A swine producer reads a report stating that the average litter size in the US is 7.8 pigs per litter.  However, he feels that the average litter size on his farm is not 7.8 pigs/litter (he wants to detect departure in either direction from the hypothesized mean of 7.8 pigs/litter).  To test his hypothesis, he reviews his records for the past year and randomly selects 16 litters, which averaged 8.0 pigs/litter.  The standard deviation of litter size was 1 pig/litter. Calculate the value of the test statistic needed to test the null hypothesis.

A ____________ is a collection or set of data that describes a phenomenon of interest to us.

The fleece weights of 8 sheep (in pounds) are as follows: 5     6     7     8     9     10     10     12 For this sample of 8 fleece weights, the range is

Random variables X and Y are measured for a random sample of 20 individuals.  When the data are plotted on a graph, all of the points lie on a straight line that indicates that values of Y increase as values of X increase.  The correlation coefficient for these two variables is __________.

Given that P (A) = 0.30, P (B) = 0.60, and P (A ∩ B) = 0.15, find P (A|B).

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

The College of Food, Agricultural, and Environmental Sciences wants to estimate the proportion of students that are female.  In a small pilot study, they obtain a sample estimate of 0.60 for the proportion of students in the college that are female.  What sample size would be needed if the college administration wanted to estimate the proportion of students that are female correct to within 0.03 with a probability of 0.98?

The _______________ is the line that minimizes the sums of squares of deviations of points from the line.

A standard deck contains 52 cards, 13 in each of the 4 suits (hearts, diamonds, spades, and clubs).  Suppose that you have been dealt 3 cards from a randomly shuffled standard deck.  Find the probability that all 3 cards are spades.  Assume that, when you are dealt a card, you note the suit of the card and then return it to the deck such that in each case the next card is still dealt from a deck of 52 cards.  We call this sampling with replacement.

Independent random samples of 40 Yorkshire litters and 50 Landrace litters are obtained.  For Yorkshires, the mean litter size is 9.0 pigs and the standard deviation of litter size is 2.0 pigs.  For Landrace, the mean litter size is 8.5 pigs and the standard deviation of litter size is 1.8 pigs.  Construct an 80% confidence interval for the difference in population mean litter sizes of Yorkshire and Landrace.