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A survey was conducted to determine how people rate the quality of programming available on TV.  Twenty-one respondents were asked to rate the overall quality from 0 (no quality at all) to 100 (extremely good quality). The stem-and-leaf display based on these data (using the first digit as the stem and the second digit as the leaf) is shown below: Stem                       Leaves                                     3               2     5 4               0     3     4     7     8     9 5               1     1     2     3     4     5 6               1     2     5     6     7 7               7     8 Based on the stem-and-leaf display, the median for these TV ratings is __________.

Find the probability of an observation lying more than z = 2.17 standard deviations above the mean.

A randomized block design is used to compare postweaning average daily gains of 4 breeds of beef cattle, Hereford, Angus, Charolais, and Simmental (we can think of the breeds at the “treatments”).  The breeds are divided into 3 weight classes (i.e., 3 blocks).  Block 1 contains cattle weighing 450 to 500 lb at the beginning of the experiment, block 2 contains cattle weighing 500 to 550 lb at the beginning of the experiment, and block 3 contains cattle weighing 550 to 600 lb at the beginning of the experiment.  The postweaning average daily gains (in pounds per day) are as follows:  Block Hereford Angus Charolais Simmental 1 3.50 3.60 3.70 3.75 2 3.55 3.63 3.71 3.80 3 3.56 3.62 3.80 3.90 The partially completed ANOVA table for this experiment is as follows: Source df SS MS F Total   .160     Breed   .139 .046 46 Block   .014 .007   Error   .007 .001   What are the correct degrees of freedom for total, breed, block, and error, respectively?

The heights of 9 students (in inches) are as follows:  60  62   66   72   74   64   68   69   67 Find the median.

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?

The weights of 25 lambs (in pounds) in a flock of sheep are as follows: 68     73     66     76     86     74     61     89     65     90 69     92     76     62     81     63     68     81     70     73     60     87     75     64     82 Construct a stem-and-leaf display using the first digit as the stem and the second digit as the leaf.  Based on the stem-and-leaf display, the lower quartile for this set of weights is __________ lb.

A farmer wants to determine if any of the pigs that he just finished weighing are outliers.  The average weight of the pigs was 240 lb and the standard deviation of the weights was 35 lb.  According to his records, one of the pigs weighed 520 lb.  Calculate the z-score for this pig.  Based on this z-score, is the weight of 520 lb an outlier?

On a particular ranch weaning weights of calves are normally distributed with a mean of 430 lb and a standard deviation of 20 lb.  Find the probability that a randomly selected calf will weigh less than 415 lb.

Assume that you own a herd of Bison.  By plotting the birth weights of the calves born in your herd in the spring calving season, you determine that the distribution of birth weights was symmetric and mound-shaped with a mean of 80 lb and a standard deviation of 10 lb.  You would expect that approximately 95% of the calves born in your herd during the spring calving season would have birth weights between __________ and __________ lb.

The average height of a herd of cows is 50 inches and the standard deviation of the heights is 5 inches.  Find the probability that a randomly selected cow will have a height between 44 and 58 inches.