A man who moves to a new city sees that there are two routes he could take to work. A neighbor who has lived there a long time tells him Route A will average 5 minutes faster than Route B. The man decides to experiment. Each day he flips a coin to determine which way to​ go, driving each route 10days. He finds that Route A takes an average of 50 ​minutes, with standard deviation 1 minute​, and Route B takes an average of 52 ​minutes, with standard deviation 4 minutes. Histograms of travel times for the routes are roughly symmetric and show no outliers.

You are a paranoid delusional statistician with far too much time on your hands. One day, you sit down to have a bowl of soup. This bowl of soup happens to be Tic-Tac-Toe themed, meaning that you stir have some noodles that are shaped like an X, and some that are shaped like an O. As your soup, you notice that this bowl seems to have a particularly high number of X- you shaped noodles in it. Being paranoid, you conclude that this has some meaning-like someone is trying to give you a message, possibly warning you of the dangers of x-rays. You jump out of your seat and run to get your x-ray-proof cape, and then you pause for a moment and think that you should calculate a chi-square statistic for the frequency of X-shaped noodles before freaking out. First, you carefully separate each of the noodles by shape and count them. Here is what you find: Frequency of Noodles X-shaped O-shaped 33 21 1. What type of chi-square design is this (check one box)? OTwo-cell ОThree-cell OTwo-by-two…

Which histogram belongs to the data for the current golf balls –Figure 3 or Figure 4? Give a reason for your answer.

#31). Both pictures are the same problem.