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Answer:
a) b)
Step-by-step explanation:
1) The 68-95-99.7 rule tells us how a distribution is divided. 99.7% of the distribution should fall within 3; 95%, 2 and 68%, 1 standard deviation from the mean.
As you can see in the graph.
a). What is the approximate percentage of the Chipotle meals that have more than 469 calories?
By the rule
We have the interval 68% is equal to the mean plus 1 standard deviation and minus one standard deviation.
So
But the question wants to know more than 469 calories, then
b. What is the approximate percentage of Chipotle meals with calorie amounts between 1372 calories and 1673 calories?
Check the graph below
This percentage is the interval, which is a quarter of that 95%
c.. If a particular meal's calorie amount is equal to the 16th percentile of Chipotle meal calorie amounts, how many calories are in the meal?
Since we're dealing with a Normal Curve, then to find the 16th percentile we need:
- The Mean and Standard deviation
- The Z score and then multiply by that Standard Deviation
- Add this to the mean
.
We have the location 772 = 16th percentile. Since this meal is equal to 16th percentile, then this meal has 772 calories.
