Seeclear windows makes windows for use in homes and commercial buildings. the standards for glass thickness call for the glass to average 0.375 inches with a standard deviation equal to 0.050 inch. suppose a random sample of nequals50 windows yields a sample mean of 0.392 inches. what is the probability if the windows meet the standards?

The probability if the windows meet the standards is 0.016.

Given

The standards for glass thickness call for the glass to average 0.375 inches with a standard deviation equal to 0.050 inches.

Suppose a random sample of nequals50 windows yields a sample mean of 0.392 inches.

In probability theory, an event is a set of outcomes of an experiment or a subset of the sample space.

The value of probability if the windows meet the standards is given by;

Substitute all the values in the formula;

By using a standard normal distribution table, the p-value is 0.016.

Hence, the probability if the windows meet the standards is 0.016.

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 0.0164

Step-by-step explanation:

Given : The standards for glass thickness call for the glass to average with a standard deviation 0.

Since the alternative hypothesis is two-tailed , so the test is two-tailed test.

Sample size : , a large sample ( n>30) so we use z-test.

Sample mean :-

We assume its a normal distribution.

By using standard normal distribution table , the p-value =

Thus, the probability if the windows meet the standards = 0.0164

 0.11429 (Rounded to fifth decimal place)