Determining the probability of sample mean

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Q1) Time Spent using e-mail per session is normally distributed, with µ = 8 minutes and σ = 2 minutes. If you choose a random sample of 25 sessions,

a) Determine the probability that sample mean is between 7.8 and 8.2 minutes?

b) Determine the probability that sample mean is between 7.5 and 8 minutes?

c) If you choose random sample of 100 sessions, determine the probability that sample mean is between 7.8 and 8.2 minutes?

d) Describe the difference in result of (a) and (b).

Reference no: EM1313967

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