Reference no: EM132866288

To start, you are interested in the average age of voters in Central City who voted in the 2020 general election. Suppose X is a normal random variable, representing voter age, with mean, µ =  54 years, and standard deviation, s = 11 years.

a. Compute the z-value corresponding to X = 37.

Solution:

X= normal distribution representing voters age, mean= 54, S.D = 11, Z=?

Z= 37-54/11 = -1.55

Using the z table -1.55 = 0.0606

The z-value corresponding to X= 37 is 6.06%

b. Suppose the area under the standard normal curve to the left of the z-value found in part (a) is 0.0611. What does that number represent about your population?

Solution:

c. What is the area under the normal curve to the right of X = 37? What does this number represent?