If an entire population with μ = 60 and σ = 8 is transformed into z-scores, then the distribution of z-scores will have a mean of ___ and a standard deviation of ___.

Mean of 0 and a standard deviation of 1.

Step-by-step explanation:

To transform the entire population into z-scores, one would need to normalize/standardize the scores.

The standardized score for any value is the value minus the mean then divided by the standard deviation.

Given mathematically as

z = (x - μ)/σ

The normal distribution shows how much a set of data points spread out around the mean.

A z-score is basically expressing how many standard deviations away from the mean is a particular data point.

z-score for the mean = (μ - μ)/σ = (60 - 60)/8 = 0

And any variable that is one standard deviation away from the mean will have a z-score of 1.

For example, 68 is one standard deviation away from the mean.

z-score for 68

z = (x - μ)/σ = (68 - 60)/8 = 1.

It is evident that normal distribution, when converted to z-scores has a mean of 0 and a standard deviation of 1.

true

step-by-step explanation:

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !