Question

A sample of 100 cans of peas showed an average weight of 14 ounces with a standard deviation of 0.7 ounces. If the distribution isnormal, how many cans of peas will fall between 12.6 and 15.4 ounces?909510099

Answer 1

Answer: 95 cans

Given:

100 cans of peas

mean = 14 ounces

standard deviation = 0.7

We need to find:

$P\left(12.6

This will equate to:

[tex]\begin{gathered} P\left(\frac{12.6-14}{0.7}We will then subtract the probabilities:[tex]\begin{gathered} P(z<2)-P(z<-2) \\ \Rightarrow0.9772-0.0228=0.9544=95.44\% \end{gathered}$

Which is approximately close to 95%. Since there are 100 cans, we could also say that there are 95 cans that fall between 12.6 and 15.4 ounces.