At a large university, a random sample of 20 students is drawn. The sample mean age of the students is 22.3 years, and the sample standard deviation is 2.5 years. Assume that student ages are (at least approximately) normally distributed and independent. a) What is the probability that the sample mean age is more than 1 year above the true mean age? b) How would the result of part a) change if the standard deviation of 2.5 years were assumed to be known?
At a large university, a random sample of 20 students is drawn. The sample mean age of the students is 22.3 years, and the sample standard deviation is 2.5 years. Assume that student ages are (at least approximately) normally distributed and independent. a) What is the probability that the sample mean age is more than 1 year above the true mean age? b) How would the result of part a) change if the standard deviation of 2.5 years were assumed to be known?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Question
At a large university, a random sample of 20 students is drawn. The sample
students is 22.3 years, and the sample standard deviation is 2.5 years. Assume that student
ages are (at least approximately)
a) What is the probability that the sample mean age is more than 1 year above the true mean
age?
b) How would the result of part a) change if the standard deviation of 2.5 years were assumed
to be known?
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