Question

Using the Empirical Rules:

The Heights of North American women are normally distributed with a mean of 64 Inches and a standard deviation of 2 inches.

Answer the following questions based on mean = 64 and SD=2:

Tip: We don't need to have a sample size >= 30 to be normal since it is assumed "normally distributed" .  

QUESTION 3

We want to know what is the probability that the mean of random selected 4 North American women is taller than 66?

Tip:

1.We don't need n>= 30. The data distribution was "assumed to be normal" . So n= 1, 2, 3, 4,... any number, the mean Xbar is still normal (should be more normal;

2. You can use the excel template (Normal (not Standard) table and use case 2 by enter μ = 64 and

σ = 2/sqrt(4) (Standard Error σ/sqrt(n);

P (Xbar > 66) = ??? 4 decimals.

QUESTION 4

We want to know what is the probability that the mean of random selected 36 North American women is taller than 65?

P (Xbar > 65) = ??? 4 decimals.

Answer 1