A local chess club claims that the length of time to play a game has a mean of 43 minutes or more. Write sentences describing type I and type II errors for a hypothesis test of this claim. A type I error will occur if the actual mean of the length of time to play a game is ▼   equal to less than or equal to not equal to greater than or equal to greater than less than 43 ​minutes, but you ▼   reject fail to reject the null​ hypothesis, ▼   Upper H 0 : mu greater than or equals 43H0: μ≥43 Upper H 0 : mu not equals 43H0: μ≠43 Upper H 0 : mu equals 43H0: μ=43 Upper H 0 : mu less than or equals 43H0: μ≤43 Upper H 0 : mu greater than 43H0: μ>43 Upper H 0 : mu less than 43H0: μ<43 .   A type II error will occur if the actual mean of the length of time to play a game is ▼   greater than less than or equal to less than greater than or equal to equal to not equal to 43 ​minutes, but you ▼   fail to reject reject the null​ hypothesis, ▼   Upper H 0 : mu greater than 43H0: μ>43 Upper H 0 : mu equals 43H0: μ=43 Upper H 0 : mu not equals 43H0: μ≠43 Upper H 0 : mu less than or equals 43H0: μ≤43 Upper H 0 : mu less than 43H0: μ<43 Upper H 0 : mu greater than or equals 43H0: μ≥43 .

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
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A local chess club claims that the length of time to play a game has a
mean
of
43 minutes or more.
Write sentences describing type I and type II errors for a hypothesis test of this claim.
A type I error will occur if the actual
mean
of the length of time to play a game is
 
equal to
less than or equal to
not equal to
greater than or equal to
greater than
less than
43
​minutes, but you
 
reject
fail to reject
the null​ hypothesis,
 
Upper H 0 : mu greater than or equals 43H0: μ≥43
Upper H 0 : mu not equals 43H0: μ≠43
Upper H 0 : mu equals 43H0: μ=43
Upper H 0 : mu less than or equals 43H0: μ≤43
Upper H 0 : mu greater than 43H0: μ>43
Upper H 0 : mu less than 43H0: μ<43
.
 
A type II error will occur if the actual
mean
of the length of time to play a game is
 
greater than
less than or equal to
less than
greater than or equal to
equal to
not equal to
43
​minutes, but you
 
fail to reject
reject
the null​ hypothesis,
 
Upper H 0 : mu greater than 43H0: μ>43
Upper H 0 : mu equals 43H0: μ=43
Upper H 0 : mu not equals 43H0: μ≠43
Upper H 0 : mu less than or equals 43H0: μ≤43
Upper H 0 : mu less than 43H0: μ<43
Upper H 0 : mu greater than or equals 43H0: μ≥43
.
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