To test HO: u =18 against Ha:>18 using data from a random sample of size n=9 taken from a normal distribution with o=4.5. If the rejection region is X bar > 21, determine: (a) the probability of type 1 errors ( a ) (b) the probability of type 2 error ( B) when u=22

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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To test HO: u =18 against Ha:>18 using data
from a random sample of size n=9 taken from a
normal distribution with o=4.5. If the rejection
region is X bar > 21, determine:
(a) the probability of type 1 errors ( a)
(b) the probability of type 2 error ( B) when u=22
(c) whiteout calculations can you say weather
B(21.5) will be bigger or less than B(22)? Why?
Transcribed Image Text:To test HO: u =18 against Ha:>18 using data from a random sample of size n=9 taken from a normal distribution with o=4.5. If the rejection region is X bar > 21, determine: (a) the probability of type 1 errors ( a) (b) the probability of type 2 error ( B) when u=22 (c) whiteout calculations can you say weather B(21.5) will be bigger or less than B(22)? Why?
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