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Probability that the sample mean

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A warehouse manager at Dockhousing, Inc. maintains a large inventory of video games. The company's database states that the mean value of the games in inventory is $50, with a standard deviation of $5. The manager is concerned about pilfering the more expensive games by the warehouse employees. She picked a random sample of 100 games and found the mean value to be $48.50. Assuming a normal distribution, what is the probability that the sample mean would be $48.50 or less, if all the inventory can actually be accounted for? (Please keep four decimals.)

Reference no: EM131314759

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