Of the 281 players with at least 300 plate appearances in the 2008 Major League Baseball season, Jeff Mathis of the Los Angeles Angels had the lowest batting average ( $0.194)$ and Brad Wilkerson of the Toronto Blue Jays scored the fewest runs (21). Overall, the mean batting average was $0.272$, with a standard deviation of $0.027$, and the mean number of runs scored was $65.0$, with a standard deviation of 23.6. Which PERFORMANCE was worse? Explain, using the methods of this chapter.

Performance of stock screeners. Refer to the American Association of Individual Investors (AAII) statistics on stock screeners, Exercise $2.44$ (p. 71). Annualized percentage return on investment (as compared to the Standard & Poor's 500 Index) for 13 randomly selected stock screeners are reproduced in the table. Find the range of the data for the 13 stock screeners. Give the units of measurement for the range.

The following data on x = score on a measure of test anxiety and y = exam score for a sample of n = 9 students are consistent with summary quantities given in the paper "Effects of Humor on Test Anxiety and Performance" (Psychological Reports 11999]: 1203-1212): Higher values for x indicate higher levels of anxiety. a. Construct a scatterplot, and comment on the features of the plot. b. Does there appear to be a linear relationship between the two variables? How would you characterize the relationship? c. Compute the value of the correlation coefficient. Is the value of r consistent with your answer to Part (b)? d. Is it reasonable to conclude that test anxiety caused poor exam performance? Explain.

$$\begin{matrix} \text{x} & \text{23} & \text{14} & \text{14} & \text{0} & \text{17} & \text{20} & \text{20} & \text{15} & \text{21}\\ \text{y} & \text{43} & \text{59} & \text{48} & \text{77} & \text{50} & \text{52} & \text{46} & \text{51} & \text{51}\\ \end{matrix}$$

Consider the piping system of the figure, with all the dimensions, parameters, minor loss coefficients, etc., of the earlier problem. The pump's performance follows a parabolic curve fit, $H_{\text {wailate }}=H_0-a \dot{V}^2$, where $H_0=19.8 \mathrm{~m}$ is the pump's shutoff head, and $a=0.00426 \mathrm{~m} /(\mathrm{Lpm})^2$ is a coefficient of the curve fit. Find the operating volume flow rate $\dot{V}$ in Lpm (liters per minute), and compare it with that of the earlier problem. Discuss.

Determine the optimal control signal u for the system $\dot{\mathbf{x}}=\mathbf{A x}+\mathbf{B} u$ defined by

$$\mathbf{A}=\left[\begin{array}{rr}{0} & {1} \\ {0} & {-1}\end{array}\right], \quad \mathbf{B}=\left[\begin{array}{l}{0} \\ {1}\end{array}\right]$$

. Where such that the following performance index is minimized: $J=\int_{0}^{\infty}\left(\mathbf{x}^{T} \mathbf{x}+u^{2}\right) d t$

The following data pertain to the Waikiki Sands Hotel for the month of March.

$$\begin{array}{lcc} & \textbf{ Flexible Budget March } & \textbf{ Actual Results March } \\ & \textbf{ (in thousands)* } & \textbf{ (in thousands)* } \\ \text{ Banquets and Catering } & \$ 650 & \$ 658 \\ \text{ Restaurants } & 1,800 & 1,794 \\ \text{ Kitchen staff wages } & (85) & (86) \\ \text{ Food } & (690) & (690) \\ \text{ Paper products } & (125) & (122) \\ \text{ Variable overhead } & (75) & (78) \\ \text{ Fixed overhead } & (90) & (93) \end{array}$$

$^*$Numbers without parentheses denote profit; numbers with parentheses denote expenses.

Prepare a March performance report. The report should have six numerical columns with headings analogous. Your performance report should cover only the Food and Beverage Department and the Kitchen. Draw arrows to show the relationships between the numbers in the report. For the year-to-date columns in your report, use the previous data given. You will need to update those figures using the March data given above.

The following experiment compares the performance of linear probing and quadratic probing. You will need a list of 500 names or user names that can be obtained from your instructor or from a system administrator. Implement a hash table of size 1000. Count the number of collisions that occur for both linear probing and quadratic probing when 500 names are added to the table. Repeat the experiment for tables of size 950, 900, 850, 800, 750, 700, 650, and 600.

An engineer living at an elevation of $2500 \mathrm{ft}$ is conducting experiments to verify predictions of glider performance. To process data, the density of ambient air is needed. The engineer measures temperature $\left(74.3^{\circ} \mathrm{F}\right)$ and atmospheric pressure $(27.3$ inches of mercury). Compute density in units of $\mathrm{kg} / \mathrm{m}^3$. Compare the calculated value with data from the mentioned table and make a recommendation about the effects of elevation on density; that is, are the effects of elevation significant?

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.

A one-sided confidence interval for p can be expressed as $p<\hat{p}+E \text { or } p>\hat{p}-E$, where the margin of error E is modified by replacing $z_{\alpha / 2}$ with $z_{\alpha}$. If Air America wants to report an on-time performance of at least x percent with 95% confidence, construct the appropriate one-sided confidence interval and then find the percent in question. Assume that a simple random sample of 750 flights results in 630 that are on time.

The following selected accounts appear in Shaw Company's unadjusted trial balance at December 31, 2018, the end of its fiscal year (all accounts have normal balances).

$$\begin{array}{lrlr} \text{ Prepaid advertising }& \$ 1,200 &\text{ Performance obligations }& \$ 5,400 \\ \text{ Wages expense }& 43,800 &\text{ Service fees revenue }& 87,000 \\ \text{ Prepaid insurance }& 3,420 &\text{ Rental income }& 4,900 \\ \end{array}$$

Prepare its adjusting entries at December 3 I. 2018. (1) using the financial statement effects template. and (2) in journal entry form using the following additional information.

1. Prepaid advertising at December 31 is $800.
2. Unpaid and unrecorded wages earned by employees in December are$1,300.
3. Prepaid insurance at December 31 is $2,280.
4. Perfomance obligations represent service fees collected in advance of when the services are provided to customers. Performance obligations at December 31 are$3,000.
5. Rent revenue of$ 1,000 owed by a tenant is not recorded at December 31 .

The following performance scores have been recorded for 25 job applicants who have taken a preemployment aptitude test administered by the company to which they applied:

$$\begin{array}{rrrrrrrrr}66.6 & 75.4 & 66.7 & 59.2 & 78.5 & 80.8 & 79.9 & 87.0 & 94.1 \\ 70.2 & 92.8 & 86.9 & 92.8 & 66.8 & 65.3 & 100.8 & 76.2 & 87.8 \\ 71.0 & 92.9 & 97.3 & 82.5 & 78.5 & 72.0 & 76.2 & & \end{array}$$

Construct a frequency distribution and a histogram for these data.

Apple Inc. is a multinational technology company that designs, develops, manufactures, and sells innovative consumer electronics products and services around the globe. Its products include laptop (e.g., MacBook) and desktop (e.g., iMac) computers, mobile phones (e.g., iPhone), MP3 players (e.g., iPod nano), tablets (e.g., iPad), and various other devices (e.g., Apple Watch, Apple TV, etc.). Its services include personalized, onsite (e.g., at Apple Store) group and individual training sessions, fitness notifications (e.g., from Apple Watch), audio and video streaming, and online and phone help services. Founded in Cupertino, California, in 1976, Apple has been a success as measured by almost any standard. As one example, Apple recently reported the largest ever recorded quarterly profit by a single public corporation! While a history of such amazing performance is admirable, publicly traded companies must always focus on the future and convince investors, and various other key stakeholders, that they will maintain-or even improve-performance in the future.

1. Identify the five most important stakeholders for Apple Inc. Briefly explain how you selected these five stakeholders and why they are important to Apple.

2. Describe the specific approach you believe Apple’s management team should employ to engage with each of the five stakeholders you identified in Requirement 1. For each stakeholder engagement approach, briefly explain the type of information or performance measures that Apple’s management team should provide to the stakeholder (or receive from the stakeholder) to improve the effectiveness of the engagement.

Refrigerant 134 a enters the compressor of a vapor compression heat pump at $30 \mathrm{lbf} /$ in. $^2, 20^{\circ} \mathrm{F}$ and is compressed adiabatically to $200\ \mathrm{lbf} / \mathrm{in}^2, 160^{\circ} \mathrm{F}$. Liquid enters the expansion valve at $200\ \mathrm{lbf} / \mathrm{in}^2, 120^{\circ} \mathrm{F}$. At the valve exit, the pressure is $30 \mathrm{lbf/in.}^2$ Find

(a) the isentropic compressor efficiency.

(b) the coefficient of performance.