(1 point) A company sells sunscreen in 500 milliliter (ml) tubes. In fact, the a
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(1 point) A company sells sunscreen in 500 milliliter (ml) tubes. In fact, the amount of lotion in a tube varies according to a normal distribution with mean = 496 ml and standard deviation = 7 m. Suppose a store which sells this sunscreen advertises a sale for 6 tubes for the price of 5. Consider the average amount of lotion from a random sample of 6 tubes of sunscreen and find: (a) The standard deviation of the average, x: 2.85 (b) The probability that the average amount of sunscreen from 6 tubes will be less than 486 ml. Answer:Explanation / Answer
= 496
= 7
n = 6
a) satandard deviation of average = /sqrt(n) = 7/sqrt(6) = 2.86
b) P(average < 486) = P(Z < (486 - 496)/2.86)
= P(Z < -3.5)
= 0.0001
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