Answer:
0.8770
Step-by-step explanation:
We are dealing with a mean of a sample, so we use the formula
Our mean, μ, is 174.9 and our standard deviation, σ, is 35.2. Our sample size, n, is 35. To find P(X > 168),
z = (168-174.9)/(35.2÷√35) = -6.9/(35.2÷5.9161) = -6.9/5.9499 = -1.16
Using a z table, we see that the area under the curve to the left of this value is 0.1230. However, we want the area to the right; this means we subtract from 1:
1-0.1230 = 0.8770
