length of time to play a game has a standard deviation of 10 minutes or less. Write sentences describing type I and type II errors for a hypothesis test of this claim.

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11. 

A local chess club claims that the length of time to play a game has a
standard deviation
of
10 minutes or less.
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
standard deviation
of the length of time to play a game is
 
less than
less than or equal to
greater than
greater than or equal to
not equal to
equal to
10
​minutes, but you
 
reject
fail to reject
the null​ hypothesis,
 
Upper H 0 : sigma equals 10H0: σ=10
Upper H 0 : sigma not equals 10H0: σ≠10
Upper H 0 : sigma greater than 10H0: σ>10
Upper H 0 : sigma greater than or equals 10H0: σ≥10
Upper H 0 : sigma less than 10H0: σ<10
Upper H 0 : sigma less than or equals 10H0: σ≤10
.
 
A type II error will occur if the actual
standard deviation
of the length of time to play a game is
 
less than or equal to
greater than or equal to
less than
equal to
not equal to
greater than
10
​minutes, but you
 
fail to reject
reject
the null​ hypothesis,
 
Upper H 0 : sigma greater than 10H0: σ>10
Upper H 0 : sigma equals 10H0: σ=10
Upper H 0 : sigma greater than or equals 10H0: σ≥10
Upper H 0 : sigma less than or equals 10H0: σ≤10
Upper H 0 : sigma less than 10H0: σ<10
Upper H 0 : sigma not equals 10H0: σ≠10
.
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