In: Statistics and Probability
A safety engineer records the braking distances of two types of tires. Each randomly selected sample has 35 tires. The results of the tests are shown in the table. At alpha equals 0.10, can the engineer support the claim that the mean braking distance is different for the two types of tires? Assume the samples are randomly selected and that the samples are independent. Complete parts (a) through (e).
Type A |
||
1x1 |
equals= |
43feet |
1σ1 |
equals= |
4.7 feet |
Type B |
||
2x2 |
equals= |
47 feet |
2σ2 |
equals= |
4.5 feet |
B-critical values
C-find the standardized test statistic z.
D-Decide whether to reject or fail to reject the null hypothesis.
E- interpet the decision based on the context of the original claim