Statistics for Management and Economics (Book Only)
Statistics for Management and Economics (Book Only)
11th Edition
ISBN: 9781337296946
Author: Gerald Keller
Publisher: Cengage Learning
Question
Book Icon
Chapter 14.1, Problem 18E

(a)

To determine

Derive the data.

(a)

Expert Solution
Check Mark

Explanation of Solution

The null and alternative hypothesis can be written as follows:

H0:μ1=μ2=μ3H1:At least two means differ

Age Rejection region can be written as follows:

F>Fα,k-1,n-k=F0.05,2,1472.61

SST can be calculated as follows:

SST=nj(xj¯x¯)=(63(31.336.23)2+81(34.4236.23)2+40(37.3836.23)2+111(39.9336.23)2)=3,366

SSE can be calculated as follows:

SSE=(nj1)sj2=(631)28.34+(811)23.2+(401)31.16+(1111)72.03=12,752

Thus, the value of SSE is 12,752

Table -1 shows the ANOVA Table as follows:

Table -1

SourceDegree of freedomSum of squareMean squareF
Treatmentsk-1 = 36SST = 3,3661,12225.60
Errorn- k = 291SSE = 12,75243.82 

Thus, the estimated F- value is 25.6 and p-value is 0. Here, there is an adequate evidence to infer that the age of the four group of cereal buyers differ.

(b)

To determine

Explain the required conditions for the test conducted.

(b)

Expert Solution
Check Mark

Explanation of Solution

The null and alternative hypothesis can be written as follows:

H0:μ1=μ2=μ3H1:At least two means differ

Income rejection region can be written as follows:

F>Fα,k-1,n-k=F0.05,3,2912.61

SST can be calculated as follows:

SST=nj(xj¯x¯)=(63(37.2239.97)2+81(38.9139.97)2+40(41.4839.97)2+111(41.7539.97)2)=1,008

SSE can be calculated as follows:

SSE=(nj1)sj2=(631)39.8+(811)40.85+(401)61.38+(1111)46.59=13,256

Thus, the value of SSE is 13,256

Table -1 shows the ANOVA Table as follows:

Table -2
SourceDegree of freedomSum of squareMean squareF
Treatmentsk-1 = 3SST = 1,0083367.37
Errorn- k = 291SSE = 13,25645.55 

Thus, the estimated F- value is 7.37 and p-value is 0.0001. Here, there is an adequate evidence to conclude that theincome differ between he four groups of cereal buyers.

(c)

To determine

Explain the required conditions for the test conducted.

(c)

Expert Solution
Check Mark

Explanation of Solution

The null and alternative hypothesis can be written as follows:

H0:μ1=μ2=μ3H1:At least two means differ

Education rejection region can be written as follows:

F>Fα,k-1,n-k=F0.05,3,2912.61

SST can be calculated as follows:

SST=nj(xj¯x¯)=(63(11.7511.98)2+81(12.4111.98)2+40(11.7311.98)2+111(11.8911.98)2)=21.71

SSE can be calculated as follows:

SSE=(nj1)sj2=(631)3.93+(811)3.39+(401)4.26+(1111)4.3=1,154

Thus, the value of SSE is 1,154

Table -1 shows the ANOVA Table as follows:

Table -2
SourceDegree of freedomSum of squareMean squareF
Treatmentsk-1 = 3SST = 21.717.241.82
Errorn- k = 291SSE = 1,1543.697 

Thus, the estimated F- value is 1.82 and p-value is 0.1428. Here, there is not an adequate evidence to conclude that the educationdiffer between he four groups of cereal buyers.

(d)

To determine

Summarize the findings.

(d)

Expert Solution
Check Mark

Explanation of Solution

Using F – tests and descriptive statistics, the mean age and the mean household income are in ascending order. Example, sweet smacks buyers are younger and earn less than the buyers of the other three cereals. Thus, individual ‘C’ purchases are older and earn the most.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
10.As COVID-19 came about, consumers' relationship with toilet paper changed and they found themselves desiring more than usual. Eventually, toilet paper producers saw an opportunity to make more money and meet the growing demand. Which best describes this scenario as depicted in Snell's 2020 article? A. The demand curve shifted left and the supply curve shifted left B. The demand curve shifted left and the supply curve shifted right C. The demand curve shifted right and the supply curve shifted left D. The demand curve shifted right and the supply curve shifted right
5. Supply and Demand. The graph below shows supply and demand curves for annual medical office visits. Using this graph, answer the questions below. P↑ $180 $150 $120 $90 $60 $30 4 8 12 16 20 24 28 32 36 a. If the market were free from government regulation, what would be the equilibrium price and quantity? b. Calculate total expenditures on office visits with this equilibrium price and quantity. c. If the government subsidized office visits and required that all consumers were to pay $30 per visit no matter what the actual cost, how many visits would consumers demand? d. What payment per visit would doctors require in order to supply that quantity of visits? e. Calculate total expenditures on office visits under the condition of this $30 co- payment. f. How do total expenditures with a co-payment of $30 compare to total expenditures without government involvement? Provide a numerical answer. Show your work.
4. The table below shows the labor requirements for Mr. and Mrs. Howell for pineapples and coconuts. Which is the most accurate statement? A. Mrs. Howell has a comparative advantage in coconuts and the opportunity cost of 1 coconut for Mrs. Howell is 4 pineapples B. Mrs. Howell has a comparative advantage in pineapples and the opportunity cost of 1 pineapple for Mrs. Howell is .25 coconuts. C. Mr. Howell has a comparative advantage in pineapples and the opportunity cost of 1 pineapple is 1 coconut. D. Mr. Howell has a comparative advantage in both pineapples and coconuts and should specialize in pineapples. Labor Requirements for Pineapples and Coconuts 1 Pineapple 1 Coconut Mr. Howell 1 hour 1 hour Mrs. Howell 1/2 hour 2 hours

Chapter 14 Solutions

Statistics for Management and Economics (Book Only)

Ch. 14.1 - Prob. 11ECh. 14.1 - Prob. 12ECh. 14.1 - Prob. 13ECh. 14.1 - Prob. 14ECh. 14.1 - Prob. 15ECh. 14.1 - Prob. 16ECh. 14.1 - Prob. 17ECh. 14.1 - Prob. 18ECh. 14.1 - Prob. 19ECh. 14.1 - Prob. 20ECh. 14.1 - Prob. 21ECh. 14.1 - Prob. 22ECh. 14.1 - Prob. 23ECh. 14.1 - Prob. 24ECh. 14.1 - Prob. 25ECh. 14.1 - Prob. 26ECh. 14.1 - Prob. 27ECh. 14.1 - Prob. 28ECh. 14.1 - Prob. 29ECh. 14.1 - Prob. 30ECh. 14.1 - Prob. 31ECh. 14.1 - Prob. 32ECh. 14.1 - Prob. 33ECh. 14.1 - Prob. 34ECh. 14.1 - Prob. 35ECh. 14.1 - Prob. 36ECh. 14.1 - Prob. 37ECh. 14.1 - Prob. 38ECh. 14.1 - Prob. 39ECh. 14.1 - Prob. 40ECh. 14.1 - Prob. 41ECh. 14.1 - Prob. 42ECh. 14.1 - Prob. 43ECh. 14.1 - Prob. 44ECh. 14.1 - Prob. 45ECh. 14.1 - Prob. 46ECh. 14.1 - Prob. 47ECh. 14.1 - Prob. 48ECh. 14.1 - Prob. 49ECh. 14.1 - Prob. 50ECh. 14.1 - Prob. 51ECh. 14.1 - Prob. 52ECh. 14.1 - Prob. 53ECh. 14.1 - Prob. 54ECh. 14.1 - Prob. 55ECh. 14.1 - Prob. 56ECh. 14.2 - Prob. 57ECh. 14.2 - Prob. 58ECh. 14.2 - Prob. 59ECh. 14.2 - Prob. 60ECh. 14.2 - Prob. 61ECh. 14.2 - Prob. 62ECh. 14.2 - Prob. 63ECh. 14.2 - Prob. 64ECh. 14.2 - Prob. 65ECh. 14.2 - Prob. 66ECh. 14.2 - Prob. 67ECh. 14.2 - Prob. 68ECh. 14.2 - Prob. 69ECh. 14.2 - Prob. 70ECh. 14.2 - Prob. 71ECh. 14.2 - Prob. 72ECh. 14.2 - Prob. 73ECh. 14.2 - Prob. 74ECh. 14.2 - Prob. 75ECh. 14.2 - Prob. 76ECh. 14.2 - Prob. 77ECh. 14.2 - Prob. 78ECh. 14.2 - Prob. 79ECh. 14.2 - Prob. 80ECh. 14.2 - Prob. 81ECh. 14.2 - Prob. 82ECh. 14.4 - Prob. 83ECh. 14.4 - Prob. 84ECh. 14.4 - Prob. 85ECh. 14.4 - Prob. 86ECh. 14.4 - Prob. 87ECh. 14.4 - Prob. 88ECh. 14.4 - Prob. 89ECh. 14.4 - Prob. 90ECh. 14.4 - Prob. 91ECh. 14.4 - Prob. 92ECh. 14.4 - Prob. 93ECh. 14.4 - Prob. 94ECh. 14.4 - Prob. 95ECh. 14.4 - Prob. 96ECh. 14.4 - Prob. 97ECh. 14.4 - Prob. 98ECh. 14.4 - Prob. 99ECh. 14.5 - Prob. 100ECh. 14.5 - Prob. 101ECh. 14.5 - Prob. 102ECh. 14.5 - Prob. 103ECh. 14.5 - Prob. 104ECh. 14.5 - Prob. 105ECh. 14.5 - Prob. 106ECh. 14.5 - Prob. 107ECh. 14.5 - Prob. 108ECh. 14.5 - Prob. 109ECh. 14.6 - Prob. 110ECh. 14.6 - Prob. 111ECh. 14.6 - Prob. 112ECh. 14.A - Prob. 1ECh. 14.A - Prob. 2ECh. 14.A - Prob. 3ECh. 14.A - Prob. 4ECh. 14.A - Prob. 5ECh. 14.A - Prob. 6ECh. 14.A - Prob. 7ECh. 14.A - Prob. 8ECh. 14.A - Prob. 9ECh. 14.A - Prob. 10ECh. 14.A - Prob. 11ECh. 14.A - Prob. 12ECh. 14.A - Prob. 13ECh. 14.A - Prob. 14ECh. 14.A - Prob. 15ECh. 14.A - Prob. 16ECh. 14.A - Prob. 17ECh. 14.A - Prob. 18ECh. 14.A - Prob. 19ECh. 14.A - Prob. 20ECh. 14.A - Prob. 21ECh. 14.A - Prob. 22ECh. 14.A - Prob. 23ECh. 14.A - Prob. 24ECh. 14.A - Prob. 25ECh. 14.A - Prob. 26ECh. 14.A - Prob. 27ECh. 14.A - Prob. 28ECh. 14.A - Prob. 29ECh. 14.A - Prob. 30ECh. 14.A - Prob. 31ECh. 14.A - Prob. 32ECh. 14.A - Prob. 33ECh. 14.A - Prob. 34ECh. 14.A - Prob. 35ECh. 14.A - Prob. 36ECh. 14.A - Prob. 37ECh. 14.A - Prob. 38ECh. 14.A - Prob. 39ECh. 14.A - Prob. 40ECh. 14.A - Prob. 41ECh. 14.A - Prob. 42ECh. 14 - Prob. 113CECh. 14 - Prob. 114CECh. 14 - Prob. 115CECh. 14 - Prob. 116CECh. 14 - Prob. 117CECh. 14 - Prob. 118CECh. 14 - Prob. 119CECh. 14 - Prob. 120CECh. 14 - Prob. 121CECh. 14 - Prob. 122CECh. 14 - Prob. 123CECh. 14 - Prob. 124CECh. 14 - Prob. 125CECh. 14 - Prob. 126CECh. 14 - Prob. 127CECh. 14 - Prob. 128CECh. 14 - Prob. 129CECh. 14 - Prob. 130CECh. 14 - Prob. 131CECh. 14 - Prob. 132CECh. 14 - Prob. 133CECh. 14 - Prob. 134CECh. 14 - Prob. 135CECh. 14 - Prob. 136CECh. 14 - Prob. 137CECh. 14 - Prob. 138CECh. 14 - Prob. 139CECh. 14 - Prob. 140CECh. 14 - Prob. 141CECh. 14 - Prob. 142CECh. 14 - Prob. 143CECh. 14 - Prob. 144CECh. 14 - Prob. 145CECh. 14 - Prob. 146CE
Knowledge Booster
Background pattern image
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Managerial Economics: Applications, Strategies an...
Economics
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:Cengage Learning
Text book image
Principles of Economics 2e
Economics
ISBN:9781947172364
Author:Steven A. Greenlaw; David Shapiro
Publisher:OpenStax
Text book image
MACROECONOMICS FOR TODAY
Economics
ISBN:9781337613057
Author:Tucker
Publisher:CENGAGE L
Text book image
Micro Economics For Today
Economics
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Cengage,
Text book image
Economics For Today
Economics
ISBN:9781337613040
Author:Tucker
Publisher:Cengage Learning
Text book image
Survey Of Economics
Economics
ISBN:9781337111522
Author:Tucker, Irvin B.
Publisher:Cengage,