The days to maturity for a sample of five money market funds are shown here. The dollar amounts invested in the funds are provided. Use the weighted mean to determine the mean number of days to maturity for dollars invested in these five money market funds.

$$\begin{matrix} \text{Days to Maturity} & \text{Dollar Value (\$millions)}\\ \text{20} & \text{20}\\ \text{12} & \text{30}\\ \text{7} & \text{10}\\ \text{5} & \text{15}\\ \text{6} & \text{10}\\ \end{matrix}$$

Annual revenue for Corning Supplies grew by 5.5% in 2007; 1.1% in 2008; -3.5% in 2009; -1.1% in 2010; and 1.8% in 2011. What is the mean growth annual rate over this period?

Most Admired Companies. Fortune magazine's list of the world's most admired companies for 2014 is provided in the data contained in the file AdmiredCompanies (Fortune magazine website). The data in the column labeled "Return" shows the one-year total return $(\%)$ for the top-ranked 50 companies. For the same time period the $\mathrm{S} \& \mathrm{P}$ average return was $18.4 \%$.

a. Compute the median return for the top-ranked 50 companies,

The Los Angeles Times regularly reports the air quality index for various areas of Southern California. A sample of air quality index values for Pomona provided the following data: 28, 42, 58, 48, 45, 55, 60, 49, and 50.

Compute the range and interquartile range.

An investor is considering six different money market funds. The average number of days to maturity for each of these funds is as follows:

$$41,39,35,35,33,38$$

Two of these funds are to be chosen at random.

a. How many possible samples of two funds are there?

b. List all possible samples.

c. Find the probability function of the sampling distribution of the sample means.

d. Verify directly that the mean of the sampling distribution of the sample means is equal to the population mean.

Public transportation and the automobile are two methods an employee can use to get towork each day. Samples of times recorded for each method are shown. Times are in minutes.

$$\begin{matrix} \text{Public Transportation:} & \text{28} & \text{29} & \text{32} & \text{37} & \text{33} & \text{25} & \text{29} & \text{32} & \text{41} & \text{34}\\ \text{Automobile:} & \text{29} & \text{31} & \text{33} & \text{32} & \text{34} & \text{30} & \text{31} & \text{32} & \text{35} & \text{33}\\ \end{matrix}$$

Which method of transportation should be preferred? Explain.

Find the weighted mean of the data. For the month of April, a checking account has a balance of $523 for 24 days,$2415 for 2 days, and $250 for 4 days. What is the account’s mean daily balance for April?

Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the range and interquartile range.

Heavenly Chocolates manufactures and sells quality chocolate products at its plant and retail store located in Saratoga Springs, New York. Two years ago the company developed a website and began selling its products over the Internet. Website sales have exceeded the company's expectations, and management is now considering strategies to increase sales even further. To learn more about the website customers, a sample of 50 Heavenly Chocolate transactions was selected from the previous month's sales. Data showing the day of the week each transaction was made, the type of browser the customer used, the time spent on the website, the number of website pages viewed, and the amount spent by each of the 50 customers are contained in the DATAfile named Shoppers. A portion of the data is shown in Table.

$$\begin{array}{c|l|l|c|c|c} \text { Customer } & \text { Day } & \text { Browser } & \text { Time (min) } & \begin{array}{c} \text { Pages } \\ \text { Viewed } \end{array} & \begin{array}{c} \text { Amount } \\ \text{ Spent (\$) } \end{array} \\ 1 & \text { Mon } & \text { Internet Explorer } & 12.0 & 4 & 54.52 \\ 2 & \text { Wed } & \text { Other } & 19.5 & 6 & 94.90 \\ 3 & \text { Mon } & \text { Internet Explorer } & 8.5 & 4 & 26.68 \\ 4 & \text { Tue } & \text { Firefox } & 11.4 & 2 & 44.73 \\ 5 & \text { Wed } & \text { Internet Explorer } & 11.3 & 4 & 66.27 \\ 6 & \text { Sat } & \text { Firefox } & 10.5 & 6 & 67.80 \\ 7 & \text { Sun } & \text { Internet Explorer } & 11.4 & 2 & 36.04 \\ . & \cdot & . & . & . & . \\ . & \cdot & . & . & . & . \\ . & \cdot & . & . & . \\ 48 & \text { Fri } & \text { Internet Explorer } & 9.7 & 5 & 103.15 \\ 49 & \text { Mon } & \text { Other } & 7.3 & 6 & 52.15 \\ 50 & \text { Fri } & \text { Internet Explorer } & 13.4 & 3 & 98.75 \end{array}$$

Heavenly Chocolates would like to use the sample data to determine if online shoppers who spend more time and view more pages also spend more money during their visit to the website. The company would also like to investigate the effect that the day of the week and the type of browser have on sales.

Use the methods of descriptive statistics to learn about the customers who visit the Heavenly Chocolate website. Include the following in your report.

3. Summarize the frequency, the total dollars spent, and the mean amount spent per transaction for each type of browser. What observations can you make about Heavenly Chocolates' business based on the type of browser? Discuss.

Scores turned in by an amateur golfer at the Bonita Fairways Golf Course in Bonita Springs, Florida, during 2005 and 2006 are as follows:

$$\begin{matrix} \text{2005 Season:} & \text{74} & \text{78} & \text{79} & \text{77} & \text{75} & \text{73} & \text{75} & \text{77}\\ \text{2006 Season:} & \text{71} & \text{70} & \text{75} & \text{77} & \text{85} & \text{80} & \text{71} & \text{79}\\ \end{matrix}$$

Use the mean and standard deviation to evaluate the golfer’s performance over the two-year period.

Public transportation and the automobile are two methods an employee can use to get towork each day. Samples of times recorded for each method are shown. Times are in minutes.

$$\begin{matrix} \text{Public Transportation:} & \text{28} & \text{29} & \text{32} & \text{37} & \text{33} & \text{25} & \text{29} & \text{32} & \text{41} & \text{34}\\ \text{Automobile:} & \text{29} & \text{31} & \text{33} & \text{32} & \text{34} & \text{30} & \text{31} & \text{32} & \text{35} & \text{33}\\ \end{matrix}$$

Compute the sample standard deviation for each method.

GMAT Exam Scores. The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for admission to graduate study in business. The average GMAT score is 547 (Magoosh website). Assume that GMAT scores are bell-shaped with a standard deviation of 100 .

b. What percentage of GMAT scores are 747 or higher?

Heavenly Chocolates manufactures and sells quality chocolate products at its plant and retail store located in Saratoga Springs, New York. Two years ago the company developed a website and began selling its products over the Internet. Website sales have exceeded the company's expectations, and management is now considering strategies to increase sales even further. To learn more about the website customers, a sample of 50 Heavenly Chocolate transactions was selected from the previous month's sales. Data showing the day of the week each transaction was made, the type of browser the customer used, the time spent on the website, the number of website pages viewed, and the amount spent by each of the 50 customers are contained in the DATAfile named Shoppers. A portion of the data is shown in Table.

$$\begin{array}{c|l|l|c|c|c} \text { Customer } & \text { Day } & \text { Browser } & \text { Time (min) } & \begin{array}{c} \text { Pages } \\ \text { Viewed } \end{array} & \begin{array}{c} \text { Amount } \\ \text{ Spent (\$) } \end{array} \\ 1 & \text { Mon } & \text { Internet Explorer } & 12.0 & 4 & 54.52 \\ 2 & \text { Wed } & \text { Other } & 19.5 & 6 & 94.90 \\ 3 & \text { Mon } & \text { Internet Explorer } & 8.5 & 4 & 26.68 \\ 4 & \text { Tue } & \text { Firefox } & 11.4 & 2 & 44.73 \\ 5 & \text { Wed } & \text { Internet Explorer } & 11.3 & 4 & 66.27 \\ 6 & \text { Sat } & \text { Firefox } & 10.5 & 6 & 67.80 \\ 7 & \text { Sun } & \text { Internet Explorer } & 11.4 & 2 & 36.04 \\ . & \cdot & . & . & . & . \\ . & \cdot & . & . & . & . \\ . & \cdot & . & . & . \\ 48 & \text { Fri } & \text { Internet Explorer } & 9.7 & 5 & 103.15 \\ 49 & \text { Mon } & \text { Other } & 7.3 & 6 & 52.15 \\ 50 & \text { Fri } & \text { Internet Explorer } & 13.4 & 3 & 98.75 \end{array}$$

Heavenly Chocolates would like to use the sample data to determine if online shoppers who spend more time and view more pages also spend more money during their visit to the website. The company would also like to investigate the effect that the day of the week and the type of browser have on sales.

Use the methods of descriptive statistics to learn about the customers who visit the Heavenly Chocolate website. Include the following in your report.

2. Summarize the frequency, the total dollars spent, and the mean amount spent per transaction for each day of the week. What observations can you make about Heavenly Chocolates' business based on the day of the week? Discuss.

Public transportation and the automobile are two methods an employee can use to get towork each day. Samples of times recorded for each method are shown. Times are in minutes.

$$\begin{matrix} \text{Public Transportation:} & \text{28} & \text{29} & \text{32} & \text{37} & \text{33} & \text{25} & \text{29} & \text{32} & \text{41} & \text{34}\\ \text{Automobile:} & \text{29} & \text{31} & \text{33} & \text{32} & \text{34} & \text{30} & \text{31} & \text{32} & \text{35} & \text{33}\\ \end{matrix}$$

Develop a box plot for each method. Does a comparison of the box plots support your conclusion?