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An Animal Scientist wants to estimate the average weaning weight of the Hereford breed of beef cattle.  Therefore, he selects a random sample of 100 Hereford calves and weighs them on the day they are weaned from their mothers.  The sample mean for these 100 calves is 450 lb and the sample standard deviation is 50 lb.  What is the point estimate of the mean of the entire population of all Hereford calves?

A standard normal distribution has

A large labor union wishes to estimate the mean number of hours per month that union members are absent from work.  The union samples 475 of its members at random and monitors their working time for 1 month.  At the end of the month, the total number of hours absent from work is recorded for each employee.  The mean and standard deviation of the sample are 9.6 hours and 3.6 hours, respectively.  What is the point estimate of the mean (μ) of the entire population of number of hours absent from work per month?

We have an event A and an event B, where    P (A) = 0.80     P (B) = 0.20     P (A intersect B) = 0.10 Find P (A union B).

An animal scientist conducts a study to estimate the proportion of cows of the Charolais breed that require assistance during calving.  A random sample of 500 Charolais cows is selected.  Results of the study show that 100 of the 500 cows in the sample required assistance in giving birth.  What is the point estimate of the true population proportion (p) of Charolais cows that require assistance during calving?

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              We want to test the null hypothesis that the three breed means are equal vs. the alternative hypothesis that at least two of the breed means are different.  Using a signficance level of 0.05, which one of the following statements is the correct conclusion?

Which of the following is not one of the properties of the sampling distribution of the sample mean?

The normal approximation to a binomial probability distrubtion is reasonably good even for small sample sizes (say, n as small as 10) when p = 1.0 and the distribution of X is therefore symmetric about its mean.

Assume that 20% of all pigs die between birth and weaning.  In a random sample of 300 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 300 that die between birth and weaning is less than or equal to 50.

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 Given that the variance of the final grades in the math class (i.e., variable X) is 228.4444 and the variance of the math ability test scores (i.e, variable Y) is 274.8889, calculate the slope of the regression line for the regression of Y on X.