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If the difference between the mean levels of factor A is independent of the levels of factor B, then there is ____________ between factors A and B.

Find the probability of an observation lying more than z = 2.25 standard deviations below the mean.

The weaning weights of two breeds of beef cattle are compared in two different regions of the US (say Florida and Wyoming).  When the mean weaning weights of the two breeds in the two different states are graphed, the lines are not parallel, and, in fact, intersect with each other.  What do you conclude?

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 Find the variance of the final grades in the math class (i.e., variable X).

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 slope of the least squares line for the regression of Y (fleece weight) on X (body weight).

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.  A randomized block design is used to compare the frame scores of Angus and Simmental calves where the blocks consist of calves of similar ages.  Three blocks are used, where block 1 contains calves that are 320 to 340 days of age, block 2 contains calves that are 341 to 360 days of age, and block 3 contains calves that are 361 to 380 days of age.  The frame scores are as follows:   Angus Simmental Block totals Block 1 5 6 11 Block 2 6 7 13 Block 3 7 8 15 Breed totals 18 21 39 The partially completed ANOVA table for this experiment is as follows: Source   df     SS     MS      F  Total   5.500     Breed   0.167 0.167 0.25 Block   4.000 2.000   Error   1.333 0.667   What are the degrees of freedom for total, breed, block,and error, respectively?

A scientist wants to estimate the true population proportion of mares that conceive when bred by AI.  She selects a random sample of 500 mares and finds that 300 of the 500 mares conceived when bred by AI.  The scientist knows that it is appropriate to construct a large-sample confidence interval for the true population proportion because

Major and gender of students enrolled at OSU are examples of ____________ data.

Outliers are typically due to which of the following causes

Suppose x has a binomial probability distribution with n = 200 and p = 0.60.  Use the normal approximation to the binomial to find P (X