Frame score in beef cattle is based on height at the hips and is used as a measure of skeletal size.  Frame scores range from 1 to 10 with a higher number indicating a taller animal.  Independent random samples of frame scores were selected from the Angus and Simmental breeds of beef cattle with the following results: Angus Simmental 5 7 6 7 7 8 5 6 7 7 6   Calculate the Error Sum of Squares.

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                      How many blocks and treatments were used in the experiment?.

The weights in pounds of 23 dogs were used to construct the following stem-and-leaf display using the first digit as the stem and the second digit as the leaf:. Stem     Leaves                                                    3            2     4 4            0     3     4     5     7     8     9 5            0     1     2     3     4     5 6            1     2     5     6     7 7            0     1 8 9            8 Use the stem-and-leaf display to find the lower quartile.

A survey of 200 public universities indicated that the 25th percentile of the yearly tuition cost was $4,000, the 50th percentile was $5,700, and 75th percentile was $7,400.  Use this information to construct a box plot for the yearly tuition rates.  Specify the values of the inner and outer fences.

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?

A professor in the Department of Animal Sciences wants to estimate the mean weight of the Suffolk breed of lambs shown at the Ohio State Fair in the past five years.  Therefore, he selects a random sample of n = 25 lamb weights and obtains a sample mean of 125 lb and a sample standard deviation of 15 lb.  Construct a 95% confidence interval for the true population mean of the weights of Suffolk lambs shown at the Ohio State Fair in the past five years.

The mean length of time required to complete a 5K race was 20 minutes.  The standard deviation of the times was 4 minutes.  The racing times were approximately normally distributed.  What proportion of the runners would be expected to require between 18 and 25 minutes to complete the race?

Independent random samples of litter sizes were selected from the Yorkshire and Landrace breeds of swine with the following results: Yorkshire          Landrace 8 pigs                    7 pigs 9                            8 10                          9 8                            8 9                            7 10                               54                        39  The correction factor (correction for the mean) in this problem is 786.27272. Calculate the Treatment (i.e., breed) Sums of Squares.

Finnish Landrace ewes are noted for producing “litters” of lambs. The number of lambs in a litter for a sample of 6 Finnish Landrace ewes is as follows:  Ewe Number           Number of Lambs in Litter        1                                        3        2                                        4        3                                        3        4                                        2        5                                        5        6                                        4 What is the median litter size?

Find the area under the normal curve between z = -1.35 and z = 1.85.