The sensitivity analysis in the Quality Sweaters example was on the response rate. Suppose now that the response rate is known to be 8%, and the company wants to perform a sensitivity analysis on the number mailed. After all, this is a variable under direct control of the company. Create a one-way data table and a corresponding line chart of profit versus the number mailed, where the number mailed varies from 80,000 to 150,000 in increments of 10,000. Does it appear, from the results you see here, that there is an optimal number to mail, from all possible values, that maximizes profit? Write a concise memo to management about your results.

Suppose you were to collect data for the following pair of variables, drivers: blood alcohol level, reaction time.  You want to make a scatter plot. Which variable would you use as the explanatory variable? Blood alcohol or reaction time? Which variable would you use as the response variable? Blood alcohol or reaction time? Would you expect to see a positive or negative association? Or neither?

In a typical set of numerical data, what fraction of the data values lie above Q3?

A study was undertaken to see how accurate food labeling for calories on food that is considered reduced calorie. The group measured the amount of calories for each item of food and then found the percent difference between the measured and labeled amount of calories. The group also looked at food that was nationally advertised, regionally distributed, or locally prepared. Do the data indicate that at least one of the mean percent differences between the three groups is different from the others? The data is summarized in the table below. National Mean Standard Deviation Sample Size Local -2.1 Regional 27.1667 143.125 Fill in the hypotheses below: Ho: Select an answer Ha: Select an answer 10.3257 20.797 53.5922 20 12 8

The following data represents the winning percentage (the number of wins out of 162 games in a season) as well as the teams Earned Run Average, or ERA.The ERA is a pitching statistic. The lower the ERA, the less runs an opponent will score per game. Smaller ERA's reflect (i) a good pitching staff and (ii) a good team defense. You are to investigate the relationship between a team's winning percentage - Y, and its Earned Run Average (ERA) - X. Winning Proportion - Y Earned Run Average (ERA) - X 0.623457 3.13 0.512346 3.97 0.635802 3.68 0.604938 3.92 0.518519 4.00 0.580247 4.12 0.413580 4.29 0.407407 4.62 0.462963 3.89 0.450617 5.20 0.487654 4.36 0.456790 4.91 0.574047 3.75 (b) Use R-Studio to find the least squares estimate of the linear model that expressed a teams winning percentage as a linear function of is ERA. Use four decimals in each of your answers.Y^i = ? + - Xi(e) A certain professional baseball team had an earned run average of 3.45 this past…

A colleague of yours is faced with testing a relationship at the .05 level or significance or the .01 level of significance. What is your advice to your colleague?  Why?

AFTER ENTERING TEST SCORES FROM HER STATISTICS CLASS, THE INSTRUCTOR CALCULATES THE MEAN AND THE MEDIAN AND FINDS THAT THE MEAN IS SIGNIFICANTLY SMALLER THAN THE MEDIAN? WHAT MIGHT THIS IMPLY ABOUT THE SHAPE OF THE DISTRIBUTION OF HER STUDENTS' TEST SCORES?

Considering yourselves to be observational units, explain why the following are not variables: Average amount of hours worked in the past 24 hours among students in our class. Proportion of students in our class who are first-generation college students Have left-handers read more Harry Potter books, on average, compared to right-handers?

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An industrial-organizational psychologist is interested in discovering the relationship between the tempo of preferred music that is played in a workplace and employee mood. Employees chose their favorite song on an MP3 player and then reported their moods when listening to that piece of music. A total of 10 participants were asked individually and brought in their own MP3 players; the least number of songs on an employee's MP3 player was 350. The sample data are presented as a scatterplot below. The psychologist wants to use a Pearson correlation coefficient to analyze the relationship. Considering the assumptions for this statistic, which of these statements is the correct course of action? A. The researcher has chosen the wrong statistic to represent this relationship. B. The researcher has violated a robust assumption and should be able to calculate r. C. The researcher has chosen the right statistic because all the assumptions are valid. D. The researcher has violated a…