A severe drought has affected several western states in recent years.  A Christmas tree farmer is worried about the drought’s effect on the size of his trees.  To determine whether the growth of his trees has been reduced by the drought, the farmer decides to take a sample of the heights of 6 trees and obtains the following results (recorded in inches): Tree Height 1 60 2 57 3 62 4 69 5 46 6 54 Find the mean of the heights of this sample of 6 trees.

A university dean is interested in determining the proportion of students who receive some sort of financial aid.  Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid.  The dean performs the calculations needed to find a 90% large-sample confidence interval for the true population proportion.  Which one of the following confidence intervals is correct?

The qualitative or quantitative variables (e.g., age of calf, sex of calf, age of dam, breed of dam, etc.) that are related to a response variable are called ____________.

Assuming that the two sample sizes are the same, find the sample sizes needed to estimate the difference in population proportions correct to within 0.03 with a 90% level of confidence.  From prior experience we have an estimate of p1 that it is equal to 0.70 and an estimate of p2 that is equal to 0.60.

The object upon which the response variable is measured (animals, people, etc.) is called the __________.

A local consumer reporter wants to compare the average cost of grocery items purchased at 3 different supermarkets:  Kroger, Giant Eagle, and Sam’s Club.  Prices (in dollars) were recorded for a sample of 10 randomly selected grocery items at each of the 3 supermarkets (i.e., a total of 10 x 3 = 30 prices were recorded).  We will consider this to be a one-way analysis of variance (i.e., a completely randomized design).  The partially completed Analysis of Variance table is shown below: Source               df          SS          MS          F        Total                               120 Supermarkets                  20 Error                               100                                          State the null and alternative hypothesis being tested by the consumer reporter..

Find the mean of a binomial probability distribution with a sample size of n = 40 and a probability of success of 0.40.

A bottling company needs to produce bottles that will hold 12 ounces of liquid for a local beer maker.  Periodically, the company receives complaints that their bottles are not holding enough liquid.  To test this claim, the bottling company randomly samples 15 bottles and finds the average amount of liquid held by the 15 bottles is 11.90 ounces and the standard deviation is 0.20 ounces. Using a level of significance of α = 0.05 and a one-tailed hypothesis test, the bottling company should ____________ the Ho.

The Central Limit Theorem says that the sampling distribution of the sample mean is approximately normal under certain conditions.  Which of the following is a necessary condition for the Central Limit Theorem to be used?

It seems reasonable to assume that the number of times a team punts the ball in a football game would be negatively correlated with the number of points that the team scores (i.e., if a team is forced to punt frequently they are probably not moving the ball very well and probably are not scoring many points).  Number of punts (variable X) and number of points scored (variable Y) for a particular team in a random sample of five games are as follows: Number of Punts, X          Number of Points, Y              2                                         35              5                                         14              3                                         21              2                                         21              2                                         28   Calculate the Y-intercept of the least squares line for the regression of Y (points scored) on X (number of punts).