Kwebwork stat1220 / homework7 /6 Homework7: Problem 6 Previous Problerm List Nex

Question

Kwebwork stat1220 / homework7 /6 Homework7: Problem 6 Previous Problerm List Next 1 point) A company sells sunscreen n 450 militer (mb tubes in fact, the amount of lotion in a tube varies according to a normal distribution with mean -447 mt and standard deviation -4 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 trom a random sample 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 441 ml Answer Note: You can earn partial credit on this probiem

Explanation / Answer

Mean is 447 and n is 5, here s is 4 thus standard error is s/sqrt(N)=4/sqrt(5)=1.79

a) Standard error is thus 1.79

b) P(x<441)=P(z<(441-447)/1.79)=P(z<-3.35)=1-P(z<3.35) this is 1-1=0 (because probability for z<=3 is nearly 1

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