4.1 At the 0.05 level of significance, test whether the mean fat absorbed by the four different fats are significantly different. Interpret your results. (Ensure you use all the steps for your hypothesis test)
4.1 At the 0.05 level of significance, test whether the mean fat absorbed by the four different fats are significantly different. Interpret your results. (Ensure you use all the steps for your hypothesis test)
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
Transcribed Image Text:A bakery in Cape Town would like to produce a koeksister that could be marketed to consumers that are health
conscious. They experimented with 4 different fats to see which fat was least absorbed by the koeksisters
during the deep-frying process. Each fat was used for six batches of one dozen koeksisters each, and the table
shows the grams of fat absorbed by each batch of koeksisters
g Fat Absorbed in Batch
Fat 1
64
72
68
77
56
95
72
13.34
Fat 2
78
91
97
82
85
77
85
7.77
Fat 3
75
93
78
71
63
76
76
9.88
Fat 4
55
66
49
64
70
68
62
8.22
S
df
MS
F
p-value
Treatment
1636.5
3
545.4
5.41
0.0069
Error
2018.0
20
100.9
Total
3654.5
23
4.1
At the 0.05 level of significance, test whether the mean fat absorbed by the four different fats are
significantly different. Interpret your results. (Ensure you use all the steps for your hypothesis test)
4.2
Given the table below, what can you conclude about the mean fat absorbed by the four different fats
95% Confidence Interval for x – x
Fat 1- Fat 2
-13
-29.2
3.2
Fat 1- Fat 3
-4
-20.2
12.2
Fat 1- Fat 4
10
-6.2
26.2
Fat 2 - Fat 3
9
-7.2
25.2
Fat 2 - Fat 4
23
6.8
39.2
Fat 3- Fat 4
14
-2.2
30.2
Expert Solution
Step 1
As per the honor code, We’ll answer the first question since the exact one wasn’t specified. Please submit a new question by specifying the one you’d like answered in the remaining questions.
Given,
The data is:
| G fat absorbed in batch | S | |||||||
| Fat1 | 64 | 72 | 68 | 77 | 56 | 95 | 72 | 13.34 |
| Fat2 | 78 | 91 | 97 | 82 | 85 | 77 | 85 | 7.77 |
| Fat3 | 75 | 93 | 78 | 71 | 63 | 76 | 76 | 9.88 |
| Fat4 | 55 | 66 | 49 | 64 | 70 | 68 | 62 | 8.22 |
The output of One-way ANOVA is given:
| SS | df | MS | F | P-value | |
| Treatment | 1636.5 | 3 | 545.4 | 5.41 | 0.0069 |
| Error | 2018.0 | 20 | 100.9 | ||
| Total | 3654.5 | 23 |
To find,
At the 0.05 significance level, test whether the mean fat absorbed by the four different fats are significantly different.
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