2] A Small college is concerned that their online classes are less successful than their face-to- face classes. To test. this claim the college randomly selects students from their online and face-to-face classesJ gathers their average grades, and nds the summary statistics in the table below' a. Construct and interpret a 99% condence interval on the difference between the means of the two courses using the information below [4 points]. 3] A game manufacturer believes they have created a better game to help kids learn to type on a keyboard. A small group of kids was tested using the previous version of the game [2019) and the newer version [2 020]. Each time, the total number of words typed in 3 minutes by each child was recorded. Results are Shown in the table below 2019 2020 Participant Game Game 1 150 20 1 2 147 220 3 136 192 4 134 196 5 130 1.82 6 134 173 7 134 202 8 128 1.80 9 136 192 10 15 1 206 Is there an improvement in the average number of words typed using the 2020 game? Cun duct a hypothesis test with an alpharlevel of 0.05. Be sure to give the name of the test lhat you are performing [3 points)