Question

Joe’s Tire Company claims their tires will last at least 60,000 miles in highway driving conditions. The editors of Tire magazine don’t think the tires last 60,000 miles, so they select 36 tires at random and test them. The tires they tested had a mean life of 58,500 miles and a standard deviation of 3,500 miles. Conduct a test to determine if Joe’s claim is accurate. Use a significance level of 0.05.

Answer 1

given data are:-

hypothesis:-

[ claim ]

the test statistic be:-

df = (n-1) = (36-1) = 35

the p value is = 0.0073

[ in any blank cell of excel type =T.DIST(-2.5714,35,TRUE)]

decision:-

p value = 0.0073 <0.05 (Alpha)

we reject the null hypothesis and conclude that there is enough evidence to conclude that Joe’s claim is accurate.

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