From past experiences, Prof. A believes that the average score on final exam is 75. A sample of 20 students' exam scores is as follows: 80, 68, 72, 73, 76, 98, 71, 71, 35, 50, 63, 71, 70, 70, 76, 75, 69, 70, 72, 74
Assuming a normal population, can we conclude that the students' average is still 75? Use alpha = 0.01
a. If Prof. A used every other student on the class list, what type of sampling was used?
d. For the situation described here, identify the population and the sample.
e. Check the normality of this data set and explain.
g. Does this data set contain any outliers? Explain.
h. Identify the numerical values of the assumed parameters and the statistics for the mean and standard deviation in this problem. If a parameter is unknown, write unknown.
i. At 95% confidence level, find the confidence interval for the mean.
j. What is the error of estimate?
k. What will happen to the width of the confidence interval if the sample size is increased to 29?
l. What will happen to the width of the confidence interval if the level of confidence is increased to 99%?
m. If 200 samples are collected, what does a 95% confidence level tell you?
n. Is there enough evidence to reject Prof. A's belief at  = 0.05?
State the hypothesis Ho :
o. Find the critical, test value, and the p-value:
p. State your conclusion within the context of the problem:
The solution provides step by step method for statistical analysis in Minitab . Formula for the calculation and Interpretations of the results are also included.