2 pts) A company sells sunscreen in 300 milliliter mi tubes. In fact the amount

Question

2 pts) A company sells sunscreen in 300 milliliter mi tubes. In fact the amount of lotion in a tube a es accordin to a nom al distribution with mean m and standar de ation o 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 random sample ot 4 tubes of sunscreen and find: (a) The standard deviation of the sampling distribution of is 1.5 (b) The probability that the average amount of sunscreen in 4 randomly selected tubes will be less than 292 ml. Answer

Explanation / Answer

= 298 = 3 n = 4

(a) s = / n = 3 / 4 = 3/2 = 1.5.

(b) X = 292

Z = (292 - 298) / 1.5

= -6 / 1.5

= -4

Probability from z table = 0.

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