Suppose we are testing the null hypothesis h0: μ = 20 and the alternative ha: μ 20, for a normal population with σ = 5. a random sample of 25 observations are drawn from the population, and we find the sample mean of these observations is = 17.6. the p-value is closest to:

0.0668.
0.0082.
0.0164.
0.1336.

The architect's side view drawing of a saltbox-style house shows a post that supports the roof ridge. the support post is 8 ft tall. the distance from the front of the house to the support post is less than the distance from the post to the back of the house. how far from the front of the house is the support post positioned?