(Answered) Question announcements for 84 upcoming engineering

Statistics

Question: Announcements for 84 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum magazines. The mean length of the conferences was 3.94 days, with a standard deviation of 1.28 days. Assume the underlying population is normal.

a. In words, define the random variables X and X ¯ .

b. Which distribution should you use for this problem? Explain your choice.

c. Construct a 95% confidence interval for the population mean length of engineering conferences.

i. State the confidence interval.

ii. Sketch the graph.

iii. Calculate the error bound

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