iPad 12:16 PM 100% ewebwork.clayton.edu ¢+D Chapter 7 Homework-Introductory Stat

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iPad 12:16 PM 100% ewebwork.clayton.edu ¢+D Chapter 7 Homework-Introductory Statistics Section o.. WeBWorK: M1231-06-SP18: StatChapter07: 6 Logged in as shunt18 MATHEMATICAL ASSOCIATION OF AMERICA Log Out WeBWork webwork/ m1231-06-sp18 / statchapter076 MAIN MENU Courses StatChapter07: Problem 6 Sets Previous Problem Problem List Next Problenm Prob User Settings Grades (1 point) A company sells hand lotion in 500 milliliter (ml) tubes. Due to a problem at the manufacturing plant, the tubes in a particular shipment of lotion have a mean of only 496 ml, with a standard deviation of 5 ml. A store receives the defective shipment and offers to sell the lotion offers a discount: 6 of the defective tubes for the price of 5. (a) In the defective shipment, what is the standard deviation of the average amount of lotion for all possible samples of 6 tubes? (round this answer to exactly four decimal places, and use the rounded result in part (b) below). Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 (b) If you take advantage of the sale, what is the probability that the average amount of lotion in your 6 tubes (assumed to be a Simple Random Sample from the defective shipment) will be less than 490 ml? Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email instructor Page generated at 03/15/2018 at 12:16pm EDT WeBwbrK © 1996-2017] theme: math4 | ww-version: WeeworK-213] pg-version PG-213] The We8w0rK Project

Explanation / Answer

Ans:

Given that

mean=496

standard deviation=5

a)For n=6

standard deviation of sample means=5/sqrt(6)=2.0412

b)

z=(490-496)/2.0412

z=-2.939

P(z<-2.939)=0.0016

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