While the histogram is not perfectly symmetric (there is mild right skewness), it is close enough to being symmetric and bell-shaped to justify using the 68-95-99.7 rule. Suppose the distribution of calories in a Chipotle meal can be considered symmetric and bell-shaped with mean 1079 calories and standard deviation 296 calories. Use the 68-95-99.7 rule to answer the following questions. a. What is the approximate percentage of the Chipotle meals that have between 487 and 1671 calories? b. The middle 99.7% of Chipotle meals have between  calories and  calories? c. What is the approximate percentage of the Chipotle meals that have between 783 and 1375 calories

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What do people actually order at Chipotle? How healthy is a normal Chipotle meal? Chipotle and other relatively new fast casual chains like Shake Shack, Potbelly and Five Guys typically promote themselves as having healthier menu choices than the traditional fast food outlets like McDonald's, Taco Bell, Burger King, etc.

The recommended daily calorie intake for most adults is 1,600 to 2,400. The histogram below shows the calories in approximately 3,000 meals ordered from Chipotle on Grubhub.



While the histogram is not perfectly symmetric (there is mild right skewness), it is close enough to being symmetric and bell-shaped to justify using the 68-95-99.7 rule. Suppose the distribution of calories in a Chipotle meal can be considered symmetric and bell-shaped with mean 1079 calories and standard deviation 296 calories. Use the 68-95-99.7 rule to answer the following questions.

a. What is the approximate percentage of the Chipotle meals that have between 487 and 1671 calories?

b. The middle 99.7% of Chipotle meals have between  calories and  calories?

c. What is the approximate percentage of the Chipotle meals that have between 783 and 1375 calories?

Many burritos and burrito
bowls end up with 900 to
1,000 calories.
Recommended dietary allowance
2,000 calories
6% of meals
5%
This small bump is
4%
mostly from sides of
chips and guacamole.
3%
2%
About 2 percent of meals
had more than 2,000
calories.
1%
200
400
600
800
1,000
1,200
1,400
1,600
1,800
2,000
2,200
2,400
2,600
2,800
Transcribed Image Text:Many burritos and burrito bowls end up with 900 to 1,000 calories. Recommended dietary allowance 2,000 calories 6% of meals 5% This small bump is 4% mostly from sides of chips and guacamole. 3% 2% About 2 percent of meals had more than 2,000 calories. 1% 200 400 600 800 1,000 1,200 1,400 1,600 1,800 2,000 2,200 2,400 2,600 2,800
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