7.43: Let
denote the random variable for height and
for the sample mean. Then if
is the mean of
So the probability that the difference between the sample and population means does not exceed 0.5 inch is

per the empirical or 68/95/99.7 rule.
7.44: For a sample of size <em>n</em>, the sample standard deviation would be
. We want to find <em>n</em> such that

Comparing to the equation from the previous part, this means we would need

so a sample of at least 157 men would be sufficient.
Answer:
0
Step-by-step explanation:
We can find the slope by using
m = (y2-y1)/(x2-x1)
= (10-10)/(1-4)
= 0/-3
=0
Answer:
Options A and B are true
(A) Before the authority increases tolls on any of the area bridges, it is required by law to hold public hearings at which objections to the proposed increase can be raised.
B. (B) Whenever bridge tolls are increased, the authority must pay a private contractor to adjust the automated toll-collecting machines.
Step-by-step explanation:
A. In a developed society, it's imperative for the authority to hold public hearings with stake holders to air their views before the tolls are increased, this would enable the authority to carry out proper assessment to know both the positive and negative impact of increasing the toll.
B. Increasing the tolls implies that there must be adjustment in the automated tolling machines and this would incur cost on the authority, this contract would be executed by private contractors.
Answer:
1) 36
2) 190
3) 72 units
Step-by-step explanation:
1) 2x4 = 8 units area for rectangle
(4-2) x4 /2 = 4 units
6 x 4 = 24 units
8 + 4 + 24 = 36
2) 3 x 10 / 2 = 15 units
5 x 10 /2 = 25 units
15 x 10 = 150 units
150 + 25 + 15 = 190 units
3) 6 x 3 / 2 = 9 units
6 x 9 = 54 units
6 x 3 / 2 = 9 units
9 + 9 + 54 = 18 + 54 = 72 units