Difference of two Means. A national testing agency decided to do an experiment to see about the value of using a computer in a mathematics class. One group of students (Group A) used a computer in their class, while another group (Group B) did not. The main variable of interest was a test score, and we want to see if the mean test score for Group A is Larger than Group B. Use alpha = .05 for your test.

The sample statistics are given below for each group.

Group A Group B
Mean Score 320 302
Standard Deviation 29.5 32.1
N 20 20
We can assume the two variances are equal. Based on the results of a hypothesis test, your conclusion would be to:

a. Fal to reject the Null Hypothesis that the mean Means are equal.

b. Reject the Null Hypothesis that the mean Means are equal.

The upcoming championship high school football game is a big deal in your little town. the problem is, it is being played in the next biggest town, which is two hours away! to get as many people as you can to attend the game, you decide to come up with a ride-sharing app, but you want to be sure it will be used before you put all the time in to creating it. you determine that if more than three students share a ride, on average, you will create the app. you conduct simple random sampling of 20 students in a school with a population of 300 students to determine how many students are in each ride-share (carpool) on the way to school every day to get a good idea of who would use the app. the following data are collected: 6 5 5 5 3 2 3 6 2 2 5 4 3 3 4 2 5 3 4 5 construct a 95% confidence interval for the mean number of students who share a ride to school, and interpret the results. part a: state the parameter and check the conditions. part b: construct the confidence interval. be sure to show all your work, including the degrees of freedom, critical value, sample statistics, and an explanation of your process. part c: interpret the meaning of the confidence interval. part d: use your findings to explain whether you should develop the ride-share app for the football game.