18.8 NuttyKorn is a snack consisting of caramel popcorn and peanuts. They advertise that the weight of peanuts (in ounces) in a 26-ounce box of snack follows a normal distribution with mean 5 and standard deviation .2. A consumer group has grave fears that NuttyKorn is skimping on the peanuts. They want to test Ho : u = 5 versus H. : µ < 5, where µ is the true average weight of peanuts in a 26-ounce box of snack. (Assume that the standard deviation is known to be 0.2.) They will randomly select four boxes and reject Ho if at least three of the boxes have less than 4.8 ounces of peanuts. (a) What is the test size for this decision rule? (Use the 68-95-99.7 rule.) (b) Suppose that the true average weight of peanuts is only u = 4.6 ounces (and the standard deviation is again .2). What is the power of the test?
18.8 NuttyKorn is a snack consisting of caramel popcorn and peanuts. They advertise that the weight of peanuts (in ounces) in a 26-ounce box of snack follows a normal distribution with mean 5 and standard deviation .2. A consumer group has grave fears that NuttyKorn is skimping on the peanuts. They want to test Ho : u = 5 versus H. : µ < 5, where µ is the true average weight of peanuts in a 26-ounce box of snack. (Assume that the standard deviation is known to be 0.2.) They will randomly select four boxes and reject Ho if at least three of the boxes have less than 4.8 ounces of peanuts. (a) What is the test size for this decision rule? (Use the 68-95-99.7 rule.) (b) Suppose that the true average weight of peanuts is only u = 4.6 ounces (and the standard deviation is again .2). What is the power of the test?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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
Transcribed Image Text:18.8 NuttyKorn is a snack consisting of caramel popcorn and peanuts. They advertise
that the weight of peanuts (in ounces) in a 26-ounce box of snack follows a normal
distribution with mean 5 and standard deviation .2.
A consumer group has grave fears that NuttyKorn is skimping on the peanuts.
They want to test Họ : µ = 5 versus Ha : µ < 5, where µ is the true average
weight of peanuts in a 26-ounce box of snack. (Assume that the standard deviation
is known to be 0.2.) They will randomly select four boxes and reject Ho if at least
three of the boxes have less than 4.8 ounces of peanuts.
(a) What is the test size for this decision rule? (Use the 68-95-99.7 rule.)
(b) Suppose that the true average weight of peanuts is only µ = 4.6 ounces (and
the standard deviation is again .2). What is the power of the test?
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