question 1-17\na companys survey of 150 emplo...
question 1-17\na companys survey of 150 employees find that on average an employee drinks 10.2 cups of coffee during the workweek with a margin of error of ±0.6. using this data, it is estimated that a maximum of 6,048 cups of coffee will be consumed during a workweek. what is the total number of employees in the company?\n403\n580\n593\n630
Answer
# Answer:
593
# Explanation:
## Step1: Determine the upper - bound of average cups per employee
The average number of cups per employee is 10.2 with a margin of error of ±0.6. The upper - bound of the average number of cups per employee is $10.2 + 0.6=10.8$ cups.
## Step2: Calculate the total number of employees
Let the total number of employees be $n$. We know that the maximum number of cups consumed in a workweek is 6048 and the maximum average number of cups per employee is 10.8. Using the formula $Total\ cups=Average\ cups\ per\ employee\times Number\ of\ employees$, we have $n=\frac{6048}{10.8}=560$. But this is wrong. Let's use the lower - bound of the average for a more conservative estimate. The lower - bound of the average number of cups per employee is $10.2- 0.6 = 9.6$ cups. Then $n=\frac{6048}{9.6}=630$. However, if we assume the average is exactly 10.2 cups (ignoring the margin of error for a moment), $n=\frac{6048}{10.2}\approx593$.