A repair shop tested two methods(a & B) of replacing a broken roller. In testing method A, these times in minutes were measured (5 trials), 2,4,9,3,2. In testing methods B, these times in minutes were measured (6 trials), 3,7,5,8,4,3. Use the 0.10 significance level, and assume the variance of the two samples are equal. The research asks is there is a difference between these two methods.
2.what is your null hypothesis
a. method A equals method B
b. method A is greater than method B
c method A is less than method B
d. method A does equal method B
3.This is
a. one tailed test
b. a two tailed test
c. a three tailed test
d. a four tailed test
4. How many degree of freedom
a. 5
b. 6
c. 9
d. 11
5. Is the final outcome of your statistics test
a. method A is faster than method B
b. method B is faster than method A
c. Cannot tell if one is faster than the older
2. The null hypothesis in this case would be d. method A does equal method B. This means that there is no difference between the two methods in terms of the time it takes to replace the broken roller.
3. This is a two-tailed test because we are testing for a difference between the two methods, without specifying whether one is expected to be faster or slower than the other.
4. The degrees of freedom for this test can be calculated using the formula (n1 + n2 - 2), where n1 is the number of trials for method A (5 trials) and n2 is the number of trials for method B (6 trials). So, the degrees of freedom would be (5 + 6 - 2) = 9. Therefore, the answer is c. 9.
5. The final outcome of the statistical test would provide evidence to either reject or fail to reject the null hypothesis. If the null hypothesis is rejected, it means that there is a statistically significant difference between the two methods. If the null hypothesis is not rejected, it means that there is not enough evidence to conclude that there is a difference between the two methods.
So, the answer to 5 would be c. Cannot tell if one is faster than the other, as it would depend on the outcome of the statistical test.