You are required to design a test so that if the true mean of the miles per gallon of the automobiles differs from 36.8 MPG by as much as1 MPG, the test will detect this and will reject null hypothesis (H0: µ = 36.8) with a probability of 0.90. Knowing that a-2, a=0.05, n-25 and 6=0.10. What is the sample size required to detect this deviation from HU: µ= 36.8?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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You are required to design a test so that if the true mean of the miles per gallon of the automobiles differs
from 36.8 MPG by as much as 1 MPG, the test will detect this and will reject null hypothesis (HO: µ= 36.8)
with a probability of 0.90. Knowing that o= 2, a =0.05, n=25 and B=0.10. What is the sample size required
to detect this deviation from HO: µ=36.8?
Transcribed Image Text:You are required to design a test so that if the true mean of the miles per gallon of the automobiles differs from 36.8 MPG by as much as 1 MPG, the test will detect this and will reject null hypothesis (HO: µ= 36.8) with a probability of 0.90. Knowing that o= 2, a =0.05, n=25 and B=0.10. What is the sample size required to detect this deviation from HO: µ=36.8?
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