We are interested in looking at the effect of a baseball player’s free-agent status on their salary. We look at 337 baseball players and categorize them as either having a high salary (above 2 million) or not, and as either being free agents or not. 1. What are the four expected counts? 2. Verify the expected counts using the equation: ???????? = ??? ????? × ??????????? ÷ ????? ????? 3. The given χ2 test table gives many test statistics. The row we want to look at is labeled Pearson Chi-Square. What are the test statistic, the degrees of freedom, and the p-value

A business reports that their average salary is over $91,000, the simple mean of the salaries listed in the chart. Alternatively, instead of a simple mean, the business could report the median, or the mode. Which would be the most useful to someone deciding whether to apply for an entry level job at this business? Job Number of Employees Salary Line workers 10 $30,000 Office manager 1 $45,000 CEO 1 $200,000 Select one: a. Simple mean is best b. Simple mean and median are nearly equal numerically. They are equally good for this purpose and better than the other options. O c. Simple mean and mode are equally good for this purpose and better than the other options. d. Median and mode are about equally good for this purpose and better than other options.

A group of 11 students was selected at random and asked for their high school GPA and their freshmen GPA in college the subsequent year. The results were: Student High School GPA Freshmen GPA 1 2.0 1.6 2 2.2 2.0 3 2.6 1.8 4 2.7 2.8 5 2.8 2.1 6 3.1 2.0 7 2.9 2.6 8 3.2 2.2 9 3.3 2.6 10 3.6 3.0 We would like to know whether there is a linear relationship between the high school GPA and the college freshmen GPA, and we would like to be able to predict the freshmen GPA, if we know that the high school GPA of another student is, say, 3.4.  Provide the two requested scatter plots for this data (put college freshman GPA on the Y (vertical) axis!).  a) What would be your approximate 95% prediction interval for question (g)? b) Show your scatterplot with the predicted trend line below

Out of 2500 light bulbs that were tested, 135 were defective. Based on this information calculate the following probabilities. Enter your answers as a reduced fraction using / for the fraction bar. P(defective) = Answer     P(not defective) = Answer S