A comparison is made between two bus lines to determine if arrival times of their regular buses from Denver to Durango are off schedule by the same amount of time.
For 51 randomly selected runs, bus line A was observed to be off schedule by an average time of 53 minutes, with a standard deviation of 19 minutes. For 60 randomly selected runs, bus line B was observed to be off schedule an average of 62 minutes, with a standard deviation of 15 minutes. Do the data indicate a significant difference in average off schedule times? Use a 5% level of significance.
a.Level of significance, null and alternative hypothesis b. What sampling distribution will you use? What assumptions are you making? What is the value of the sample test statistic? C. Find or estimate the P-value d, Based on your answers to part a and c will you reject or fail to reject the null hypothesis? Are the data statistically significant at level alpha? e. Interpret your conclusion in the context of the application
