A comparison is made between two bus lines to determine if

Last updated: 2/20/2024

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 an average time of 53 minutes with standard deviation 17 minutes For 60 randomly selected runs bus line B was observed to be off schedule an average of 60 minutes with standard deviation 15 minutes Do the data indicate a significant difference in average off schedule times Use a 5 level of significance Let bus line A be population 1 and bus line B be population 2 USE SALT a What are we testing in this problem a single proportion a single mean a difference of proportions a paired difference difference of means b What is the level of significance 0 05 State the null and alternate hypotheses in minutes Enter for as needed Ho M1 1 H M 1 c What sampling distribution will you use What assumptions are you making We ll use the standard normal Since the sample sizes are not sufficiently large we need to assume the data are two independent random samples from the relevant populations and that the population distributions are at least mound shaped We ll use the Student s t Since the sample sizes are sufficiently large we only need to assume the data are two independent random samples from the relevant populations We ll use the standard normal Since the sample sizes are sufficiently large we only need to assume the data are two independent random samples from the relevant populations We ll use the Student s t Since the sample sizes are not sufficiently large we need to assume the data are two independent random samples from the relevant populations and that the population distributions are at least mound shaped Use the sample test statistic to compute the corresponding distribution value Test the difference Round your answer