A car dealer was interested in comparing two brands of tires to see if they yielded different wear length (in thousands of miles). The dealer selected eight cars at random and used each of the brands of tires on each car. The wear length was recorded as follows: Use the sign test to see if the distribution of wear length is the same for both brands of tires. Use
= 0.05.
The null and alternate hypotheses are: : The distributions of wear length are identical for the two brands of tires, and p = 0.50.
: The distributions of wear length are not identical for the two brands of tires, and p
0.50.
What is the test statistic?
x = ______________
What is the p-value for the test statistic?
______________
Conclusion ______________
Conclude that the distributions of wear length for the two brands of tires are ______________.
Correct Answer:
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