Question

What do people actually order at Chipotle? How healthy is a normal Chipatle meal? Chipotle and other relatively new fast casual chains ike Shake Shack, Potbelly and Five Guys typically promote themselves as having healthier menu choices than the traditional fast foad 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. Many burritos and burrito bowls end up with 900 to 1,000 calories Reccrimendes dietary alowance 2.000 caiories 6% of meals 5% This small bump is mostly from sides of chips and guacamole. 4% 3% 2% About 2 percent of moals had more than 2,000 calories. 1% 200 2,200 2.400 2,600 2,800 Question 1. While the histogram is not perfectly symmetric (there is mild right skewness), Ris close enough to being symmetric and mound-shaped tojustify using the 68-95-99.7 rule, Suppose the distribution of calories in a Chipotle meal can be considered symmetric and mound-shaped with mean 1076 calories and standard deviation 298 calories. Use the 68-95-99.7 rule to answer the following questions. NOTE. This web site 68-95-99.7 rule graphically depicts the 69-95-99.7 rule and may help with the following questions a. What is the approximate percentage of the Chipotle meals that have more than 480 calories? b. What is the appraximate percentage of Chipotle meals with calorie amounts between 1374 calories and 1672 calories? c. if a particular meal's calorie amount is equal to the 16t percentile of Chipotle meal calorie amounts, how many calories are in the meal? calories

Answer 1

Approximately 68% of the observations fall within 1 standard deviation of the mean.

Approximately 95% of the observations fall within 2 standard deviations of the mean.

Approximately 99.7% of the observations fall within 3 standard deviations of the mean.

a)

Approximate percentage of the Chipotle meals that have more than 480 calories is 84%.

b) 13.5% of the data values will lie between 1374 and 1672.

c) Z score corresponding to 16th percentile is -1.0

Z= X-mean/sigma

Z*sigma= X-mean

-1.0*298= X-mean

X= -298+1096

X= 778 calories.

NOTE: Above image is just for illustration.