For an audience of 600 people attending a concert, the average time on the journey to the

Question:

For an audience of 600 people attending a concert, the average time on the journey to the concert was 32 minutes, and the standard deviation was 10 minutes. A random sample of 150 audience members was taken.

a. What is the probability that the sample mean journey time was more than 31 minutes?

b. What is the probability that the sample mean journey time was less than 33 minutes?

c. Construct a graph to illustrate why the answers to parts

(a) and

(b) are the same.

d. What is the probability that the sample mean journey time was not between 31 and 33 minutes?

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