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A company sells sunscreen in 400 milliliter (ml) tubes. In fact, the amount of lotion in...

A company sells sunscreen in 400 milliliter (ml) tubes. In fact, the amount of lotion in a tube varies according to a normal distribution with mean μ=397μ=397 ml and standard deviation σ=4σ=4 ml. Suppose a store which sells this sunscreen advertises a sale for 4 tubes for the price of 3. Consider the average amount of lotion from a SRS of 4 tubes of sunscreen and find:

(a) The standard deviation of the average, x¯ :

(b) The probability that the average amount of sunscreen from 4 tubes will be less than 390 ml.

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Answer #1

Solutiton: Iven 397 ml irn a)//시- = di = 397 6天:6 ム V4 2 6 X 2

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