Aragon Equipment, Inc. is a tractor manufacturer that is beginning to realize the importance of sales data in marketing its products. Its two main products are The Incisor, a tractor used in large agricultural settings, and The Caddy, a smaller tractor primarily used in landscape. The company divides its market into four geographic regions. With the aim of maximally allocating its resources, Aragon decides to investigate whether there is a relationship between the variables type of Aragon tractor sold ("The Incisor" or "The Caddy") and geographic region of the sale ("Great Lakes", "Ohio Valley", "Mid-Atlantic", or "Corn Belt"). The contingency table below summarizes sales data from 500 Aragon tractor sales. Each cell of the table contains three numbers: the first number is the observed cell frequency (fo): the second number is the expected cell frequency (f) under the assumption that there is no relationship between the type of ractor sold and the geographic region of the sale; and the third number is the following value. (fo-1) (Observed cell frequency-Expected cell frequency)2 (10^12)² = Expected cell frequency The numbers labeled "Total" are totals for observed frequency. Part 1 Fill in the missing values in the contingency table. Round your expected frequencies to two or more decimal places, and round your three or more decimal places. Send data to Excel Type of tractor The Incisor The Caddy Total Geographic region of the sale Great Lakes Ohio Valley Mid-Atlantic Corn Belt 69 61 105 0 100.32 0 0.218 29 27 31.68 0.691 132 145 0 0 53 0 0 198 0 (a) Determine the type of test statistic to use. Type of test statistic: (Choose one) & DO 0 98 54.72 0.721 11 17.28 2.282 72 Total (b) Find the value of the test statistic. (Round to two or more decimal places.) 0 380 120 500 Part 2 Answer the following to summarize the test of the hypothesis that there is no relationship between the type of Aragon tractor sold and the geographic region of the sale. For your test, use the 0.05 level of significance. (c) Find the critical value for a test at the 0.05 level of significance. (Round to two or more decimal places.) (fo-1) values to JE (d) Can we conclude that there is a relationship between the type of Aragon tractor sold and the geographic region of the sale? Use the 0.05 level of significance. O Ves O No X 3
Aragon Equipment, Inc. is a tractor manufacturer that is beginning to realize the importance of sales data in marketing its products. Its two main products are The Incisor, a tractor used in large agricultural settings, and The Caddy, a smaller tractor primarily used in landscape. The company divides its market into four geographic regions. With the aim of maximally allocating its resources, Aragon decides to investigate whether there is a relationship between the variables type of Aragon tractor sold ("The Incisor" or "The Caddy") and geographic region of the sale ("Great Lakes", "Ohio Valley", "Mid-Atlantic", or "Corn Belt"). The contingency table below summarizes sales data from 500 Aragon tractor sales. Each cell of the table contains three numbers: the first number is the observed cell frequency (fo): the second number is the expected cell frequency (f) under the assumption that there is no relationship between the type of ractor sold and the geographic region of the sale; and the third number is the following value. (fo-1) (Observed cell frequency-Expected cell frequency)2 (10^12)² = Expected cell frequency The numbers labeled "Total" are totals for observed frequency. Part 1 Fill in the missing values in the contingency table. Round your expected frequencies to two or more decimal places, and round your three or more decimal places. Send data to Excel Type of tractor The Incisor The Caddy Total Geographic region of the sale Great Lakes Ohio Valley Mid-Atlantic Corn Belt 69 61 105 0 100.32 0 0.218 29 27 31.68 0.691 132 145 0 0 53 0 0 198 0 (a) Determine the type of test statistic to use. Type of test statistic: (Choose one) & DO 0 98 54.72 0.721 11 17.28 2.282 72 Total (b) Find the value of the test statistic. (Round to two or more decimal places.) 0 380 120 500 Part 2 Answer the following to summarize the test of the hypothesis that there is no relationship between the type of Aragon tractor sold and the geographic region of the sale. For your test, use the 0.05 level of significance. (c) Find the critical value for a test at the 0.05 level of significance. (Round to two or more decimal places.) (fo-1) values to JE (d) Can we conclude that there is a relationship between the type of Aragon tractor sold and the geographic region of the sale? Use the 0.05 level of significance. O Ves O No X 3
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Aragon - 12
Transcribed Image Text:Aragon Equipment, Inc. is a tractor manufacturer that is beginning to realize the importance of sales data in marketing its products. Its two main products are
The Incisor, a tractor used in large agricultural settings, and The Caddy, a smaller tractor primarily used in landscape. The company divides its market into four
geographic regions. With the aim of maximally allocating its resources, Aragon decides to investigate whether there is a relationship between the variables type
of Aragon tractor sold ("The Incisor" or "The Caddy") and geographic region of the sale ("Great Lakes", "Ohio Valley", "Mid-Atlantic", or "Corn Belt").
The contingency table below summarizes sales data from 500 Aragon tractor sales. Each cell of the table contains three numbers: the first number is the
observed cell frequency (fo); the second number is the expected cell frequency (f) under the assumption that there is no relationship between the type of
tractor sold and the geographic region of the sale; and the third number is the following value.
2
(fo-f)
JE
The numbers labeled "Total" are totals for observed frequency.
Part 1
(Observed cell frequency-Expected cell frequency)2
Expected cell frequency
Fill in the missing values in the contingency table. Round your expected frequencies to two or more decimal places, and round your
three or more decimal places.
Send data to Excel
Type of
tractor
The Incisor
The Caddy
Total
Great Lakes
145
0
0
53
0
0
198
Ohio Valley
Geographic region of the sale
Mid-Atlantic
61
69
0
54.72
0
0.721
29
(a) Determine the type of test statistic to use.
Type of test statistic: (Choose one)
0
0
98
11
17.28
2.282
72
Corn Belt
105
100.32
0.218
(b) Find the value of the test statistic. (Round to two or more decimal places.)
27
31.68
0.691
132
Total
380
120
500
X
(c) Find the critical value for a test at the 0.05 level of significance. (Round to two or more decimal places.)
0
Part 2
Answer the following to summarize the test of the hypothesis that there is no relationship between the type of Aragon tractor sold and the geographic
region of the sale. For your test, use the 0.05 level of significance.
3
(d) Can we conclude that there is a relationship between the type of Aragon tractor sold and the geographic region of the
sale? Use the 0.05 level of significance.
O Yes O No
(Jo-1z)²
fz
values to
X
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