A local consumer reporter wants to compare the average costs of grocery items purchased at three different supermarkets – Kroger, Giant Eagle, and Meier.  Prices (in dollars) were recorded for a sample of 60 randomly selected grocery items at each of the three supermarkets.  In order to reduce item-to-item variation, the prices were recorded for each item on the same day at each supermarket. Item                          Kroger    Giant Eagle    Meier     1) Big Thirst Towel      $1.21       $1.49          $1.59 2) Post Golden Crisp    2.78         2.99            3.35 3) Tylenol Tablets         5.98         5.29            5.98           .                              .              .                   .           .                              .              .                   . 59) Colgate Shave       0.94         1.10            1.19 60) Kidney Beans        0.45          0.56            0.38                                                                                   The results of the Analysis of Variance for this experiment are as follows: Source           df       SS            MS          F     Total                       222.21     Supermarket              2.64       1.32       39.23 Item                        215.59       3.65     108.54 Error                           3.97      0.0337                                                                                What are the correct degrees of freedom for total, supermarket, item, and error, respectively?

A randomized block design yielded the following Analysis of Variance table:       Source             df        SS                MS                F Total                 14      836       Treatments        4       501       125.25 Blocks                2       225       112.50 Error                  8       110          13.75                      Find the critical F value from the F tables that should be used to compare to the calculated F value for blocks.  Assume that we will use a significance level (α) of 0.05.

For most populations, sample sizes of n > ________ will be adequate for the sampling distribution of the sample means to be normally distributed.

Independent random samples of 40 Yorkshire litters and 50 Landrace litters are obtained.  For Yorkshires, the mean litter size is 9.0 pigs and the standard deviation of litter size is 2.0 pigs.  For Landrace, the mean litter size is 8.5 pigs and the standard deviation of litter size is 1.8 pigs.  Construct an 80% confidence interval for the difference in population mean litter sizes of Yorkshire and Landrace.

Assume that we have a herd of 50 horses and that we want to select a random sample of 5 of the horses for an experiment.  We begin at row 5 column 1 of a random number table and observe the random numbers shown in the table below.         Col.           1 2 3 4 5 6 Row 5: 37570 39975 81837 16656 06121 91782   6: 77921 06907 11008 42751 27756 53498 Which one of the following is the correct set of 5 randomly selected horses to include in our experiment, assuming that we go from left to right across the rows of random numbers?

The ages (in years) of a sample of 6 students are as follows: Student Age 1 19 2 23 3 20 4 20 5 19 6 19                 Calculate the variance of this sample of 6 student ages.

The weaning weights (in kilograms) of a sample of 6 lambs born and raised on Farmer Jones’ farm are as follows: Lamb Weight 1 30 2 32 3 28 4 42 5 40 6 44 Find the standard deviation of the weaning weights of this sample of 6 lambs.

A farmer weighs his pigs before sending them to market.  The herd average market weight is 250 lb and the standard deviation of the weaning weights is 50 lb.  What is the z-score for a pig that weighs 200 lb?

Assume that the mean weight of a sample of calves is 600 lb and the standard deviation of the weights is 50 lb.  If the data set does not have a symmetric and mound shaped distribution, and we therefore use Chebyshev’s Rule, we would expect at least what percent of the calves to have weights between 500 and 700 lb?

You are interested in purchasing a new car.  One of the many points you wish to consider is the resale value of the car after 5 years of ownership.  Since you are particulary interested in a certain foreign sedan, you decide to estimate the resale value of this car with a 95% confidence interval.  You manage to obtain data on 16 recently resold 5-year-old foreign sedans of that model.  These 16 cars were resold at an average price of $10,000 with a standard deviation of $1,000. Estimate the true mean resale value of this model of foreign car using a 95% confidence interval.