Question

Assuming an experiment has k categories, the goodness-of-fit test statistic is assumed to follow a normal distribution with (k-1) degrees of freedom. True False Question 6 1 pts The Boston public school district has had difficulty maintaining on-time bus service for its students. Suppose the district develops a new bus schedule to help combat chronic lateness on a particularly woeful route. Historically, the bus service on the route has been, on average, 10 minutes late. After the schedule adjustment, the first 36 runs were an average of eight minutes late. As a result, the Boston public school district claimed that the schedule adjustment was an improvement using a two tailed test-students were not as late. Assume a population standard deviation for bus arrival time of 10 minutes. The test statistic is 1.20 based on this and an alpha of.05 which of the following statements is not correct? Fail to reject the null hypothesis The new bus route did not make a difference You should use Z table instead of T table for this problem. Reject the null hypothesis

Answer 1

Answer 1: False

The goodness of fit test statistics is assumed to follow a normal distribution with (k – 1 - d) degrees of freedom. (‘d’ represents degree of freedom)

Answer 6: Reject the null hypothesis

We cannot completely reject the null hypothesis as the significance level, also denoted as alpha or α, is the probability of rejecting the null hypothesis when it is true. A significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference. It means that, we cannot reject the null hypothesis completely.