Extensive data suggest that the number of overtime hours paid by a large company per month can be modeled as a distribution with mean 4.2 and standard deviation 1.1.
If P₁ is the probability that the mean of a sample of size 55 lies in the interval (3.6, 4.8) and P₂ is the probability that the mean of a sample of size 110 lies in the interval (3.6, 4.8) , then

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Quizplus · Accepted Answer

As the sample size increases, the standard error decreases, making the sample mean more concentrated around the population mean. Therefore, P₂ is greater than P₁ because the interval (3.6, 4.8) is more likely to contain the sample mean for a larger sample size.

Extensive Data Suggest That the Number of Overtime Hours Paid