Question

Asked Nov 6, 2019

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 131131 millimeters, and a standard deviation of 88 millimeters.

If a random sample of 5050 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 33 millimeters? Round your answer to four decimal places.

Step 1

First let the given quantities are

Mean diameter **(m) = 131131 mm**

Standard deviation **(****σ) = 88 mm**

Sample size **n = 5050**

**X - m = 33 mm**

standard deviation of sample mean = **standard deviation/n = 88/5050 = 0.0174**

probability that the sample mean would differ from the population mean by greater than **33** millimetres that means is vary by **33** so it can be less than mean **- 33** or greater than mean **+ 3**3.

For probability, we need to find the **z- scor...**

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