A severe drought has affected several western states in recent years.  A Christmas tree farmer is worried about the drought’s effect on the size of his trees.  To determine whether the growth of his trees has been reduced by the drought, the farmer decides to take a sample of the heights of 6 trees and obtains the following results (recorded in inches): Tree Height 1 60 2 57 3 62 4 69 5 46 6 54 Find the standard deviation of the heights of this sample of 6 trees.

A Box Plot has the following values: lower outer fence = 168 lower inner fence = 196.5 lower quartile = 225 upper quartile = 244 upper inner fence = 272.5 upper outer fence = 301 Assume that four animals weigh 205, 250, 280, and 310 lb. Which of these weights are highly suspect outliers?

Independent random samples of litter sizes were selected from the Yorkshire and Landrace breeds of swine, with the following results: Yorkshire Landrace 8 7 9 8 10 9 8 8 9 7 10   We want to analyze these data using Analysis of Variance with a Completely Randomized Design. What is the critical F value from the appropriate table if we use a significance level of α = 0.05?

Independent random samples of litter sizes were selected from the Yorkshire and Landrace breeds of swine, with the following results: Yorkshire Landrace 8 7 9 8 10 9 8 8 9 7 10   We want to analyze these data using Analysis of Variance with a Completely Randomized Design. Calculate the Correction Factor (Correction for the Mean)

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 particularly interested in a certain foreign sedan, you decide to estimate the resale value of this car with a 90% 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 $1,500. Estimate the true mean resale value of this model of foreign car using a 90% confidence interval.

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?