An independent consumer group tested radial tires from two major brands (1, 2) to determine whether there were any differences in the expected tread life. The data (in thousands of miles) are provided in (the image attached). Is mean performance different for the two brands? a. First test the variances of the tread lives of the two brands to determine which assumption about equality of variances to use. Use 90% confidence and the critical
Problem 6
An independent consumer group tested radial tires from two major brands (1, 2) to determine
whether there were any differences in the expected tread life. The data (in thousands of miles)
are provided in (the image attached). Is mean performance different for the two brands?
a. First test the variances of the tread lives of the two brands to determine which
assumption about equality of variances to use. Use 90% confidence and the critical
value approach.
b. Based on the result of part a, answer the question about the mean performance of the
two brands using the p-value approach and 99% confidence.
c. Is the proportion of tires that last at least 55,000 miles larger for Brand 2 tires? Use 99%
confidence and the critical value approach.
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