STATISTICSListed below are the measured radiation absorption rates (in W / kg)
corresponding to these cell phones: iPhone 5S, BlackBerry Z30, Sanyo Vero, Optimus V, Droid
Razr, Nokia N97, Samsung Vibrant, Sony Z750a, Kyocera Kona, LG G2, and Virgin Mobile
Supreme. The data are from the Federal Communications Commission (FCC). The media often
report about the dangers of cell phone radiation as a cause of cancer. The FCC has a standard
that a cell phone absorption rate must be 1.6 W / kg or less. If you are planning to purchase a cell
phone, are any of the measures of center the most important stati stic? Is there another statistic
that is most relevant? If so, which one?
$$
\begin{array} { c c c c c c c c c c } { 1.18 } & { 1.49 } & { 1.04 } & { 1.04 } & { 1.45 } & { 0.74 } & { 0.89 } & { 1.42 } & { 1.45 } & { 0.51 } & { 1.38 } \end{array}
$$
Find the midrange. PROBABILITYThe Leungs decided to build a new house. The contractor quoted them a price of $144,500, including the lot. The taxes on the house would be$3200 per year, and homeowners' insurance would cost $450 per year. They have applied for a conventional loan from a bank. The bank is requiring a 15% down payment, and the interest rate is$ $10\frac{1}{2}$ $% with 2 points. The Leung's annual income is$86,500. They have more than 10 monthly payments remaining on each of the following: $220 for a car,$175 for new furniture, and $210 on a college education loan. Their bank will approve a loan that has a total monthly house payment of principal, interest, property taxes, and homeowners' insurance that is less than or equal to 28% of their adjusted monthly income. Determine the monthly payments of principal and interest for a 30-year loan. PROBABILITYLet
$$
X_1, X_2, ...,X_n
$$
be a random sample from the normal distribution N(μ, 9). To test the hypothesis
$$
H_0: μ = 80
$$
against
$$
H_1: μ ≠ 80
$$
, consider the following three critical regions:
$$
C_1 = [x̅: x̅ ≥ c_1], C_2 = [x̅: x̅ ≤ c_2]
$$
, and
$$
C_3 = [x̅: │x̅-80│≥ c_3]
$$
. If n = 16, find the values of
$$
c_1, c_2, c_3
$$
such that the size of each critical region is 0.05. That is, find
$$
c_1, c_2, c_3
$$
such that
$$
0.05 = P(X̅ ∈ C_1; μ = 80) = P(X̅ ∈ C_2; μ = 80) = P(X̅ ∈ C_3; μ = 80
$$
b. On the same graph paper, sketch the power functions for these three critical regions.