New Zealand lamb breeders measure the following variance values for their herd.

Trait	V$_{P}$	V$_{G}$	V$_{A}$
Body mass(kg)	$42.4$	$20.5$	$7.4$
Body fat (%)	$38.9$	$16.2$	$5.7$
Body length (cm)	$51.6$	$26.4$	$8.1$

a. Calculate the broad sense heritability (H$^{2}$) and the narrow sense heritability (h$^{2}$) for each trait in this lamb herd.

b. How would you characterize the potential response to selection ( R) for each trait?

Regional Power owns 25 small power generating plants. It has contracted with Genco Services to overhaul the power turbines of each of the plants. The number of hours that Genco billed Regional to complete the third turbine was 460. Regional pays Genco $\$ 60$ per hour for its services. As the maintenance manager for Regional, you are trying to estimate the cost of overhauling the fourth turbine. How much would you expect to pay for the overhaul of number 5 and number 6? All the turbines are similar, and an $80 \%$ learning curve is appropriate.

Which of the following represents an idea that Darwin learned from the writings of Thomas Malthus?

A. Earth has changed over the years through a series of massive geological events.

B. Earth is more than 10,000 years old.

C. Technological innovation in agricultural practices will permit exponential growth of the human population into the foreseeable future.

D. Populations tend to increase at a faster rate than their food supply allows.

E. The environment is responsible for natural selection.

Imagine you are trying to test whether a population of flowers is undergoing evolution. You suspect there is selection pressure on the color of the flower: bees seem to cluster around the red flowers more often than the blue flowers. In a separate experiment, you discover blue flower color is dominant to red flower color. In a field, you count 600 blue flowers and 200 red flowers. What would you expect the genetic structure of the flowers to be?

(a) Using a chart like the one shown, analyze the author's perspective in the selection.

$$\begin{aligned} &\text { Author's Perspective }\\ &\begin{array}{|l|l} \hline \text { Types of Details Included } & \text { Examples of Each } \\ \hline \square \text { researched facts } & \\ \square \text { personal experiences } & \\ \square \text { opinions } & \\ \square \text { attitudes } & \\ \hline \end{array} \end{aligned}$$

(b) Referring to your chart, briefly describe Cox's perspective.

Life on the Mississippi first appeared serially in the Atlantic Monthly magazine in 1875 . In 1874 , Twain wrote the magazines editor that he liked writing for the audience of the Atlantic "for the simple reason that it don't require a 'humorist' to paint himself striped and stand on his head every fifteen minutes." In other words, he liked an audience that appreciated subtle humor. Do you find this sensibility reflected in the selection you have just read? Explain.

Census data for a certain county show that 19% of the adult residents are Hispanic. Suppose 72 people are called for jury duty and only 9 of them are Hispanic. Does this apparent under representation of Hispanics call into question the fairness of the jury selection system? a) Write the null hypothesis. b) Write the alternative hypothesis. c) Check the assumptions and conditions for inference. d) Find the z-score for this sample proportion. e) Give the P-value for this test. f) State your conclusion (in context, of course).

The table below shows the results of the first 15 trials.

$$\text{Marble Selection Results}\\ \begin{array}{|l|c|}\hline \text{ } & \text{Number}\\ \text { Event } & \text { of Times } \\ \hline \text { Marbles matched } & 6 \\ \hline \text { No match } & 9 \\ \hline \end{array}$$

Use the data from the table above. Assume the data trend continues. For Katie and Tim, estimate the number of times that each one mows the lawn in 45 trials.

(a) Using a chart like the one shown, analyze the author's perspective in the selection.

$$\begin{aligned} &\text { Author's Perspective }\\ &\begin{array}{l|l} \hline \text { Types of Details Included } & \text { Examples of Each } \\ \hline \square \text { researched facts } & \\ \square \text { personal experiences } & \\ \square \text { opinions } & \\ \square \text { attitudes } & \\ \hline \end{array} \end{aligned}$$

(b) Use your chart to briefly describe Angelou's point of view.

Express the answer to the following combination problem using combination notation $\left({ }_n C_k\right)$ and numerically. See the earlier examples.

Many lottery games are set up so that players select a subset of numbers from a larger set, and the winner is the person whose selection matches that chosen by some random mechanism. The order of the numbers is irrelevant. How many choices of six numbers can be made from the numbers 1 through 49?

A researcher receives 100 containers of oxygen. Of those containers, 20 have oxygen that is not ionized, and the rest are ionized. Two samples are randomly selected, without replacement, from the lot. a. What is the probability that the first one selected is not ionized? b. What is the probability that the second one selected is not ionized given that the first one was ionized? c. What is the probability that both are ionized? d. How does the answer in part (b) change if samples selected were replaced prior to the next selection?

The Briggs and Stratton Commercial Division designs and manufactures small engines for golf turf maintenance equipment. A robotics-based testing system with support equipment will ensure that their new signature guarantee program entitled “Always Insta-Start” does indeed work for every engine produced. (a) Compare the annual worth values of the two systems at MARR = 10% per year. Select the better system. (b) Determine the salvage value for the Push System that will make the company indifferent between the two systems.

$$\begin{array}{lrr} & \text { Pull System } & \text { Push System } \\ \hline \text { Equipment first cost, } \$ & -1,500,000 & -2,250,000 \\ \text { AOC, } \$ \text { per year } & -700,000 & -600,000 \\ \text { Salvage value, } \$ & 100,000 & 50,000 \\ \text { Estimated life, years } & 8 & 8 \\ \hline \end{array}$$

In his research into the components of ethical decision making, Rest raised the following issue: Assuming someone possesses sound moral reasoning skills, “Why would they ever chose the moral alternative, especially if it involves sacrificing some personal value or suffering some hardship? What motivates the selection of moral values over other values?” How does Rest’s model deal with such a question? How would you answer it from the point of view of an accounting professional?

A regional infrastructure building and maintenance contractor is trying to decide whether to buy a new compact horizontal directional drilling (HDD) machine now or wait to buy it 2 years from now (when a large pipeline contract will require the new equipment). The HDD machine will include an innovative pipe loader design and maneuverable undercarriage system. The cost of the system is $68,000 if purchased now or$81,000 if purchased 2 years from now. At a real MARR of 10% per year and an inflation rate of 5% per year, determine if the company should buy now or later (a) without any adjustment for inflation and (b) with inflation considered.