mathematics

Question 1.

1. According to the empirical rules, approximately 99.7% of the observations will fall within ________. (Points : 2) 

 

one standard deviation of the mean
two standard deviations of the mean
three standard deviations of the mean
four standard deviations of the mean

 

 

Question 2.

2. Numerical facts and figures that are collected through some type of measurement process are called ________. (Points : 2) 

 

statistics
metric
information
variables

 

 

Question 3.

3. Which of the following functions is used to find the smallest value in a range of cells using Microsoft Excel? (Points : 2) 

 

MAX(range)
MIN(range)
SUM(range)
AVERAGE(range)

 

 

Question 4.

4. A metric that is derived from counting something is called a(n) ________ metric. (Points : 2) 

 

continuous
nominal
discrete
ordinal

 

 

Question 5.

5. Which of the following principles underlie statistical thinking? (Points : 2) 

 

All work occurs in a system of interconnected processes.
All processes are identical without any degree of variation.
Better performance results from increasing variation.
Variations in measurement will not occur unless there are variations in the true values.

 

 

Question 6.

6. Outcomes such as customer satisfaction and dissatisfaction, complaints and complaint resolution, and customer perceived value would be considered ________ outcomes. (Points : 2) 

 

customer-focused
workforce-focused
product and process
leadership and governance

 

 

Question 7.

7. A distribution that is relatively flat with a wide degree of dispersion has a coefficient of kurtosis that is ________. (Points : 2) 

 

more than 3
less than 3
less than 6
more than 6

 

 

Question 8.

8. The correlation coefficient is a number between ________. (Points : 2) 

 

0 and +1
-1 and 0
-1 and +1
-2 and +2

 

 

Question 9.

9. The number of phone calls coming into a switchboard in the next five minutes will either be 0, 1, 2, 3, 4, 5, or 6. The probabilities are the same for each of these (1/7).  If X is the number of calls arriving in a five-minute time period, what is the mean of X? (Points : 2) 

 

2
3
4
5

 

 

Question 10.

10. If two events are mutually exclusive, then (Points : 2) 

 

their probabilities can be added.
the joint probability is equal to 0.
if one occurs, the other cannot occur.
All of the above

 

 

Question 11.

11. A discrete random variable has a mean of 400 and a variance of 64.  What is the standard deviation? (Points : 2) 

 

64
8
20
400

 

 

Question 12.

12. Suppose that, historically, April has experienced rain and a temperature between 35 and 50 degrees on 20 days.  Also, historically, the month of April has had a temperature between 35 and 50 degrees on 25 days.  You have scheduled a golf tournament for April 12.  If the temperature is between 35 and 50 degrees on that day, what will be the probability that the players will get wet? (Points : 2) 

 

0.333
0.667
0.800
1.000

 

 

Question 13.

13. Data for a particular subdivision near downtown Houston indicate that the average price per square foot for a home is $100 with a standard deviation of $5 (normally distributed).  What is the probability that the average price per square foot for a home is greater than $110? (Points : 2) 

 

0
0.023
0.841
0.977

 

 

Question 14.

14. The time required to complete a project is normally distributed with a mean of 80 weeks and a standard deviation of 10 weeks.  The construction company must pay a penalty if the project is not finished by the due date in the contract.  If a construction company bidding on this contract puts in a due date of 80 weeks, what is the probability that they will have to pay a penalty? (Points : 2) 

 

0
1.000
0.500
1/8

 

 

Question 15.

15. The number of cell phone minutes used by high school seniors follows a normal distribution with a mean of 500 and a standard deviation of 50.  What is the probability that a student uses more than 350 minutes? (Points : 2) 

 

0.001
0.999
0.618
0.382

 

 

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