The average age of construction workers is 32 years with a standard deviation of 5 years. If a construction company employs 25 workers, find the probability that the average age of the group is greater than 33.9 years old. If this is the case, would it be safe to assume that the construction workers in this group are generally much older than average? Assume that the sample is taken from a large population and the correction factor can be ignored. Give your final answer as a percent rounded to two

MATLAB: An Introduction with Applications
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The average age of construction workers is 32 years with a standard deviation of 5 years. If a construction company employs 25 workers, find the probability that the average age of the group is greater than 33.9 years old. If this is the case, would it be safe to assume that the construction workers in this group are generally much older than average? Assume that the sample is taken from a large population and the correction factor can be ignored. Give your final answer as a percent rounded to two decimal places.

Fill in the blank: 

 
P(z > _____) = _______%

(select)    Yes or No, since the sample mean is not ____ standard deviations (standard errors) beyond the population mean.
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