local chess club claims that the length of time to play a game has a mean of 23 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 ▼   less than equal to less than or equal to greater than

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
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A local chess club claims that the length of time to play a game has a
mean
of
23 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
 
less than
equal to
less than or equal to
greater than
not equal to
greater than or equal to
23
​minutes, but you
 
fail to reject
reject
the null​ hypothesis,
 
Upper H 0 : mu less than 23H0: μ<23
Upper H 0 : mu equals 23H0: μ=23
Upper H 0 : mu not equals 23H0: μ≠23
Upper H 0 : mu less than or equals 23H0: μ≤23
Upper H 0 : mu greater than or equals 23H0: μ≥23
Upper H 0 : mu greater than 23H0: μ>23
.
 
A type II error will occur if the actual
mean
of the length of time to play a game is
 
not equal to
greater than or equal to
equal to
greater than
less than or equal to
less than
23
​minutes, but you
 
fail to reject
reject
the null​ hypothesis,
 
Upper H 0 : mu less than 23H0: μ<23
Upper H 0 : mu less than or equals 23H0: μ≤23
Upper H 0 : mu equals 23H0: μ=23
Upper H 0 : mu not equals 23H0: μ≠23
Upper H 0 : mu greater than 23H0: μ>23
Upper H 0 : mu greater than or equals 23H0: μ≥23
.
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