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Use the following information to answer questions (12)-(14).  The economic impact of an industry, such as sport fishing, can be measured by the retail sales it generates.   In 2006, the economic impact of great lakes fishing in states bordering the great lakes had a mean of $318 and a standard deviation of $83.5.  Note that all dollar amounts are in millions of dollars.  Assume the distribution of retail sales is unimodal and symmetric.  (Source: National Oceanic and Atmospheric Administration).

 

11. For what percentage of great lakes states would you expect the economic impact from fishing to be between $234.5 and $401.5 (in millions of dollars)?

a. 95%

b. 68%

c. Nearly all

d. None of the above

 

12. The economic impact of fishing for nearly all great lakes states should fall within what range (in millions of dollars)?

a. $151 to $485

b. $67.5 to $568.5

c. $234.5 to $401.5

d. $83.5 to $318

13. If a new report came out saying that the economic impact of great lakes sport fishing on the economy of Illinois was $93,588,546, would you say this was unusual?   Note that this dollar amount must be converted before calculating a standard score.

a. No, it is in the range of typical values.

b. Yes, it is unusually high.

c. Yes, it is unusually low.

d. Not enough information available

Use the following information to answer questions (14)-(16).  Here is a table recording the number of deaths for the top thirteen worst U. S. tornados since 1925.  A histogram showing the distribution is also included.

14. Choose the most appropriate measure of center then calculate the typical value rounded to the nearest tenth.

a. Median;  181.0

b. Median;  239.9

c. Mean;  239.9

d. Mean;  181.0

15. Estimate the most appropriate measure of variability.

a. Standard Deviation;  169.4

b. IQR;  574

c. Standard Deviation;  178.5

d. IQR;  156

 

16. The worst tornado on record since 1925 is a tornado that went through Missouri, Illinois, and Indiana on March 18, 1925.  It killed 689 people.  Suppose that when this value was entered into a calculator or other software a mistake was made and it was entered as 1,689.

Choose the statement that describes what affect his mistake will have on the mean and median.

a. Both the median and the mean will be higher than they should be.

b. The median and the mean will not be affected by the error.  Both measures of center are resistant to extreme values.

c. The median will not be affected by the error, but the mean will higher than it should be.

d. The median will be higher than it should be, but the mean will not be affected by the error.

17. Calculate the five-number summary for the following dataset.

51    53    62    34    36    39    43    63    73    79

a. 32, 39, 52, 63, 79

b. 34, 37.5, 51, 62.5, 73

c. 34, 37.5, 53, 68, 79

d. 34, 39, 52, 63, 79

Use the side-by-side boxplots below to answer questions (19) and (20).  The boxplots summarize the number of sentenced prisoners by state in the Midwest and West.

18. Pick the statement that best describes the shape of the distribution for the states in the West.

a. The data appears to be roughly symmetrical with a possible outlier.

b. The data appears to be right-skewed with a possible outlier.

c. The data appears to be left-skewed with large variability.

19. Based on the boxplot for the Midwest, which of the following is true?

a. 25% of the states sentenced less than 1,435 prisoners.

b. 25% of the states sentenced more than 29,928 prisoners.

c. 50% of the states sentenced less than 4,322 prisoners.

d. 50% of the states sentenced more than 29,928 prisoners.

20. Using the boxplot for the Midwest, determine which of the following statements about the distribution cannot be justified.

a. The range in the Midwest is 49,213.

b. About 75% of the Midwestern states had 4,322 or more prisoners.

c. The distribution is skewed to the right

d. There are fewer states with 3887.5 to 6887 prisoners than states with 6887 to 15706 prisoners.

 

 

 

 

 

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