A perfect positive correlation between variables X and Y indicates that the correlation between these two variables is equal to __________.

Medical research has shown that a certain type of chemotherapy is successful 70% of the time when used to treat skin cancer.  Suppose 5 skin cancer patients are treated with this type of chemotherapy.  Let X equal the number of patients out of 5 who are cured.  The probability distribution for the number of patients out of 5 who are cured is given in the following table:                                                                                         X             0           1           2           3           4           5     P (X)    0.002   0.029   0.132    0.309    0.360    0.168       Find σ2 = E .

The variable measured in an experiment (e.g., weights of cattle, heights of horses, etc.) is called the:

Assume that 15% of all pigs die between birth and weaning.  In a random sample of 200 births, let X be the number of pigs that die between birth and weaning.  Using the normal approximation to the binomial, find the approximate probability that the number of pigs in the sample of 200 that die between birth and weaning is greater than or equal to 40.

The process of collecting sample data is called ____________.

The body weight in pounds (variable X) and fleece weight in pounds (variable Y) of a random sample of four ewes are as follows: Body weight, lb (X)            Fleece weight, lb (Y)           140                                            9           145                                          10           155                                          10           160                                          12                                                                                      Calculate the covariance between body weight and fleece weight.

The amount of television viewed by today’s youth is a concern of Parents Against Watching Television (PAWT).  Three-hundred parents of elementary school-aged children were asked to estimate the number of hours per week that their child watched TV.  The mean and standard of their responses were 15 hours and 5 hours, respectively.  Identify the type of data collected by PAWT.

Assume that the probabilities of two genetic defects (we will call them defect A and defect B) in horses are 0.10 and 0.15, respectively.  If these two genetic defects represent independent events, what is the probability that a horse will have both of these genetic defects?

A Randomized Block Design is used to compare fleece weights of three breeds of sheep – Merino, Suffolk, and Dorset (we can think of the three breeds as being the three treatments).  The sheep are divided into two weight classes (i.e., two blocks).  Block one contains sheep weighing less than 150 lb and block two contains sheep weighing more than 150 lb.  The fleece weights (in pounds) are as follows:                    Merino          Suffolk          Dorset Block 1          13                  8                  9 Block 2          14                  9                 11                                                                          The partially completed ANOVA table for this experiment is as follows: Source     df          SS            MS            F      Total                29.33333 Breed              26.33333     13.16667    79.00003 Block                     Error                 0.33333        0.16667              The correct degrees of freedom for total, breed, block, and error, respectively are:

A study was conducted to determine whether a student’s final grade in a high school math class is linearly related to his or her performance on the math ability test administered before college entrance.  The math test scores and final grades for a random sample of 10 students are shown below. Final Grade in Math Class (X)          Math Ability Test Score (Y) 65                                                             39 78                                                             43 52                                                             21 82                                                             64 92                                                             57 89                                                             47 73                                                             28 98                                                             75 56                                                             34 75                                                             52   What are the correct null and alternative hypotheses if we want to test that these two variables are positively correlated?