4. QUESTION 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 64 72 68 77 56 95 Fat 1 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 1636.5 545.4 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 š – žj 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 26PPS
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4. QUESTION
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
78 91 97 82 85
Fat 2
77
85
7.77
Fat 3
75
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
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
Xi – Xj
95% Confidence Interval for š¡ – 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
-7.2
25.2
Fat 2 - Fat 4
23
6.8
39.2
Fat 3 - Fat 4
14
-2.2
30.2
Transcribed Image Text:4. QUESTION 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 78 91 97 82 85 Fat 2 77 85 7.77 Fat 3 75 71 63 76 76 9.88 Fat 4 55 66 49 64 70 68 62 8.22 S df MS F p-value Treatment 1636.5 545.4 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 Xi – Xj 95% Confidence Interval for š¡ – 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 -7.2 25.2 Fat 2 - Fat 4 23 6.8 39.2 Fat 3 - Fat 4 14 -2.2 30.2
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