An independent consumer group tested radial tires from two major brands (1, 2) t

Question

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 below.

a. Is mean performance difference for the two brands? Assume unequal variances. Use 90% confidence and the critical value approach.

b. Is the proportion of tires that last 55,000 miles or more larger for Brand 2 tires? Use 99% confidence and the critical value approach.

c. What do the results from parts a and b tell you about the two brands?

PLEASE SHOW EACH AND EVERY STEP. THANK YOU!!!

Brand 1 Brand 2 50 57 54 65 52 47 47 52 61 48 56 57 51 56 51 68 48 67 56 58 54 62 60 56 58 56 52 62 48 57 53 47

Explanation / Answer

(A)

t-critical value = +/-1.70

As t-value lies beyond the critical t-value, we reject the null hypothesis

This means there are sufficienct evidence that there is the difference in the means of two brands.

Given Data Sample 1 Sample 2 Name Brand 1 Brand 2 mean 53.2 56.9411765 Sample size 15 17 Std. dev. 4.33 6.43

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