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Business Statistics

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1. Tíme spent serving a customer at a cafe is normally distributed, with \(\mu=7\) minutes and \(\sigma=1.8\) minutes.

(a) If you select a random sample of duration serving twenty-five ( 25 ) customers, determine the probability that the sample mean is between 6.8 and 7.2 minutes.

(b) If you select a random sample of 144 customers, determine the probability that the sample mean is between 6.8 and 7.2 minutes.

(c) Explain the difference in the results of (i) and (ii).

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