Question

A random sample of 81 items is selected from a population of size 350. What is the probability that the sample mean will exceed 205 if the population mean is 200 and the population standard deviation equals 25​? ​(Hint: Use the finite population correction factor since the sample size is more than​ 5% of the population​ size.)

Answer 1

Answer:-

Given That:-

A random sample of 81 items is selected from a population of size 350. What is the probability that the sample mean will exceed 205 if the population mean is 200 and the population standard deviation equals 25​?​(Hint: Use the finite population correction factor since the sample size is more than​ 5% of the population​size.)

A random sample of 81 items is selected from a population of size 350. the probability that the sample mean will exceed 205 if the population mean is 200 and the population standard deviation equals 25

we have a random sample size is 81, i.e., n = 81

population size is 350 i.e., N = 350

population mean is 200 i.e., = 200

population standard deviation is 25 i.e., b = 25

we want to find

  

   

  

  

Note that is sample mean.