Part 2. The Central Limit Theorem 1. Recently, your college surveyed 100 students across campus and found that the mean age of students taking calculus is 23. (Suppose the standard deviation is 2.01 years.) (a) Explain why we can assume that the distribution is approximately normal. (b) What are the mean and standard deviation for the sample mean ages of calculus students? (c) Find the 90th percentile for the mean age of calculus students. Round to 1 decimal place.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.3: Measures Of Spread
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Part 2. The Central Limit Theorem
1. Recently, your college surveyed 100 students across campus and found that the mean age of
students taking calculus is 23. (Suppose the standard deviation is 2.01 years.)
(a) Explain why we can assume that the distribution is approximately normal.
(b) What are the mean and standard deviation for the sample mean ages of calculus students?
(c) Find the 90th percentile for the mean age of calculus students. Round to 1 decimal place.
(d) Find the probability that a calculus student is younger than 18.
(e) Is it unusual for a calculus student to be a minor? Explain your answer.
Transcribed Image Text:Part 2. The Central Limit Theorem 1. Recently, your college surveyed 100 students across campus and found that the mean age of students taking calculus is 23. (Suppose the standard deviation is 2.01 years.) (a) Explain why we can assume that the distribution is approximately normal. (b) What are the mean and standard deviation for the sample mean ages of calculus students? (c) Find the 90th percentile for the mean age of calculus students. Round to 1 decimal place. (d) Find the probability that a calculus student is younger than 18. (e) Is it unusual for a calculus student to be a minor? Explain your answer.
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