249 Quiz #3: Name: Fall 2022 Your manager in a travel agency believes that people spend more on average for winter tours than they do for summer tours. To test this hypothesis you take a random sample of 100 winter travelers and determine a mean of $3,000 with a variance of $50,000. Your random sample of 100 summer travelers reveals a mean of $2,930 with a variance of $45,000. a. Set up hypotheses and test to determine if your manager's belief is valid. b. Interpret all results. Your friend suggests that the mean number of errors for outfielders is the same. Yo question this so you take the following random sample of 15 outfielders, who played same number of games, and record the number of errors they made the previous season. Left Field Center Field Right Field 10 12 8 10 7 9 6 13 8 11 9 a. Set up hypotheses to test your friend's claim. b. Perform a one-way analysis of variance to test this. c. Interpret all results