Answer:
$6.25
Step-by-step explanation:
Each apple is 2.25
The probability that the mean clock life would differ from the population mean by greater than 12.5 years is 98.30%.
Given mean of 14 years, variance of 25 and sample size is 50.
We have to calculate the probability that the mean clock life would differ from the population mean by greater than 1.5 years.
μ=14,
σ=
=5
n=50
s orσ =5/
=0.7071.
This is 1 subtracted by the p value of z when X=12.5.
So,
z=X-μ/σ
=12.5-14/0.7071
=-2.12
P value=0.0170
1-0.0170=0.9830
=98.30%
Hence the probability that the mean clock life would differ from the population mean by greater than 1.5 years is 98.30%.
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There is a mistake in question and correct question is as under:
What is the probability that the mean clock life would differ from the population mean by greater than 12.5 years?
Answer:

Step-by-step explanation:
The difference of two squares identity is

When we let

and

, we get:

This will simplify to give us the required factors

Complementary angles add up to 90 (there should be a right angle in the diagram)
x+20+x+10 needs to equal 90 where x=30
Left angle is measured 30+20=50 degrees
Angle on the right is measured 30+10=40 degrees