A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 38443844with a mean life of 997997minutes. If the claim is true, in a sample of 7373batteries, what is the probability that the mean battery life would be greater than 981.7981.7minutes

And we can use the normal standard distribution table or excel and with the complement ruler we got:

Step-by-step explanation:

We know the following info given:

represent the true mean

represent the population deviation

represent the sample size selected

Since the sample size is large enough (n>30) we can use the central limit theorem and the sample mean would have the following distribution:

And for this case we want to find this probability:

And we can use the z score formula given by:

And replacing we got:

And we can use the normal standard distribution table or excel and with the complement ruler we got:

bn,mn,n.vn.

step-by-step explanation: