Solved: Time spent using email per session is normally distributed, Basic Statistics

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Time spent using email per session is normally distributed

Question: Time spent using email per session is normally distributed, with μ = 8 minutes and σ = 2 minutes. If you select a random sample of 25 sessions,

a. what is the probability that the sample mean is between 7.8 and 8.2 minutes?

b. what is the probability that the sample mean is between 7.5 and 8 minutes?

c. If you select a random sample of 100 sessions, what is the probability that the sample mean is between 7.8 and 8.2 minutes?

d. Explain the difference in the results of (a) and (c).

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