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2. People counting calories have to be careful about the estimates placed on pre

ID: 3054868 • Letter: 2

Question

2. People counting calories have to be careful about the estimates placed on prepackaged food. Suppose testing shows that a certain brand of doughnut has a mean calorie count of 240, so that is the amount printed on the package. However, testing shows that the calories counts vary, following a normal distribution with a standard deviation of 15 calories. a) Find the probability that an individual doughnut for this brand contains more than 275 calories. You must show your work using a calculator function to receive credit.

Explanation / Answer

mean =240 ,sd = 15

a)

P(X > 275)

Access the normalcdf function on the calculator by pressing 2nd

Then press VARS to access the DISTR menu.

IMPORTANT!!

You must choose the normalcdf function, not the normalpdf

Now enter the 4 important

numbers in order.

First, enter the lower boundary, 275 and then press the comma key.

Next, enter the upper boundary

If you want all the numbers more than a certain value, your upper boundary will

be positive infinity. Use a large positive number like 100000 in this case.

Enter the average, 240, and then press the comma key.

Enter the sd , 15, and then press the comma key.

normalcdf(275,100000,240,15)

.

Press Enter to get your answer.

It will be 0.0099

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