11. The following experiment was conducted to compare two coatings designed to improve the durability of the soles of jogging shoes. A 1/8-inch layer of coating was applied to one of the pair of shoes and a layer of equal thickness of coating 2 was applied to the other shoe. Ten joggers were given pairs of shoes treated in this manner and were instructed to record the number of miles covered in each shoe before the 1/8-inch was worn through in any one place. The results are listed in the table: JOGGER 1 2 3 4 5 6 7 8 9 10 Your answer COATING 1 892 904 775 435 946 853 780 695 825 750 Your answer a. Use a 95% confidence interval to estimate the difference between the mean number of miles of wear for the two sole coatings. b. INTERPRET this interval. * COATING 2 985 953 775 510 895 875 895 725 858 812 c. Why is the design used for this experiment preferable to independent random sampling? S A A
11. The following experiment was conducted to compare two coatings designed to improve the durability of the soles of jogging shoes. A 1/8-inch layer of coating was applied to one of the pair of shoes and a layer of equal thickness of coating 2 was applied to the other shoe. Ten joggers were given pairs of shoes treated in this manner and were instructed to record the number of miles covered in each shoe before the 1/8-inch was worn through in any one place. The results are listed in the table: JOGGER 1 2 3 4 5 6 7 8 9 10 Your answer COATING 1 892 904 775 435 946 853 780 695 825 750 Your answer a. Use a 95% confidence interval to estimate the difference between the mean number of miles of wear for the two sole coatings. b. INTERPRET this interval. * COATING 2 985 953 775 510 895 875 895 725 858 812 c. Why is the design used for this experiment preferable to independent random sampling? S A A
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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Transcribed Image Text:Is there sufficient evidence to suggest that coating 2 improves the durability of the
soles of jogging shoes compared to coating 1? Test at 0.05 level of significance.
d. State the Ho & Ha *
Your answer
e. Identify level of significance *
Your answer
f. Computed test statistic / p-value (either of the two) *
NOTE: Round it off to THREE decimal places
Your answer
g. Identify the Rejection Region
Your answer
h. Interpret the results *
Your answer
*
Transcribed Image Text:11. The following experiment was conducted to compare two coatings designed to
improve the durability of the soles of jogging shoes. A 1/8-inch layer of coating was
applied to one of the pair of shoes and a layer of equal thickness of coating 2 was
applied to the other shoe. Ten joggers were given pairs of shoes treated in this
manner and were instructed to record the number of miles covered in each shoe
before the 1/8-inch was worn through in any one place. The results are listed in the
table:
JOGGER
1
2
3
4
5
6
7
8
9
10
Your answer
COATING 1
892
904
775
435
946
853
780
695
825
750
a. Use a 95% confidence interval to estimate the difference between the
mean number of miles of wear for the two sole coatings.
b. INTERPRET this interval. *
Your answer
COATING 2
985
Your answer
953
775
510
895
875
895
725
858
812
c. Why is the design used for this experiment preferable to independent
random sampling?
...S
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