Question

A population has a mean of 84 and a standard deviation of 12. A sample of 36 observations will be taken. The probability that the sample mean will be between 80. 54 and 88. 9 is

Answer 1

0.00000046997

Step-by-step explanation:

→ Set up normal distribution without sample size

x ∼ N ( 12 , 84² )
`x`

→ Set up normal distribution with sample size

`x\alpha N(12,(84^(2) )/(36))`

→ State probability to find

p ( 80.54 < x < 88.9 )

→ Use calculator to find the values

Lower = 80.54, Upper = 88.9, σ = √84² ÷ 36 and μ = 12