Question

A normal distribution has a mean of 110 and a standard deviation of 8. Find the z-score for a data value of 80. Round to two decimal places

Answer 1

We have a normal distribution that has a mean of 110 and a standard deviation of 8.

We have to find the z-score for a value of X = 80.

We can use the following expression to find the z-score:

`z=(X-\mu)/(\sigma)`

where μ = 110 and σ = 8.

Then, we can solve as:

`z=(X-\mu)/(\sigma)=(80-110)/(8)=(-30)/(8)\approx-3.75`

Answer: z = -3.75