Statistics Quiz: Quantitative Business Analysis
|
1. A partial relative frequency distribution is given. a. What is the relative frequency of class D (to 2 decimals)?
b. The total sample size is . What is the frequency of class D?
c. Show the frequency distribution.
d. Show the percent frequency distribution (to whole number).
|
2. Consider the following data.
|
15.9 |
11.6 |
13.0 |
13.4 |
11.6 |
7.0 |
15.4 |
9.6 |
13.3 |
14.0 |
|
14.3 |
8.1 |
9.6 |
14.9 |
7.7 |
10.0 |
10.6 |
10.3 |
8.8 |
7.4 |
a. Choose a correct graph.
|
A. |
|
|
|
|
|
B. |
|
|
|
|
|
C. |
|
|
|
|
|
D. |
|
|
|
|
b. Construct frequency distribution. Enter “0” if your answer is zero.
|
Class |
Frequency |
|
6.0 - 7.9 |
|
|
8.0 - 9.9 |
|
|
10.0 - 11.9 |
|
|
12.0 - 13.9 |
|
|
14.0 - 15.9 |
|
|
Total |
|
с. Construct percent frequency distribution. Enter “0” if your answer is zero.
|
Class |
Percent frequency |
|
6.0 - 7.9 |
|
|
8.0 - 9.9 |
|
|
10.0 - 11.9 |
|
|
12.0 - 13.9 |
|
|
14.0 - 15.9 |
|
|
Total |
|
Top of Form
|
3. Construct a stem-and-leaf display for the following data, using 0.1 as the leaf unit.
|
Top of Form
|
4. A study on driving speed (miles per hour) and fuel efficiency (miles per gallon) for midsize automobiles resulted in the following data: Click on the datafile logo to reference the data.
a. Which of the following is a scatter diagram with driving speed on the horizontal axis and fuel efficiency on the vertical axis.
Choose the correct scatter diagram from the above diagrams:
b. Comment on any apparent relationship between these two variables. The input in the box below will not be graded, but may be reviewed and considered by your instructor.
|
Top of Form
|
5. The average number of minutes Americans commute to work is 27.7 minutes (Sterling's Best Places, April 13, 2012). The average commute time in minutes for 48 cities are as follows: Click on the datafile logo to reference the data.
a. What is the mean commute time for these 48 cities? Round your answer to one decimal place. minutes
b. What is the median commute time for these 48 cities? Round your answer to two decimal places. minutes
c. What is the mode for these 48 cities?
d. What is the third quartile for these 48 cities? If required round your answers to one decimal place. The third quartile is .
|
Top of Form
|
6. Consider a sample with data values of 27, 25, 20, 16, 32, 33, 29, and 25. Compute the range, interquartile range, variance, and standard deviation (to a maximum of 2 decimals, if decimals are necessary).
|
Top of Form
|
7. The following times were recorded by the quarter-mile and mile runners of a university track team (times are in minutes).
After viewing this sample of running times, one of the coaches commented that the quarter milers turned in the more consistent times. Use the standard deviation and the coefficient of variation to summarize the variability in the data.
Does the use of the coefficient of variation indicate that the coach’s statement should be qualified? (i) Yes, the coefficient shows that as a percentage of the mean the quarter milers' times show more variability. (ii) No, the coefficient doesn't show that as a percentage of the mean the quarter milers' times show more variability. Choose the correct answer.
|
8. A data set has a first quartile of 42 and a third quartile of 50. Compute the lower and upper limits for the corresponding box plot.
|
Lower limit |
|
|
Upper limit |
|
Should a data value of 65 be considered an outlier?
Top of Form
|
9. Fortune magazine’s list of the world’s most admired companies for 2014 is provided the data contained in the DATAfile named AdmiredCompanies (Fortune, March 17, 2014). The data in the column labelled Return shows the one-year total return (%) for the top ranked 50 companies. For the same time period the S&P average return was 18.4%. Click on the datafile logo to reference the data.
a. Compute the median return for the top ranked 50 companies (to 1 decimal). % b. What percentage of the top-ranked 50 companies had a one-year return greater than the S&P average return? % c. Develop the five-number summary for the data. If required, round your answers to two decimals places. If required, enter negative values as negative numbers.
d. Are there any outliers? e. Select a box plot for the one year – total return.
Select the correct box plot:
|
Top of Form
|
10. A department of transportation’s study on driving speed and miles per gallon for midsize automobiles resulted in the following data:
Compute the sample correlation coefficient (to 2 decimals and enter negative value as negative number).
What can you conclude, based on your computation of the sample correlation coefficient?
Select the correct interpretation for the sample correlation coefficient. (i) For driving speeds between and miles per hour, higher speeds are associated with higher miles per gallon. (ii) For driving speeds between and miles per hour, higher speeds are associated with lower miles per gallon. (iii) For driving speeds between and miles per hour, lower speeds are associated with lower miles per gallon. (iv) There is no relationship between driving speed and miles per gallon.
|
Bottom of Form
Bottom of Form
Bottom of Form
Bottom of Form
Bottom of Form
Bottom of Form
- Select your answer -
- Select your answer -
- Select your answer -
- Select your answer -
- Select your answer -
Select
- Select your answer -
- Select your answer -
Select