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.

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.  Independent random samples of frame scores were selected from the Angus and Simmental breeds of beef cattle with the following results: Angus Simmental 5 7 6 7 7 8 5 6 7 7 6   What are the factors?

When we perform hypothesis testing, we specify a value for α (alpha), where α represents: