# Mathematics

out of 4 points Why is it so difficult for a person or an organization to improve?

·         Question 2

4 out of 4 points In the advertising case study, the unexpected “V” shaped pattern in the plot of advertising dollars versus sales indicated what?

·         Question 3

4 out of 4 points The primary goal of process mapping is to:

·         Question 4

4 out of 4 points Refer to Figure 3.21 and choose the correct statement for the measurements

·         Question 5

4 out of 4 points Use of subject matter knowledge is a key aspect of the Statistical Thinking Strategy discussed in Chapter 2. For which of the following case studies in Chapter 4 was this principle NOT clearly applied?

·         Question 6

0 out of 4 points In evaluating data on our process outputs, four characteristics we might investigate are: central tendency, variation, shape of distribution, and stability. Which of the following tools would be most helpful to determine the shape of the distribution?

·         Question 7

0 out of 4 points What does it mean if capability index Cp is less than 1?

·         Question 8

4 out of 4 points A comparison between the Cp and Cpk for a process would find which of the following to be true?

·         Question 9

0 out of 4 points Non-random and unpredictable patterns on a control chart indicate:

·         Question 10

4 out of 4 points The histogram below showing ages of credit card holders displays what type of distribution?

·         Question 11

4 out of 4 points Results of regression analysis are often abused in the following ways:

·         Question 12

4 out of 4 points The best way to evaluate the validity of a statistical model is:

·         Question 13

4 out of 4 points Process models are used to:

·         Question 14

0 out of 4 points Tips for building useful models include:

·         Question 15

0 out of 4 points George Box tells us “all models are wrong but some are useful”. By this comment he means:

·         Question 16

0 out of 4 points In every experiment there is experimental error.  Which of the following statements is true?

·         Question 17

4 out of 4 points This technique is used to eliminate the effects of nuisance factors (e.g., machines, day of week, and season of year) from an experiment.

·         Question 18

4 out of 4 points The basic reason for randomness of sampling in design of experiments is:

·         Question 19

0 out of 4 points An aspect of good experimental strategy is to study the effects of the variables
(Xs) over a wide range. This strategy increases the chances that effects will be found because:

·         Question 20

0 out of 4 points Given the plot below, what might you suspect about factors A and B?

·         Question 21

4 out of 4 points We ran a taste-test to see which soft drink employees in our company prefer. We had 100 employees, selected as randomly as possible, taste test two brands and determine which they preferred. Which of the following would be a reasonable statistical analysis to determine if there is a clear preference among our employees?

·         Question 22

0 out of 4 points We are conducting a poll for the mayoral election of a medium sized city, and found with one week before the election that the Democrat candidate is leading with 52% planning to vote for her, 46% planning to vote for the Republican, with 2% not sure. The 95% confidence interval for proportion planning to vote for the Democrat is +/- 3%. Based on this information, and making reasonable assumptions, which of the following statements is correct?

·         Question 23

0 out of 4 points For which of the following scenarios am I most likely to utilize a Chi-squared test?

·         Question 24

0 out of 4 points Based on a regression model, I have developed a 95% prediction interval for the time it will take me to run a mile under specific conditions (weather, what I have eaten & drank, running shoes used, and so on). This interval goes from 5.2 minutes to 6.1 minutes. Which of the following could be an accurate description of this interval? I have calculated an interval to document the uncertainty in my estimate of the long-term standard deviation I will experience in time to pay invoices in my business going forward. Baaed on this information, this should be considered what type of interval?