In the 2008 baseball season, first baseman Ryan Howard of the Philadelphia Phillies led the Major Leagues with 48 home runs (HR) and 146 runs batted in (RBI). Overall, using all players with at least 300 plate appearances, the mean number of HR was $14.9$ with a standard deviation of $9.8$, whereas the mean number of RBI was $62.5$ with a standard deviation of $25.5$. Which was the more impressive PERFORMANCE? Explain, using the methods of this chapter.

Indicate whether each of the following statements concerning anabolic steroid use is true or false.

a. Illegal anabolic steroid use has very little effect on the performance of female athletes.

b. Use of illegal anabolic steroids affects the male reproductive system.

c. Structurally, testosterone and “Andro” contain the same number of carbon atoms.

d. Structurally, testosterone and THG differ in that all steroid ring attachments are different.

Seven performers A, B, C, D, E, F, and G are to appear in a fund raiser. The order of performance is determined by random selection. Find the probability that

$$\textbf{a.}\hspace{10pt}\text{D will perform first.}$$

$$\textbf{b.}\hspace{10pt}\text{E will perform sixth and B will perform last.}$$

$$\textbf{c.}\hspace{10pt}\text{The comedians will perform in the following order:C, D, B, A, G, F, E.}$$

$$\textbf{d.}\hspace{10pt}\text{CF or G will perform first.}$$

An office building requires a heat transfer rate of $20\ \mathrm{kW}$ to maintain the inside temperature at $21^{\circ} \mathrm{C}$ when the outside temperature is $0^{\circ} \mathrm{C}$. A vapor-compression heat pump with Refrigerant $22\mathrm{a}$ as the working fluid is to be used to provide the necessary heating. The compressor operates adiabatically with an isentropic efficiency of $82 \%$. Specify appropriate evaporator and condenser pressures of a cycle for this purpose assuming $\Delta T_{\text {cond }}=\Delta T_{\text {cvap }}=10^{\circ} \mathrm{C}$, as shown in figure. The states are numbered as in figure. The refrigerant exits the evaporator as saturated vapor and exits the condenser as saturated liquid at the respective pressures. Determine the (a) mass flow rate of refrigerant, in $\mathrm{kg} / \mathrm{s}$. (b) compressor power, in $\mathrm{kW}$. (c) coefficient of performance and compare with the coefficient of performance for a Carnot heat pump cycle operating between reservoirs at the inside and outside temperatures, respectively.. Compare the results with those of previous problem and discuss.

Performance Bike Co. is a wholesaler of motorcycle supplies. An aging of the company's accounts receivable on December 31 and a historical analysis of the percentage of uncollectible accounts in each age category are as follows:

$$\begin{array}{lrc} \text { Age Interval } & \text { Balance } & \begin{array}{c} \text { Percent } \\ \text { Uncollectlble } \end{array} \\ \hline \text { Not past due } & \$ 3,250,000 & 0.8 \% \\ 1-30 \text { days past due } & 1,050,000 & 2.4 \\ 31-60 \text { days past due } & 780,000 & 7.0 \\ 61-90 \text { days past due } & 320,000 & 18.0 \\ 91-180 \text { days past due } & 240,000 & 34.0 \\ \text { Over } 180 \text { days past due } & \underline{\hspace{15pt}150,000} & 85.0\\ &\underline{\underline{\$5,790,000}} \end{array}$$

Assume that the allowance for doubtful accounts for Performance Bike Co. had a debit balance of $28,400 as of December 31.

Journalize the adjusting entry for uncollectible accounts as of December 31.

A refrigerator is operated by a $0.25-\mathrm{hp}(1 \mathrm{hp}$= $746\ watts)$ motor. If the interior is to be maintained at $4.50^{\circ} \mathrm{C}$ and the room temperature on a hot day is $38^{\circ} \mathrm{C}$, what is the maximum heat leak (in $watts$) that can be tolerated? Assume that the coefficient of performance is $50 \%$ of the maximum theoretical value. What happens if the leak is greater than your calculated maximum value?

Performance data for a centrifugal fan of 3-ft diameter, tested at 750 rpm, are

$$\begin{matrix} \text{Volume flow rate Q (}{\mathrm{ft}^{3} /s)} & \text{106} & \text{141} & \text{176} & \text{211} & \text{246} & \text{282}\\ \text{Static pressure rise, }{\Delta p} (psi) & \text{0.075} & \text{0.073} & \text{0.064} & \text{0.050} & \text{0.033} & \text{0.016}\\ \text{Power output }{\mathscr{P} (hp)} & \text{2.75} & \text{3.18} & \text{3.50} & \text{3.51} & \text{3.50} & \text{3.22}\\ \end{matrix}$$

Plot the performance data versus volume flow rate. Calculate static efficiency, and show the curve on the plot. Find the best efficiency point, and specify the fan rating at this point. Using the fan, determine the minimum size square sheet-metal duct that will carry a flow of 200 $\mathrm{ft}^{3}$/s over a distance of 50 ft. Estimate the increase in delivery if the fan speed is increased to 1000 rpm.

Consider a Carnot-cycle heat pump with R22 as the working fluid; Heat is rejected from the R-22 at 100 F: during which process the R-22 changes from saturated vapor to saturated liquid. The heat is transferred to the R-22 at 30 F. a. Show the cycle on a T-diagram. b. Find the quality of the R-22 at the beginning and end of the isothermal heat addition process at 30 F. c. Determine the coefficient of performance for the cycle.

Peal Corporation issued 4,000 shares of its $10 par value stock with a market value of$85,000 to acquire 85 percent of the common stock of Seed Company on August 31, 20X3. Seed's fair value was determined to be $100,000 on that date. Peal had previously purchased 15 percent of Seed's common stock for$9,000 on January 31, 20X1, and had carried this investment at fair value on its balance. Peal reported this investment at $15,000 on its balance sheet at August 31, 20X3, immediately prior to acquiring the remaining 85 percent of Seed's shares. On August 31, 20X3, Peal also paid appraisal fees of$3,500 and stock issue costs of $2,000 incurred in completing the acquisition of the additional shares.

Required

Give the journal entries to be recorded by Peal in completing the acquisition of the additional shares of Seed.

Suppose that you have n values to put into an empty binary search tree.

1. In how many different orders can you add the n values to the tree? This is not the same as the number of possible binary search trees for n values. Explain why.
2. What is the probability that a randomly constructed binary search tree has worst-case performance? Hint: Compute the fraction of the total number of possible orders that results in the worst case.

In an effort to improve student performance, teachers at $12$ city schools are being asked to work a longer day next year for a relatively small increase in salary. For working an additional $190 \mathrm{~h}$, a teacher currently earning $\$ 79,400$ per year would see his or her salary increase to $\$ 83,500$ per year.

From the information given above, find the hourly rate the teachers will be paid for the extra hours they will work.

In 2012, the New York Yankees won 95 games and spent $\$ 198$ million on salaries for their players (USA Today). Is there a relationship between salary and team performance in Major League Baseball? For the 2012 season, a linear model fit to the number of Wins (out of 162 regular season games) from the team Salary $(\$ M)$ for the 30 teams in the league is:

$$\widehat{\text { Wins }}=76.45+0.046 \text { Salary. }$$

c) What does the slope mean in this context?

Cell Design produces cell phone covers for all makes and models of cell phones. Cell Design sells 1,050,000 units each year at a price of $10 per unit and a contribution margin of 40%.

A survey of Cell Design customers over the past 12 months indicates that customers were very satisfied with the products but a disturbing number of customers were disappointed because the products they purchased did not fit their phones. They then had to hassle with returns and replacements.

Cell Design’s managers want to modify their production processes to develop products that more closely match Cell Design’s specifications because the quality control in place to prevent ill-fitting products from reaching customers is not working very well.

The current costs of quality are as follows:

$$\begin{array}{lr} \text{Prevention costs}& \$210,000\\ \text{Appraisal costs}& \$100,000\\ \text{Internal failure costs}&\\ \quad\text{Rework}& \$420,000\\ \quad\text{Scrap}& \$ 21,000\\ \text{External failure costs}&\\ \quad\text{Product replacements}& \$315,000\\ \quad\text{Lost sales from customer returns}& \$787,500\\ \text{The QC manager and controller have forecast the following}& \\ \quad\text{additional costs to modify the production process.}&\\ \text{CAD design improvement}& \$150,000\\ \text{Improve machine calibration to specifications}& \$137,500\\ \end{array}$$

1. Which cost of quality category are managers focusing on? Why?

2. If the improvements result in a 60% decrease in customer replacement cost and a 70% decrease in customer returns, what is the impact on the overall COQ and the company’s operating income? What should Cell Design do? Explain.

3. Calculate prevention, appraisal, internal failure, and external failure costs as a percentage of total quality costs and as a percentage of sales before and after the change in the production process. Comment briefly on your results.

Which statement best illustrates a negative correlation between the number of hours spent watching TV the week before an exam and the grade on that exam? a. Watching too much television leads to poor exam performance. b. Smart students watch less television. c. Viewing television interferes with a student's ability to prepare for the upcoming exam. d. Students who watch more television perform more poorly on their exams.