Two fuel additives are tested to determine their effect on miles per gallon for passenger cars. Test results for 12 cars follow; each car was tested with both fuel additives.AdditiveCar12120.1218.0523.5620.77321.0321.57419.1516.0621.2320.2224.7723.8716.1616.2818.5513.9820.8720.031023.2321.151123.2121.781224.0222.7Use a = .05 and the Wilcoxon signed-rank test to see whether there is a significant difference between the median miles per gallon for the additives. Use Table 1 of Appendix B.a. What are the null and alternative hypotheses?Ho : Median for Additive 1 - Median for Additive 2 equal to 0Ha : Median for Additive 1 - Median for Additive 2 not equal to 0b. What is the mean and standard deviation of the normal distribution that can be used for this statistical test (to 4 decimals if necessary)?Mean39Standard deviation25.4951

State the null and alternative hypothesis: The investigator is specially interested to test whether…

Answered: Two fuel additives are tested to…

Two fuel additives are tested to determine their effect on miles per gallon for passenger cars. Test results for 12 cars follow; each car was tested with both fuel additives. Additive

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 11PPS

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Two fuel additives are tested to determine their effect on miles per gallon for passenger cars. Test results for 12 cars follow; each car was tested with both fuel additives.
Additive
Car
1
2
1
20.12
18.05
23.56
20.77
3
21.03
21.57
4
19.15
16.06
21.23
20.22
24.77
23.8
7
16.16
16.2
8
18.55
13.98
20.87
20.03
10
23.23
21.15
11
23.21
21.78
12
24.02
22.7
Use a = .05 and the Wilcoxon signed-rank test to see whether there is a significant difference between the median miles per gallon for the additives. Use Table 1 of Appendix B.
a. What are the null and alternative hypotheses?
Ho : Median for Additive 1 - Median for Additive 2 equal to 0
Ha : Median for Additive 1 - Median for Additive 2 not equal to 0
b. What is the mean and standard deviation of the normal distribution that can be used for this statistical test (to 4 decimals if necessary)?
Mean
39
Standard deviation
25.4951

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