# 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.

Question

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.

check_circle

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 + 33.

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

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

### Math 