(2 points) A company sells sunscreen in 300 milliliter (ml) tubes. In fact, the

Question

(2 points) A company sells sunscreen in 300 milliliter (ml) tubes. In fact, the amount of lotion in a tube varies according to a normal distribution with mean 298 ml and standard deviation 3 ml. Suppose a store which sells this sunscreen advertises a sale for 5 tubes for the price of 4. Consider the average amount of lotion from a SRS of 5 tubes of sunscreen and find (a) The standard deviation of the average, (b) The probability that the average amount of sunscreen from 5 tubes will be less than 292 ml. Answer.

Explanation / Answer

a) std deviatio of average =std deviation/(n)1/2 =3/(5)1/2 =1.3416

b) probability =P(X<292)=P(Z<(292-298)/1.3416)=P(Z<-4.4721)=0.000004 ~ 0.0000

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