A factory produces plate glass with a mean thickness of 4 mm and a standard deviation

Mathematics

1 answer:

tino4ka555 [31]3 years ago

3 0

Answer: 0.5363

Step-by-step explanation:

Given : Population mean : $\mu=4$

and standard deviation : $\sigma=1.1$

sample size : n= 100

Let x be the random variable that represents the thickness of sheet.

Since the probability for each element in a Simple random sample is equal.

∴ Using formula $z=\dfrac{x-\mu}\sigma}$ ,

The z-value corresponds to x=4.1

$z=\dfrac{4.1-4}{1.1}\approx0.091$

The probability that the sample mean would be greater than 139.7 millimeters will be :-

$P(x$

Hence, the required probability : 0.5363

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