the average number of employees that call in sick for the day over the course of a year is 25. the number of…

the average number of employees that call in sick for the day over the course of a year is 25. the number of employees that call in sick on 12 days are 25, 10, 16, 39, 27, 25, 32, 25, 25, 22, 28, and 14. enter the sample mean and the population mean in the boxes. $\bar{x}=square$ employees $mu=square$ employees

the average number of employees that call in sick for the day over the course of a year is 25. the number of employees that call in sick on 12 days are 25, 10, 16, 39, 27, 25, 32, 25, 25, 22, 28, and 14. enter the sample mean and the population mean in the boxes. $\bar{x}=square$ employees $mu=square$ employees

Answer

Answer:

$\bar{x}=23$ employees $\mu = 25$ employees

Explanation:

Step1: Calculate sample mean formula

The formula for the sample mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points.

Step2: Identify data and $n$

Here, $n = 12$, and the data points are $x_1 = 25,x_2=10,x_3 = 16,x_4=39,x_5 = 27,x_6=25,x_7 = 32,x_8=25,x_9 = 25,x_{10}=22,x_{11}=28,x_{12}=14$.

Step3: Calculate $\sum_{i = 1}^{n}x_{i}$

$\sum_{i = 1}^{12}x_{i}=25 + 10+16 + 39+27+25+32+25+25+22+28+14=276$.

Step4: Calculate sample mean

$\bar{x}=\frac{276}{12}=23$. The population mean $\mu$ is given as 25 (the average number of employees that call in sick for the day over the course of a year).