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For questions 5-8, suppose there is a test that consists of 200 multiple-choice questions. Each question...

For questions 5-8, suppose there is a test that consists of 200 multiple-choice questions. Each question has five options, which meansthat people who answer the questions purely by guessing will get an average score of 40 (because they will guess correctly one fifth of the time, on average). You administer the test to a group of 31 students. The average score for the group of students is 37.3, and their standard deviation is 6.42.

For the null hypothesis, let's assume pure guessing. If all the students guessed on every question, you would expect the average score of the sample to be ____ .

For this sample (described in Question 5), what is the t statistic for the sample mean?

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