Question

Suppose it is determined that an unknown state’s 2020 population growth was actually 2.76%. Use your rounded summary statistics from 4(e), calculate the z-score of this value and round it to 2 decimal places. Explain in a complete sentence what this z-score indicates.

Column	n	Mean	Std. dev.
2020 Growth	50	1.06	1.37

Answer 1

This is a normal distribution question with

Sample size (n) = 50

Since we know that

P(X < x) = 0.0276

This implies that

P(Z < -1.9173) = 0.0276

Z score at 2.76% will be -1.9173

With the help of formula for z, we can say that

x = 0.6886

PS: you have to refer z score table to find the final probabilities.

Please hit thumbs up if the answer helped you