Answer: c.97.5 th percentile : $15.50; 2.5 th percentile : $12.50
Step-by-step explanation:
Since the hourly salaries of everyone in the company are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = hourly salaries
µ = mean salary
σ = standard deviation
From the information given,
µ = $14
σ = $0.75
Looking at the normal distribution table, the z score corresponding to the 2.5 th percentile(0.025) is - 1.96
- 1.96 = (x - 14)/0.75
x - 14 = 0.75 × - 1.96 = - 1.47
x = - 1.47 + 14
x = $12.53
Approximately, x = $12.5
Looking at the normal distribution table, the z score corresponding to the 97.5 th percentile(0.975) is 1.96
1.96 = (x - 14)/0.75
x - 14 = 0.75 × 1.96 = 1.47
x = 1.47 + 14
x = $15.47
Approximately, x = $15.5
