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# Suppose that the average grade for all people who take a class is 83 with a standard deviation of 3.5

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Suppose that the average grade for all people who take a class is 83 with a standard deviation of 3.5. If your particular class has an average of 89, can you conclude that your class is better than average at the 90 percent confidence level? Label and describeeach step of the hypothesis testing procedure, and be sure to specify whether this is a one-tailed or two-tailed test.

##### Solution Summary

The expert determines the average grade for all people who take a class is 83.

##### Solution Preview

In this question, you need to know the size of this class. I just assume that the size is n=30. This number may affect the final conclusion.

Now we perform a 5-step hypothesis test.

Step 1: Set up hypotheses.

H0: mu<=83
Ha: ...

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###### Education
• BSc , Wuhan Univ. China
• MA, Shandong Univ.
###### Recent Feedback
• "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
• "excellent work"
• "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
• "Thank you"
• "Thank you very much for your valuable time and assistance!"

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