Independent random samples of litter sizes were selected from the Yorkshire and Landrace breeds of swine, with the following results: Yorkshire Landrace 8 7 9 8 10 9 8 8 9 7 10   We want to analyze these data using Analysis of Variance with a Completely Randomized Design. Which one of the following is not an assumption of this Analysis of Variance with a Completely Randomized Design?

A __________ – tailed hypothesis test is one in which the alternative hypothesis is directional and includes the less than or greater than symbol.

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.

If we roll a single die, the sample points are a 1, 2, 3, 4, 5, or 6.  Consider the following two events:        Event A:  toss an even number        Event B:  toss a number less than or equal to 2 List the sample points that would be included in the union of events A and B.

It would be appropriate to construct a large-sample confidence interval for (p1 – p2) as long as both n1 and n2 are ≥ 30.

The ________ hypothesis is the theory that generally represents the status quo, which we accept until it is proven false.

Consider the following discrete probability distribution:                                                                x         -2         -1         0          1           2 P(x)   0.10     0.08     0.25     0.31     0.26 Calculate the mean (μ) of this discrete probability distribution.

The value of a population parameter (e.g., the mean, μ) is a constant; its value does not change; in other words, it does not vary from sample to sample.

Suppose x has a binomial probability distribution with n = 150 and p = 0.60.  Use the normal approximation to the binomial to find P(X>100).

A disadvantage of pulling numbers out of a hat as a method of random sampling is that it is difficult to get a thorough mixing of the pieces of paper in the hat or other container.  Therefore, this procedure only gives an approximation of random sampling.