Extensive data suggest that the number of overtime hours paid by a large company per month can be modeled as distribution with mean 3.5 and standard deviation 1.4.
If P₁ is the probability that the mean of a sample of size 55 lies in the interval (2.9,4.1) and P₂ is the probability that the mean of a sample of size 110 lies in the interval (2.9,4.1) ,then

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Quizplus · Accepted Answer

As the sample size increases, the standard error decreases, making the sample mean more likely to be close to the population mean. Therefore, P2 > P1.

Extensive Data Suggest That the Number of Overtime Hours Paid