Question

the data given below show the number of overtime hours worked in one week per employee.
overtime hours 0 1 2 3 4 5 6
employees 5 14 32 53 46 26 17
would it be unusual for an employee to work two hours of overtime? explain your reasoning.
select the correct choice below and fill in the answer box to complete your choice. (round to three decimal places as needed.)
a. no, it would not be unusual because the probability is
, which is less than 0.05.
b. no, it would not be unusual because the probability is
, which is greater than 0.05.
c. yes, it would be unusual because the probability is
, which is greater than 0.05.
d. yes, it would be unusual because the probability is
, which is less than 0.05.

Explanation:

Step1: Calculate total number of employees

First, sum up the number of employees for each overtime - hour value.
$5 + 14+32 + 53+46+26+17=193$

Step2: Calculate probability of working 2 overtime hours

The number of employees who worked 2 overtime hours is 32. The probability $P$ of an employee working 2 overtime hours is the number of employees who worked 2 overtime hours divided by the total number of employees.
$P=\frac{32}{193}\approx0.166$

Answer:

B. No, it would not be unusual because the probability is $0.166$, which is greater than 0.05.