     8 What is the lower quartile for this data set?

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?