Chapter 2 Assignment

Identify whether the table given below is a frequency table or a frequency distribution. Selling Price Frequency 0 up to 3 5 3 up to 6 12 6 up to 9 23 9 up to 12 8 12 up to 15 2

Frequency Distribution

In a marketing study, 100 consumers were asked to select the best digital music player from the iPod Touch, Sony Walkman, and the Zune HD. To summarize the consumer responses with a frequency table, how many classes would the frequency table have?

Classes: 3

A pie chart shows the relative market share of cola products. The "slice" for Pepsi has a central angle of 90 degrees. What is its market share?

25%

2,100 frequent business travelers were asked which midwestern city they prefer: Indianapolis, Saint Louis, Chicago, or Milwaukee. 115 liked Indianapolis best, 400 liked Saint Louis, 1,365 liked Chicago, and the remainder preferred Milwaukee. Develop a frequency table and a relative frequency table to summarize this information.

City---------------Frequency---------Relative Frequency Indianapolis -------- 115 ----------------- 0.055 Saint Louis --------- 400 ----------------- 0.190 Chicago ----------- 1,365 ---------------- 0.650 Milwaukee --------- 220 ----------------- 0.105

A small business consultant is investigating the performance of several companies. The fourth-quarter sales for last year (in thousands of dollars) for the selected companies were: Company Fourth-Quarter Sales ($ thousands) Hoden Building Products $1,645.2 J&R Printing Incorporated $4,757.0 Long Bay Concrete Construction $8,913.0 Mancell Electric and Plumbing $627.1 Maxwell Heating and Air Conditioning $24,612.0 Mizelle Roofing & Sheet Metals $191.9 The consultant wants to include a chart in his report comparing the sales of the six companies. Identify a bar chart that compares the fourth-quarter sales of these companies.

Option B

A chain of sport shops catering to beginning skiers, headquartered in Aspen, Colorado, plans to conduct a study of how much a beginning skier spends on his or her initial purchase of equipment and supplies. Based on these figures, it wants to explore the possibility of offering combinations, such as a pair of boots and a pair of skis, to induce customers to buy more. A sample of 44 cash register receipts revealed these initial purchases: a-1. Find the smallest class interval. Use five classes. a-2. What would be a better class interval? b. Organize the data into a frequency distribution using a lower limit of $70.

a-1. Smallest class interval: $28.8 a-2. Better class interval: $30 b. Class Frequency $70 up to $100 --------- 4 $100 up to $130 -------- 12 $130 up to $160 -------- 12 $160 up to $190 -------- 8 $190 up to $220 -------- 8

Speedy Swift is a package delivery service that serves the greater Atlanta, Georgia, metropolitan area. To maintain customer loyalty, one of Speedy Swift's performance objectives is on-time delivery. To monitor its performance, each delivery is measured on the following scale: early (package delivered before the promised time), on-time (package delivered within 15 minutes of the promised time), late (package delivered more than 15 minutes past the promised time), or lost (package never delivered). Speedy Swift's objective is to deliver 99% of all packages either early or on-time. Another objective is to never lose a package. a. What kind of variable is delivery performance? What scale is used to measure delivery performance? b. Construct a frequency table for delivery performance for last month. c. Construct a relative frequency table for delivery performance last month.

a. Variable: Qualitative Scale: Ordinal b. Early ----- 21 On-time - 67 Late ------ 10 Lost ------ 2 c. Early --------- 0.21 On-time ----- 0.67 Late --------- 0.10 Lost --------- 0.02

The frequency distribution representing the number of frequent flier miles accumulated by employees at Brumley Statistical Consulting Incorporated is given below. a. Convert the frequency distribution to a cumulative frequency distribution. b. How many employees accumulated less than 10,000 miles? c. Outside of Connect, portray the cumulative distribution in the form of a cumulative frequency polygon. d. Based on the cumulative relative frequencies, about 75% of the employees accumulated how many miles or less?

a. Miles CF Less than 5 --------- 4 Less than 10 -------- 17 Less than 15 -------- 41 Less than 20 ------- 49 Less than 25 ------- 53 b. Number of employees: 17 d. Number of miles: 15.0

Midland National Bank selected a sample of 40 student checking accounts. Below are their end-of-the-month balances. a. Tally the data into a frequency distribution using $100 as a class interval and $0 as the starting point. b. Outside of Connect, draw a cumulative frequency polygon. c. The bank considers any student with an ending balance of $400 or more a "preferred customer." Estimate the percentage of preferred customers. d. The bank is also considering a service charge to the lowest 10% of the ending balances. What would you recommend as the cutoff point between those who have to pay a service charge and those who do not?

a. Frequency Cumulative Frequency 9 -------------------------- 9 6 -------------------------- 15 6 -------------------------- 21 6 -------------------------- 27 5 -------------------------- 32 2 -------------------------- 34 1 -------------------------- 35 3 -------------------------- 38 1 -------------------------- 39 1 -------------------------- 40 c. Preferred Customers 33% d. Less than $100

A set of data contains 53 observations. The minimum value is 42 and the maximum value is 129. The data are to be organized into a frequency distribution. a. How many classes would you suggest? b. What would you suggest as the lower limit of the first class?

a. Classes: 6 b. Lower Limit: 40

Molly's Candle Shop has several retail stores in the coastal areas of North and South Carolina. Many of Molly's customers ask her to ship their purchases. The following chart shows the number of packages shipped per day for the last 100 days. For example, the first class shows that there were 5 days when the number of packages shipped was 0 up to 5. a. What is this chart called? b. How many total days were packages shipped? c. What is the class interval? d. What is the number of packages shipped in the 10 up to 15 class? e. What is the relative frequency of packages shipped in the 10 up to 15 class? f. What is the midpoint of the 5 up to 10 class? g. On how many days were there 25 or more packages shipped?

a. Histogram b. Total Days: 100 c. Class interval: 5 d. Number of packages: 28 e. Relative frequency: .28 f. Midpoint: 7.5 g. Number of days: 13

According to the Pizza Today Magazine (https://www.pizzatoday.com/pizzeriarankings/2019-top-100-pizza-companies/), an estimate of pizza sales in the United States for the top 100 pizza companies was $44.5 million in 2019. Below are the top 5 companies with the number of franchise units and total gross sales in $ millions. a. Using the data set, compute the sales per unit. b. Construct a frequency distribution of companies based on total sales. c. Construct a frequency distribution of companies based on per unit sales.

a. Name Sales Per Unit Domino's -------------------- 0.837 Pizza Hut -------------------- 0.729 Littles Ceasar's Pizza ------------- 0.738 Papa John's International ----------- 0.721 Papa Murphy's International --------- 3.194 b. Sales ($ millions) Frequency 0 up to 1,950 ----------------- 96 1,950 up to 3,900 ------------- 1 3,900 up to 5,850 ------------- 1 5,850 up to 7,800 ------------- 0 7,800 up to 9,750 ------------- 0 9,750 up to 11,700 ------------- 0 11,700 up to 13,650 ------------ 2 c. Per unit sales ($ millions) Frequency 0.0 up to 0.6 ----------------- 15 0.6 up to 1.2 ----------------- 46 1.2 up to 1.8 ------------------ 19 1.8 up to 2.4 ----------------- 13 2.4 up to 3 ------------------- 4 3 up to 3.6 ------------------- 2 3.6 up to 4.2 ------------------ 1

The following is the number of minutes to commute from home to work for a group of 25 automobile executives. a. How many classes would you recommend? b. What class interval would you suggest? c. Organize the data and plot a frequency distribution on a piece of paper. Comment on the shape of the frequency distribution.

a. Number of classes: 5 b. Class interval: 4 c. It is fairly symmetric, with most of the values between 24 and 42.

The following frequency distribution reports the number of frequent flier miles, reported in thousands, for employees of Brumley Statistical Consulting Incorporated during the most recent quarter. a. How many employees were studied? b. What is the midpoint of the first class? c. Outside of Connect, construct a histogram. d. A frequency polygon is to be drawn. What are the coordinates of the plot for the third class?

a. Number of employees: 50 b. Midpoint 1.5 thousand frequent flier miles d. x= 7.5 y=25

The following cumulative frequency polygon shows the hourly wages of a sample of certified welders in the Atlanta, Georgia, area. a. How many welders were studied? b. What is the class interval? c. About how many welders earn less than $26 per hour? d. About 50% of the welders make less than what amount? e. Thirty of the welders studied made less than what amount? f. What percent of the welders make less than $25 per hour?

a. Number of welders: 50 b. Class interval: 5 c. Number of welders: 45 d. Amount: $13 e. Amount: $13 f. Percent of welders: 90%