A tire distributor claims that the mean stopping distance of Winter fire is less than the mean stopp


Question: A tire distributor claims that the mean stopping distance of Winter fire is less than the mean stopping distance of Alpine tires. Consumer reports tested several types of snow tires to determine how well each performed under winter conditions. When traveling on ice at 15 mph, 10 Firestone Winter fire tires had a mean stopping distance of 51 feet. The mean stopping distance for 12 Michelin XM+S Alpine tires was 55 feet. Assume the populations are normally distributed.

Winter fire Alpine
\[\overline{x}\]1=51 \[\overline{x}\]2 =55
= 8 \[{{\sigma }_{2}}\] = 3
n1 = 10 n2 = 12

A) At α = 0.05, is there enough evidence to support the claim (Use Critical Value for step 4)? State all 5 steps and identify the claim!

B) Find the P-value

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See Solution: The solution consists of 2 pages
Solution Format: Word Document

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