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xenn [34]
3 years ago
14

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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