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 4 567 8 9 10 COATING 1 892 904 775 435 946 853 780 695 825 750 COATING 2 985 953 775 510 895 875 895 725 858 812

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To the tutor who answered this please send me the formula for this and how to this on excel thank you.
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
COATING 1
892
904
775
435
946
853
780
695
825
750
COATING 2
985
953
775
510
895
875
895
725
858
812
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 COATING 1 892 904 775 435 946 853 780 695 825 750 COATING 2 985 953 775 510 895 875 895 725 858 812
12:41
Excel output is given below:
t-Test: Paired Two Sample for Means
Mean
Variance
Observations
Pearson Correlation
Hypothesized Mean Difference
df
t Stat
P(T<=t) one-tail
t Critical one-tail
P(T<=t) two-tail
t Critical two-tail
Variable 1
Variable 2
785.5
828.3
18573.12222 21078.05556
10
0.944442232
f) The value of the test statistic is
2.836
?
0
2.835909257
0.009766558
1.833112933
0.019533115
2.262157163
9
(rounded to 3 decimal places).
The p-value is 0.019533 i.e., 0.020 (rounded to
3 decimal places).
g) From the output, the critical value is 2.262
(two-tails).
10
Rejection region is the area beyond ±2.262.
That is, reject Ho ift < -2.262 ort > 2.262
Using P-value method, the rejection rule is:
Reject Ho, if p-value is less than or equal to
the level of significance
√x
DO
Transcribed Image Text:12:41 Excel output is given below: t-Test: Paired Two Sample for Means Mean Variance Observations Pearson Correlation Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Variable 1 Variable 2 785.5 828.3 18573.12222 21078.05556 10 0.944442232 f) The value of the test statistic is 2.836 ? 0 2.835909257 0.009766558 1.833112933 0.019533115 2.262157163 9 (rounded to 3 decimal places). The p-value is 0.019533 i.e., 0.020 (rounded to 3 decimal places). g) From the output, the critical value is 2.262 (two-tails). 10 Rejection region is the area beyond ±2.262. That is, reject Ho ift < -2.262 ort > 2.262 Using P-value method, the rejection rule is: Reject Ho, if p-value is less than or equal to the level of significance √x DO
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