Statistical Techniques in Business and Economics
18th Edition
ISBN: 9781260579611
Author: Douglas Lind; William Marchal; Samuel Wathen
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 2, Problem 48CE
To determine
To summarize: The data and write a paragraph that describes the findings.
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If we increase our food intake, we generally gain weight. Nutrition scientists can calculate the amount of weight gain that would be associated with a given increase in calories. In one study, 16 nonobese adults, aged 25 to 36 years, were fed 1000 calories per day in excess of the calories needed to maintain a stable body weight. The subjects maintained this diet for 8 weeks, so they consumed a total of 56,000 extra calories. According to theory, 3500 extra calories will translate into a weight gain of 1 pound. Therefore, we expect each of these subjects to gain 56,000/3500 = 16 pounds (lb). Here are the weights before and after the 8-week period, expressed in kilograms (kg).
Subject
1
2
3
4
5
6
7
8
Weight before
55.7
54.9
59.6
62.3
74.2
75.6
70.7
53.3
Weight after
61.7
58.7
66.0
66.2
79.1
82.2
74.2
59.3
Subject
9
10
11
12
13
14
15
16
Weight before
73.3
63.4
68.1
73.7
91.7
55.9
61.7
57.8
Weight after
79.1
66.1
73.5
76.8
93.0
63.0
68.1
60.2
Find the mean (x bar) and the…
If we increase our food intake, we generally gain weight. Nutrition scientists can calculate the amount of weight gain that would be associated with a given increase in calories. In one study, 16 nonobese adults, aged 25 to 36 years, were fed 1000 calories per day in excess of the calories needed to maintain a stable body weight. The subjects maintained this diet for 8 weeks, so they consumed a total of 56,000 extra calories. According to theory, 3500 extra calories will translate into a weight gain of 1 pound. Therefore, we expect each of these subjects to gain 56,000/3500 = 16 pounds (lb). Here are the weights before and after the 8-week period, expressed in kilograms (kg).
Subject
1
2
3
4
5
6
7
8
Weight before
55.7
54.9
59.6
62.3
74.2
75.6
70.7
53.3
Weight after
61.7
58.7
66.0
66.2
79.1
82.2
74.2
59.3
Subject
9
10
11
12
13
14
15
16
Weight before
73.3
63.4
68.1
73.7
91.7
55.9
61.7
57.8
Weight after
79.1
66.1
73.5
76.8
93.0
63.0
68.1
60.2
Report the 95% confidence…
Because of new federal regulations on pollution, a chemical plant introduced a new, more expensive process to supplement or replace an older process used in the production of a particular chemical. The older process emitted 40 grams
of sulfur dioxide and 120 grams of particulate matter into the atmosphere for each gallon of chemical produced. The new process emits 5 grams of sulfur dioxide and 40 grams of particulate matter for each gallon produced. The company
makes a profit of 80¢ per gallon and 20¢ per gallon on the old and new processes, respectively. Answer parts (A) through (C) below.
(A) If the government allows the plant to emit no more than 36,000 grams of sulfur dioxide and 90,000 grams of particulate matter daily, how many gallons of the chemical should be produced by each process to maximize daily profit? Wha
is the maximum daily profit? Summarize the model,
Maximize
Objective function
subject to
V 36,000
Sulfur dioxide constraint
V 90,000
Particulate constraint
х, у 2…
Chapter 2 Solutions
Statistical Techniques in Business and Economics
Ch. 2 - DeCenzo Specialty Food and Beverage Company has...Ch. 2 - A pie chart shows the relative market share of...Ch. 2 - In a marketing study, 100 consumers were asked to...Ch. 2 - A total of 1,000 residents in Minnesota were asked...Ch. 2 - Two thousand frequent business travelers are asked...Ch. 2 - Wellstone Inc. produces and markets replacement...Ch. 2 - A small business consultant is investigating the...Ch. 2 - In the first quarter of last year, the 11 members...Ch. 2 - Prob. 3SRCh. 2 - A set of data consists of 38 observations. How...
Ch. 2 - A set of data consists of 45 observations between...Ch. 2 - A set of data consists of 230 observations between...Ch. 2 - A set of data contains 53 observations. The...Ch. 2 - Wachesaw Manufacturing Inc. produced the following...Ch. 2 - The Quick Change Oil Company has a number of...Ch. 2 - The manager of the BiLo Supermarket in Mt....Ch. 2 - The food services division of Cedar River...Ch. 2 - The annual imports of a selected group of...Ch. 2 - Mollys Candle Shop has several retail stores in...Ch. 2 - The following chart shows the number of patients...Ch. 2 - The following frequency distribution reports the...Ch. 2 - Prob. 18ECh. 2 - A sample of the hourly wages of 15 employees at...Ch. 2 - The following cumulative frequency and the...Ch. 2 - The cumulative frequency and the cumulative...Ch. 2 - The frequency distribution representing the number...Ch. 2 - Prob. 22ECh. 2 - Describe the similarities and differences of...Ch. 2 - Describe the similarities and differences between...Ch. 2 - Alexandra Damonte will be building a new resort in...Ch. 2 - Prob. 26CECh. 2 - A data set consists of 83 observations. How many...Ch. 2 - A data set consists of 145 observations that range...Ch. 2 - The following is the number of minutes to commute...Ch. 2 - The following data give the weekly amounts spent...Ch. 2 - A social scientist is studying the use of iPods by...Ch. 2 - David Wise handles his own investment portfolio,...Ch. 2 - Prob. 33CECh. 2 - The monthly issues of the Journal of Finance are...Ch. 2 - The following histogram shows the scores on the...Ch. 2 - The following chart summarizes the selling price...Ch. 2 - A chain of sport shops catering to beginning...Ch. 2 - Prob. 38CECh. 2 - A recent survey showed that the typical American...Ch. 2 - Midland National Bank selected a sample of 40...Ch. 2 - Residents of the state of South Carolina earned a...Ch. 2 - A recent study of home technologies reported the...Ch. 2 - Merrill Lynch recently completed a study regarding...Ch. 2 - Prob. 44CECh. 2 - Refer to the following chart: a. What is the name...Ch. 2 - The following chart depicts the annual revenues,...Ch. 2 - Prob. 47CECh. 2 - Prob. 48CECh. 2 - One of the most popular candies in the United...Ch. 2 - The number of families who used the Minneapolis...Ch. 2 - Refer to the North Valley Real Estate data that...Ch. 2 - Prob. 52DACh. 2 - Refer to the Lincolnville School District bus...
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