Recently, due to low interest rates, many homowners refinanced theirhome mortgages. Linda Lahey is a mortgage officer at Down River Federal Savings and Loan. Below is the amount refinanced for 20 loans she processed last week. The data are reported in thousands of dollars and arranged from smallest to largest. Plot a box plot of the data.

$$\begin{array}{|rrrrrrrrr|} \hline 59.2 & 59.5 & 61.6 & 65.5 & 66.6 & 72.9 & 74.8 & 77.3 & 79.2 \\ 83.7 & 85.6 & 85.8 & 86.6 & 87.0 & 87.1 & 90.2 & 93.3 & 98.6 \\ 100.2 & 100.7 & & & & & & & \\ \hline \end{array}$$

The American Society of PeriAnesthesia Nurses (ASPAN; www.aspan.org) is a national organization serving nurses practicing in ambulatory surgery, preanesthesia, and postanesthesia care. The organization consists of the 40 components listed below.Use statistical software to answer.Find the coefficient of skewness, using the software.Compute the first and third quartiles using formula (4–1).

$$\begin{array}{|lc|} \hline \text { State/Region } & \text { Membership } \\ \hline \text { Alabama } & 95 \\ \text { Arizona } & 399 \\ \text { Maryland, Delaware, DC } & 531 \\ \text { Connecticut } & 239 \\ \text { Florida } & 631 \\ \text { Georgia } & 384 \\ \text { Hawaii } & 73 \\ \text { Illinois } & 562 \\ \text { Indiana } & 270 \\ \text { lowa } & 117 \\ \text { Kentucky } & 197 \\ \text { Louisiana } & 258 \\ \text { Michigan } & 411 \\ \text { Massachusetts } & 480 \\ \text { Maine } & 97 \\ \text { Minnesota, Dakotas } & 289 \\ \text { Missouri, Kansas } & 282 \\ \text { Mississippi } & 90 \\ \text { Nebraska } & 115 \\ \text { North Carolina } & 542 \\ \text { Nevada } & 106 \\ \text { New Jersey, Bermuda } & 517 \\ \text { Alaska, Idaho, Montana, } & \\ \text { Oregon, Washington } & 708 \\ \text { New York } & 891 \\ \text { Ohio } & 708 \\ \text { Oklahoma } & 171 \\ \text { Arkansas } & 68 \\ \text { California } & 1,165 \\ \text { New Mexico } & 79 \\ \text { Pennsylvania } & 575 \\ \text { Rhode Island } & 53 \\ \text { Colorado } & 409 \\ \text { South Carolina } & 237 \\ \text { Texas } & 1,026 \\ \text { Tennessee } & 167 \\ \text { Utah } & 67 \\ \text { Virginia } & 414 \\ \text { Vermont, } & \\ \text { New Hampshire } & 144 \\ \text { Wisconsin } & 311 \\ \text { West Virginia } & 62 \\ \hline \end{array}$$

$$P(A_1) = .60, P(A_2) = .40, P(B_1 | A_1) = .05$$

, and

$$P(B_1 | A_2) = .10.$$

Use Bayes’ theorem to determine

$$P(A_1 | B_1).$$

A storage tank for butane gas is to be built in the shape of a right circular cylinder of altitude 12 ft, with a half sphere attached to each end. If x represents the radius of each half sphere, what radius should be used to cause the volume of the tank to be $144 \pi \mathrm{ft}^{3}$?

A sample of 28 time-shares in the Orlando, Florida, area revealed the following daily charges for a one-bedroom suite. For convenience, the data are ordered from smallest to largest. Construct a box plot to represent the data. Comment on the distribution. Be sure to identify the first and third quartiles and the median.

$$\begin{array}{|rrrrrrr|} \hline\$ 116 & \$ 121 & \$ 157 & \$ 192 & \$ 207 & \$ 209 & \$ 209 \\ 229 & 232 & 236 & 236 & 239 & 243 & 246 \\ 260 & 264 & 276 & 281 & 283 & 289 & 296 \\ 307 & 309 & 312 & 317 & 324 & 341 & 353 \\ \hline \end{array}$$

Kevin Horn is the national sales manager for National Textbooks Company. He has a sales staff of 40 who visit college professors all over the United States. Each Saturday morning, he requires his sales staff to send him a report. This report includes, among other things, the number of professors visited during the previous week.Table below, ordered from smallest to largest, are the number of visits last week.Calculate the 33rd percentile.

$$\begin{array}{|llllllllllllllllllll|} \hline 38 & 40 & 41 & 45 & 48 & 48 & 50 & 50 & 51 & 51 & 52 & 52 & 53 & 54 & 55 & 55 & 55 & 56 & 56 & 57 \\ 59 & 59 & 59 & 62 & 62 & 62 & 63 & 64 & 65 & 66 & 66 & 67 & 67 & 69 & 69 & 71 & 77 & 78 & 79 & 79 \\ \hline \end{array}$$

Horwege Electronics Inc. purchases TV picture tubes from four different suppliers. Tyson Wholesale supplies 20 percent of the tubes, Fuji Importers 30 percent, Kirkpatricks 25 percent,and Parts Inc. 25 percent. Tyson Wholesale tends to have the best quality, as only 3 percent of its tubes arrive defective. Fuji Importers’ tubes are 4 percent defective, Kirkpatricks’ 7 percent, and Parts Inc. are 6.5 percent defective.a. What is the overall percent defective? b. A defective picture tube was discovered in the latest shipment. What is the probability that it came from Tyson Wholesale?

The Director of Planning for Devine Dining company wishes to study the relationship between the gender of a guest and whether the guest orders dessert. To investigate the relationship, the manager collected the following information on 200 recent customers.What is the level of measurement of the two variables?

The Director of Planning for Devine Dining company wishes to study the relationship between the gender of a guest and whether the guest orders dessert. To investigate the relationship, the manager collected the following information on 200 recent customers. What is the table called?

Ski Resorts of Vermont Inc. is considering a merger with Gulf Shores Beach Resorts compay of Alabama. The board of directors surveyed 50 stockholders concerning their position on the merger. The results are reported below.What level of measurement is used in this table?

Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the advertising expenditures for 60 manufacturing companies located in the Southwest. Estimate the mean and the standard deviation of advertising expenses.

$$\begin{array}{cc} \begin{array}{c} \text { Advertising Expenditure } \\ \text{ (\$ } \text { millions) } \end{array} & \begin{array}{c} \text { Number of } \\ \text { Companies } \end{array} \\ 25 \text { up to } 35 & 5 \\ 35 \text { up to } 45 & 10 \\ 45 \text { up to } 55 & 21 \\ 55 \text { up to } 65 & 16 \\ 65 \text { up to } 75 & \frac{8}{60} \\ \text { Total } \end{array}$$

The Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from smallest to largest, is the time, in days, for a sample of the Thomas Supply Company Inc. invoices.

$$\begin{array}{lllllllllllllll} 13 & 13 & 13 & 20 & 26 & 27 & 31 & 34 & 34 & 34 & 35 & 35 & 36 & 37 & 38 \\ 41 & 41 & 41 & 45 & 47 & 47 & 47 & 50 & 51 & 53 & 54 & 56 & 62 & 67 & 82 \end{array}$$

a. Determine the first and third quartiles.

b. Determine the second decile and the eighth decile.

c. Determine the 67th percentile.

The personnel files of all eight employees at the Pawnee location of Acme Carpet Cleaners Inc. revealed that during the last 6-month period they lost the following number of days due to illness:

$$\begin{array}{|llllllll|} \hline2 & 0 & 6 & 3 & 10 & 4 & 1 & 2 \\ \hline \end{array}$$

All eight employees during the same period at the Chickpee location of Acme Carpet Cleaners revealed they lost the following number of days due to illness:

$$\begin{array}{|llllllll|} \hline2 & 0 & 1 & 0 & 5 & 0 & 1 & 0 \\ \hline \end{array}$$

As the director of human resources, compare the two locations. What would you recommend?

The given values are the salaries, in $\$ 000$, for a sample of 15 chief financial officers in the electronics industry.Calculate the coefficient of skewness using Pearson’s method?

$$\begin{array}{|rrrrrr|} \hline \$ 516.0 & \$ 548.0 & \$ 566.0 & \$ 534.0 & \$ 586.0 & \$ 529.0 \\ 546.0 & 523.0 & 538.0 & 523.0 & 551.0 & 552.0 \\ 486.0 & 558.0 & 574.0 & & & \\ \hline \end{array}$$