Answer:
4
Step-by-step explanation:
The z-score is calculated by the following formula
z=(x-μ)/σ
where
μ=Population mean
σ=Population standard deviation
If the z-score for a specific sample mean is discussed then z-score is computed as
z=xbar-μ/σxbar.
where
μ=Population mean
σxbar=Sample standard deviation
As the population mean and mean of sampling distribution of mean are equal so, μ is used in above equation.
Now, the z-score is given
1.5=xbar-μ/σxbar
σxbar=xbar-μ/1.5.
Also we know that z-score corresponds to a score that is 6 points above mean which means that xbar-μ=6.
σxbar=6/1.5
σxbar=4.
Thus, the required sample standard deviation is 4.
Ok so first you would create a proportion.
8/x=4/1. Next you cross multiply and divide,
1 • 8÷4=x. Ratios are fractions with the first number being the numerator and the second being the denominator. If you think of it this way, you just find an equivalent fraction. Your answer would be 8:2 because in your proportion x=2.
A real word problem could be that max has 3/4 of a chocolate bar and he wants to divide the chocolate with 1/6 of her class. If he does that, how much will each person get?