According to a recent national survey, 75% of college students admit to dozing off during their remote zoom
lectures. Assume this percentage represents the true population proportion of all college students attending remote
zoom lectures. If a random sample of 1200 college students attending remote zoom lessons is selected, then:
a) State the mean and standard error of the SAMPLING DISTRIBUTION using the proper notation.
Mean: ( to 2 decimal places) ____________________________________
STD Error: ( to 4 decimal places) _
b) Can the sampling distribution be approximated by a normal distribution? If yes, then state why. If not, then
what distribution can be used. You must show work to support your answer to receive credit.

________________________________
c) Using the sampling distribution, calculate the probability (to 4 decimal places) of selecting a random sample
containing at least 78% college students who dozed off during their remote zoom lessons.
i) Draw graph representing the sampling distribution below & shade area representing the probability on graph.
ii) MUST Show all work! Include the calculator function(s) with input values you used to solve this problem.

pur-new-sol

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