Answer for question B.(Question shown in the second image) A nationwide company specializing in preparing students for college and graduate school entrance exams, such as the SAT, ACT, andLSAT, had the business objective of improving its ACT preparatory course. Two factors of interest to the company are the length ofthe course (a condensed 10-day period or a regular 30-day period) and the type of course (traditional classroom or online distancelearning). The company collected data by randomly assigning 10 clients to each of the four cells that represent a combination oflength of the course and type of course. The results are organized and presented in the following table:LENGTH OF COURSETYPE OF COURSECondensedRegularTraditional26 1834 2827 2424 2125 1935 2321 2031 2921 1828 26Online27 21242129 3216 1930 2022 1924 2820 2430 2923 25The two-way ANOVA results are (Factor A (columns) is the lenght, factor B (sample) is the type of course )AB1 ANOVA: Two-ractor With Replication23 SUMMARYCondensed Regular Total4traditional5 Count1010206 Sum2192794987 Average21.927.924.98 Variance11.2111 20.9889 24.7263910online11 Count10102012 Sum27021348313 Average14 Variance2721.324.1516.22228.0111 20.02891516Tulul17 Count202018 Sum18919219 Average24.4524.620 Variance19.8395 25.2000212223 ANOVAI crit24 Source of Variation25 Sample26 ColumnsdfMSP-value5.62505.6250 0.39870.5318 4.11320.225010.2250 0.01590.9002 4.113227 Interaction342.22501 342.2250 24.25690.0000 4.113228 Within507.900036 14.10832930 Total855.97503931Level of significance|0.05 (B) is there an effect due to the type of course?Answer: Since F< Fcrit, then webetween the average amounts for the two types of courses. None seems superior to the others.the null hypothesis. This means the data do not indicate that a difference exists

Decision Rule : Reject H0 if F > Fcrit

(B) is there an effect due to the type of course? Answer: Since F< Fcrit, then we the null hypothesis. This means the data do not indicate that a difference exists between the average amounts for the two types of courses. None seems superior to the others.

(B) is there an effect due to the type of course? Answer: Since F< Fcrit, then we the null hypothesis. This means the data do not indicate that a difference exists between the average amounts for the two types of courses. None seems superior to the others.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Answer for question B.

(Question shown in the second image)

A nationwide company specializing in preparing students for college and graduate school entrance exams, such as the SAT, ACT, and
LSAT, had the business objective of improving its ACT preparatory course. Two factors of interest to the company are the length of
the course (a condensed 10-day period or a regular 30-day period) and the type of course (traditional classroom or online distance
learning). The company collected data by randomly assigning 10 clients to each of the four cells that represent a combination of
length of the course and type of course. The results are organized and presented in the following table:
LENGTH OF COURSE
TYPE OF COURSE
Condensed
Regular
Traditional
26 18
34 28
27 24
24 21
25 19
35 23
21 20
31 29
21 18
28 26
Online
27 21
24
21
29 32
16 19
30 20
22 19
24 28
20 24
30 29
23 25
The two-way ANOVA results are (Factor A (columns) is the lenght, factor B (sample) is the type of course )
A
B
1 ANOVA: Two-ractor With Replication
2
3 SUMMARY
Condensed Regular Total
4
traditional
5 Count
10
10
20
6 Sum
219
279
498
7 Average
21.9
27.9
24.9
8 Variance
11.2111 20.9889 24.7263
9
10
online
11 Count
10
10
20
12 Sum
270
213
483
13 Average
14 Variance
27
21.3
24.15
16.2222
8.0111 20.0289
15
16
Tulul
17 Count
20
20
18 Sum
189
192
19 Average
24.45
24.6
20 Variance
19.8395 25.2000
21
22
23 ANOVA
I crit
24 Source of Variation
25 Sample
26 Columns
df
MS
P-value
5.6250
5.6250 0.3987
0.5318 4.1132
0.2250
1
0.2250 0.0159
0.9002 4.1132
27 Interaction
342.2250
1 342.2250 24.2569
0.0000 4.1132
28 Within
507.9000
36 14.1083
29
30 Total
855.9750
39
31
Level of significance|
0.05

(B) is there an effect due to the type of course?
Answer: Since F< Fcrit, then we
between the average amounts for the two types of courses. None seems superior to the others.
the null hypothesis. This means the data do not indicate that a difference exists

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