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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

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Answer:

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

Step-by-step 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([tex]\mu=1075, \sigma^{2} =302^{2}[/tex])

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;

                               [tex]\frac{X-\mu}{\sigma} = \frac{471-1075}{302}[/tex]

                                        =  -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%.

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