Confectionary Products Americans ate an average of 25.7

Chapter 6, Problem 13RE

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QUESTION:

Americans ate an average of 25.7 pounds of confectionary products each last year and spent an average of $61.50 per person doing so. If the standard deviation for consumption is 3.75 pounds and the standard deviation for the amount spent is $5.89, find the following:

a. The probability that the sample mean confectionary consumption for a random sample of 40 American consumers was greater than 27 pounds

b. The probability that for a random sample of 50, the sample mean for confectionary spending exceeded $60.00

Source: www.census.gov

Questions & Answers

QUESTION:

Americans ate an average of 25.7 pounds of confectionary products each last year and spent an average of $61.50 per person doing so. If the standard deviation for consumption is 3.75 pounds and the standard deviation for the amount spent is $5.89, find the following:

a. The probability that the sample mean confectionary consumption for a random sample of 40 American consumers was greater than 27 pounds

b. The probability that for a random sample of 50, the sample mean for confectionary spending exceeded $60.00

Source: www.census.gov

ANSWER:

Step 1 of 3:

Americans ate an average of 25.7 pounds of confectionary products each last year.

They spend an average of $61.50 per person.

The standard deviation for consumption is 3.75 pounds and the standard deviation for the amount spent is $5.89.

We have to find the following.

a. The probability that the sample mean confectionary consumption for a random sample of 40 American consumers was greater than 27 pounds.

b. The probability that for a random sample of 50, the sample mean for confectionary spending exceeded $60.0.

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