1. A retail store uses a screening test to discover sales potential in job applicants. After one year on the job, the gross sales of 20 sales personnel are tabulated along with their test scores as shown (in part) below.
   
   1a. [5 points] Create a regression model of predicted sales vs. test score. Hint : consider the quadratic term, (test score)^2 in your model.
   1b. [5 points] What is the value of R ² ?
   1c. [5 points] Are there any standardized residuals >2?
   1d. [5 points] What is the predicted gross sales volume for a test score = 95?
2. A "big-box" store conducts training for its sales force. To assess training effectiveness, the number of sales made during the first month after training is tabulated vs. number of training hours as shown (in part) below.
   
   2a. [5 points] Is there a linear trend between training and sales?
   2b. [5 points] What is the value of R ² ?
   2c. [5 points] Are there any standardized residuals >2?
   2d. [5 points] What is the predicted sales for training = 22 hours?
3. [5 points] A researcher tested a drug capable of inhibiting adrenaline release vs. stress level as shown in the table below. Note that 5 repeated measurements were made at each drug dosage. Create a regression model for stress level vs. drug dosage. When doing this, consider a quadratic term for drug dosage.
   
4. The data shown (in part) below refers to the deviations (x) from nominal diameter for drilled holes (in inches10 ^-4 ). The sample size = 5.
   
   4a. [5 points] Make x-bar & R charts of this data, including the UCL and LCL control limits for both xavg and R. ¹
   4b. [5 points] Are any points out of control (OOC), i.e., outside the UCL and/or LCL?
5. The data shown (in part) below gives the percentage of household wealth held by the top 1% income earners of the U.S. population from 1922-1998.
   
   5a. [5 points] Is the household wealth "process" in statistical control as evidenced by Ind. X & MR(2) charts? Hint : runs test violations, if any, should NOT be considered when giving your answers.
   5b. [5 points] Which years—if any—are OOC on either chart?
6. [5 points] A hospital records the number of outdated medications in 15 refrigerators over 24 months as shown by the data below.
   
   Create a p-chart for the data using the p-chart form given in the Excel dataset for chapter 18. Are any points OOC? ² Note : you do NOT have include the p-chart as part of your answer.
7. Injection molded parts are subjected to a compressive strength test. The strength results of 20 subgroups of 4 each are shown (in part) below. The process  &  are 79.53 and 1.720, respectively.

7a. [5 points] If the LSL and USL are 70 and 90, respectively, what is the Cp value?

7b. [5 points] What is the Cpk value?

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