. A sample of 250 cans of peas showed an average weight of 14 ounces with a standard deviation of 0.7 ounces. If the distribution is relatively normal, how many cans will weigh …

Question

asked Jun 26, 2021 232k views

2 Answers

Jpangamarca · Answer 1 · 2021-07-02T18:17:05+0000

Answer:

40 cans weigh over 14.7 ounces

Explanation:

Given

Mean = 14 ounces

SD = 0.7

We have to find the z-score for 14.7 first

$z = (14.7-14)/(0.7)\\z = (0.7)/(0.7) = 1$

As we have to find the number of cans greater than 14.7, forst we will find the area to the left of obtained z-score and then subtract from 1.

So,

P(z<1) = 0.8413

Now,

P(z>1) = 1 - P(z<1) = 1-0.8413 = 0.1587

As the total number of cans is 250,

The cans which weigh over 14.7 are:

= 0.1587 * 250

= 39.675

Rounding off to nearest whole number

40 cans

Hence,

40 cans weigh over 14.7 ounces