Question

To compare the braking distances for two types of tires, a safety engineer conducts break tests for each type. The results of the tests are given below.

Type A: x1 =55 ft , s1 = 5.3 ft, n1 = 25 Type B: x2 = 51 ft , s2 = 4.9 ft, n2 = 29

Assume the samples are independent, and that the population standard deviations are not equal. At = 0.05 , is there enough evidence to support the claim that the mean breaking distance for the Type A tires is greater than the mean breaking distance for the Type B tires?

1). State the hypothesis and label which represents the claim: : H 0 : H a

2). Sketch the appropriate distribution, find and label the Critical Value(s), and shade in  .

3). ] Write the formula for the test statistic,

4). Decision: including all necessary values, and give its computed value.

Answer 1