The owner of a herd of pigs wants to determine if the weights of any of her pigs are outliers.  The average weight of the pigs in her herd is 250 lb and the standard deviation of the weights is 50 lb.  The heaviest pig weighs 275 lb.  What should the owner of the pigs conclude?

A beef cattle nutritionist wants to compare the birth weights of calves from cows that receive two different diets during gestation.  He therefore selects 16 pairs of cows, where the cows within each pair have similar characteristics.  One cow within each pair is randomly assigned to diet 1, while the other cow in the pair is assigned to diet 2.  He obtains the following results:      Mean difference in birth weights of the pairs of calves = 10 lb      Standard deviation of the difference in birth weights of the pairs = 8.0 lb Construct a 95% confidence interval for the true mean difference in birth weights of the calves from cows receiving diet 1 vs. diet 2.

Assume X is a binomial random variable.  If n = 10 and p = 0.40, find P (r = 2 successes).

We are interested in estimating the average driving time of students who commute to Ohio State.  How many students who commute need to be included in our sample to order to be 98% confident that the estimated mean driving time will be within 4 minutes of the true population mean driving time if the standard deviation of the driving times is 8 minutes?

The  ∑  symbol in a statistical equation indicates that we are to perform which arithmetic operation?

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 covariance between the final grades in the math class (i.e., variable X) and the math ability test scores (i.e, variable Y).

The following table shows litter sizes for sows in four breeds of pigs. Yorkshire     Landrace     Hampshire     Duroc      8                   9                   8                 7     10                  9                   7                 8     11                10                   8                 9     11                10                   9                 7       9                  8                                                 49                46                 32               31 – treatment totals     9.8               9.2               8.0              7.5 – sample means     The total sums of squares in the Analysis of Variance table for this problem is equal to ____________.                                                                                    

The grades of 8 students on an exam were as follows: Student Grade 1 66 2 70 3 64 4 88 5 74 6 72 7 87 8 79     Find the mode for the grades of these 8 students.

A vet clinic has found that the number of patients per day has an average of 100 and a standard deviation of 10.  If nothing is known about the shape of the distribution of number of patients seen per day, what percentage of the days would be expected to have between 70 and 130 patients?

Which one of the following is not an assumption when we perform an Analysis of Variance?