A production company 350 hurry employees have 37.6 years of age with 8.3 years of standard deviation introduce sample of 45 is taken what is the probability that the sample will have all average age less than or equal to 40?
We can use the Central Limit Theorem to solve this problem. Since we have a large sample size (n=45), we can assume that the distribution of sample means follows a normal distribution with mean = 37.6 and standard deviation = 8.3/sqrt(45) = 1.237.
To find the probability that the sample will have all average age less than or equal to 40, we need to find the z-score for a sample mean of 40 or less:
z = (40 - 37.6) / 1.237 = 1.936
Using a z-table or a calculator, we can find that the probability of getting a sample mean less than or equal to 40 is approximately 0.9732.
Therefore, the probability that the sample will have all average age less than or equal to 40 is 97.32%.