Question

Meal can be considered symmetric and mound-shaped with mean 1075 calories and standard deviation 302 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 68-95-99.7 rule and may help with the following questions. a. What is the approximate percentage of the Chipotle meals that have more than 471 calories

Answer 1

The approximate percentage of the Chipotle meals that have more than 471 calories is 95%.

Explanation:

We are given that meal can be considered symmetric and mound-shaped with mean 1075 calories and standard deviation 302 calories.

Let X = Chipotle meals having calories

So, X ~ Normal(
`\mu=1075, \sigma^(2) =302^(2)`)

Now, the 68-95-99.7 rule states that;

• 68% of the data values lies within one standard deviation points.

• 95% of the data values lies within two standard deviation points.

• 99.7% of the data values lies within three standard deviation points.

So, the approximate percentage of the Chipotle meals that have more than 471 calories is given by;

`(X-\mu)/(\sigma) = (471-1075)/(302)`

= -2

Since, it is stated above that 95% of the data values lies within two standard deviation points which means 95% values lies between -2 and 2 z score values.

SO, the approximate percentage of the Chipotle meals that have more than 471 calories is 95%.