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A college claims that its average class size is more than 30 students in a class....

  1. A college claims that its average class size is more than 30 students in a class. A outside organization takes a sample of 41 classrooms and found that the average number of students in a class was 25, with a sample standard deviation of 2.5 students. The study is going to use an alpha of .05 for their study. Please answer the following questions. (points: 10)
    1. What is the null and alternative hypotheses for the question? Please write out the hypotheses below. (3)
    2. What is the critical value for this distribution? (1)
    3. What is the value of the Statistic for the sample? Show work (2) write it using the equation tool below.
    4. Do we reject the null hypothesis? Please write the hypotheses in the context of the problem. (4)

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