Believe it or not, while writing this assignment, I traveled forward in time and

Question

Believe it or not, while writing this assignment, I traveled forward in time and collected a random sample of 25 submissions for this assignment. The names on the assignments did not survive the return time-trip, but I could still calculate the average total score on the sampled assignments, which was 10, and their sample standard deviation, which was 1.8. On the basis of this information: Find a 95% confidence interval for the actual average score mu for the entire class. Construct a 99/95 tolerance interval for your score on this assignment (i.e., an interval that includes 99% of possible observations with 95% confidence). Discuss any issues. While collecting the sample, I met my future self, who told me the actual mean and standard deviation of scores for all submitted assignments. Unfortunately, the time-travel sickness I experienced on my return trip to the present meant I was only able to remember the standard deviation, which was 2.0. Given this information, how would you change the interval you calculated in part (a), if at all?

Explanation / Answer

95% interval alpha/2 = 0.025 df = 24 t= 2.064

interval : 10 +/- 2.064 * 1.8 / srqt 25

10 +/- 0.74304

9.25696 < miu < 10.74304

for the other questions please post it in a new question :)

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