Question

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

Answer 1

Answer:

The answer is "0.9217".

Step-by-step explanation:

Please find the complete question in the attached file.

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

$z = \frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$= \frac{224 - 218.4}{\frac{25}{\sqrt{40}}} \\\\= 1.4167\\\\\to P( \bar{x}< 224) = P(z< 1.4167) = 0.9217$