Suppose a large labor union wishes to estimate the mean number of hours per month a union member is absent from work. The union decides to sample 496 of its members at random and
Monitor the working time of each of them for 1 month. At the end of the month, the total number
Of hours absent from work is recorded for each employee. Which of the following should be used
To estimate the parameter of interest for this problem?
A) A large sample confidence interval for $p$.
B) A small sample confidence interval for $\mu$.
C) A large sample confidence interval for $\mu$.
D) A small sample confidence interval for $p$.

Question

Suppose a large labor union wishes to estimate the mean number of hours per month a union member is absent from work. The union decides to sample 496 of its members at random and
Monitor the working time of each of them for 1 month. At the end of the month, the total number
Of hours absent from work is recorded for each employee. Which of the following should be used
To estimate the parameter of interest for this problem? 
A) A large sample confidence interval for $p$.
B) A small sample confidence interval for $\mu$.
C) A large sample confidence interval for $\mu$.
D) A small sample confidence interval for $p$.

Quizplus · Accepted Answer

The parameter of interest is the mean number of hours per month a union member is absent from work, which is a continuous variable, not a proportion. Since the sample size is large (496 members), a large sample confidence interval for the mean ($\mu$) is appropriate.

Suppose a Large Labor Union Wishes to Estimate the Mean ppp

Suppose a Large Labor Union Wishes to Estimate the Mean $p$