Blog

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 

Assume X is a binomial random variable.  If n = 15 and p = 0.90, find P (r ≥ 10 successes).

We want to find out how much money the average fan spends at a professional football game.  That question was posed to 10 randomly selected football fans.  The sample mean and sample standard deviation were $52.00 and $17.50, respectively.  Use this information to create a 95% confidence interval for the population mean, µ.

The standard deviation of the sampling distribution of the sample mean is equal to σ, the standard deviation of the population.

Consider the probability distribution shown below for the random variable X:                                                                                                     X             10           20           30           40           50           60      P (X)     0.05        0.20        0.30         0.25        0.10         0.10      Find the mean of this discrete probability distribution.