The breaking strength of a rivet has a mean value of 10,000 psi and a standard deviation of 501 psi. (a) What is the probability that the sample mean breaking strength for a random sample of 40 rivets is between 9,900 and 10,200

And we can find the probability with this difference and using the normal standard distribution table and we got:

Step-by-step explanation:

For this problem we have the following info:

represent the true mean

represent the deviation

representthe sample size selected

We want to find the following probability:

And for this case since the sample size is large enough we can use the central limit theorem and then we can use the z score formula given by:

Andreplacing we got:

And we can find the probability with this difference and using the normal standard distribution table and we got:

452,489 to the nearest thousand is 452,000