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

Answer:

0.00000046997

Explanation:

→ Set up normal distribution without sample size

x ∼ N ( 12 , 84² )$x$

→ Set up normal distribution with sample size

$x\alpha N(12,\frac{84^{2} }{36})$

→ 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