233k views
3 votes
The average number of pounds of meat that a person consumes a year is 218.4 pounds. Assume that the standard deviation is 25 pounds and the distribution is approximately normal. If a sample of 40 individuals is selected, find the probabil

User Bandcar
by
4.9k points

1 Answer

2 votes

Answer:

The answer is "0.9217".

Explanation:

Please find the complete question in the attached file.


\mu = 218.4 \\\\ \sigma = 25\\\\\bar{x}= 224 \\\\ n = 40 \\\\


z = \frac{\bar{x} - \mu}{(\sigma)/(√(n))}\\


= (224 - 218.4)/((25)/(√(40))) \\\\= 1.4167\\\\\to P( \bar{x}< 224) = P(z< 1.4167) = 0.9217

The average number of pounds of meat that a person consumes a year is 218.4 pounds-example-1
User Kishor Patil
by
4.5k points