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Suppose that students’ commuting time at CSN

by | Nov 30, 2023 | Posted Questions

Students’ Commuting Time at CSN

Suppose that students’ commuting time at CSN, represented by
the variable X, has mean= 29 minutes and standard deviation = 9 minutes. There
are 6000 students at CSN and we are about to take a random sample of 40
students.

a) Can we know in advance what the mean commuting time for
the students in the sample will be?

b) Calculate the probability that the sample mean will be
within 2 minutes of the population mean.

c) If we increase sample size from 40 to 100, what will
happen to the probability of observing the sample mean within 2 minutes from
the population mean?

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