Question

The number of nails in a 5 lb box is normally distributed with a mean of 325 nails and a standard deviation of 15 nails
Suppose that 1200 different 5 lb boxes are in a warehouse.
About how many boxes contain more than 340 nails?
O 170
O 192
O 340
O 384

Answer 1

Answer: 192.. just took the test :)

Step-by-step explanation:

Answer 2

The number of  boxes contains more than 340 nails will be 190. Option B is correct.

What is Z score?

The number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured is known as the Z score.

Z score for the 340 nails is found as;

$\rm Z-score= \frac{340-325}{15} \\\\ Z-score=1$

If the probability of the z score is grater than 1 is;

P(Z≥1)=1-P(Z≤1)

P(Z≥1)=1-0.8413

P(Z≥1)=0.1587

For the 1200 boxes with more than the 340 nails is 192.

Hence,option B is correct.

Learn more about z-score refer:

https://brainly.com/question/21262765

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