How can we choose one brand of sports drink over another? Perhaps knowing the number of calories and price will help. The data below show this information for the leading liquid sports drinks. One 8-ounce serving is the basic unit for both calories and cost. Brand Calories (C) Cost in dollars (D) 1. 10-K 2. All Sport 3. Daily's Ist Ade 4. Exceed 5. Gatorade 6. Hydra Fuel 7. Nautilus Plus 60 .22 70 .24 .26 34 60 70 50 .26 66 .52 60 .22 8. Powerade 67 .24 9. Snapple Snap-Up 80 .35 SOURCE: Consumer Reports, August 1993. a. What is a good summary number for typical calories per serving for these drinks? What is a good summary number for the variation in the calories per serving? b. What is a good summary number for typical cost per serving for these drinks? What is a good summary number for the variation in costs per serving? Exercises 69 c. Does the total of the calories column provide useful information? How about the total of the cost column? d. Suppose Hydra Fuel is eliminated from the list. What impact does that have on the average calories per serving? On the standard deviation of calories per serving? On the average cost per serving? On the standard deviation of the cost per serving? e. Which drink has the maximum influence on the average calories per serving? What reasoning did you use in making this choice?

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How can we choose one brand of sports drink over another? Perhaps knowing the
number of calories and price will help. The data below show this information for the
leading liquid sports drinks. One 8-ounce serving is the basic unit for both calories
and cost.
Brand
Calories (C)
Cost in dollars (D)
1. 10-K
2. All Sport
3. Daily's Ist Ade
60
22
70
.24
60
26
4. Exceed
70
.34
5. Gatorade
6. Hydra Fuel
7. Nautilus Plus
50
.26
66
.52
60
.22
8. Powerade
67
.24
9. Snapple Snap-Up
80
35
SOURCE: Consumer Reports, August 1993.
a. What is a good summary number for typical calories per serving for these drinks?
What is a good summary number for the variation in the calories per serving?
b. What is a good summary number for typical cost per serving for these drinks? What
is a good summary number for the variation in costs per serving?
Exercises
e. Does the total of the calories column provide useful information? How about the total
of the cost column?
d. Suppose Hydra Fuel is eliminated from the list. What impact does that have on the
average calories per serving? On the standard deviation of calories per serving? On
the average cost per serving? On the standard deviation of the cost per serving?
e. Which drink has the maximum influence on the average calories per serving? What
reasoning did you use in making this choice?
Transcribed Image Text:How can we choose one brand of sports drink over another? Perhaps knowing the number of calories and price will help. The data below show this information for the leading liquid sports drinks. One 8-ounce serving is the basic unit for both calories and cost. Brand Calories (C) Cost in dollars (D) 1. 10-K 2. All Sport 3. Daily's Ist Ade 60 22 70 .24 60 26 4. Exceed 70 .34 5. Gatorade 6. Hydra Fuel 7. Nautilus Plus 50 .26 66 .52 60 .22 8. Powerade 67 .24 9. Snapple Snap-Up 80 35 SOURCE: Consumer Reports, August 1993. a. What is a good summary number for typical calories per serving for these drinks? What is a good summary number for the variation in the calories per serving? b. What is a good summary number for typical cost per serving for these drinks? What is a good summary number for the variation in costs per serving? Exercises e. Does the total of the calories column provide useful information? How about the total of the cost column? d. Suppose Hydra Fuel is eliminated from the list. What impact does that have on the average calories per serving? On the standard deviation of calories per serving? On the average cost per serving? On the standard deviation of the cost per serving? e. Which drink has the maximum influence on the average calories per serving? What reasoning did you use in making this choice?
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