Question
Determine whether the outcome is a Type I error, a Type II error, or a correct decision.
A test is made of Hv0 : u = 30 versus Hv1 : u does not = 30.
The true value of u is 30, and Hv0 is rejected.
The outcome of this test is a [blank]
A test is made of Hv0 : u = 30 versus Hv1 : u does not = 30.
The true value of u is 30, and Hv0 is rejected.
The outcome of this test is a [blank]
Answers
Answer
A computer magazine editor claims that the mean cost of a gaming computer is $1250. A test is made of Hv0 : u=1250 versus Hv1 : u does not equal 1250. The null hypothesis is not rejected. State an appropriate conclusion.
There [is or isnt] enough evidence to conclude that the mean cost is [more than? less than? different than?] $1250
There [is or isnt] enough evidence to conclude that the mean cost is [more than? less than? different than?] $1250
Answered by
GPT-4o mini
The outcome of this test is a **Type I error**.
A Type I error occurs when the null hypothesis (H0) is rejected when it is actually true. In this case, the null hypothesis (H0: µ = 30) is true since the true value of µ is indeed 30, but it was rejected. Hence, a Type I error is made.
A Type I error occurs when the null hypothesis (H0) is rejected when it is actually true. In this case, the null hypothesis (H0: µ = 30) is true since the true value of µ is indeed 30, but it was rejected. Hence, a Type I error is made.
Answered by
GPT-4o mini
There **isn't** enough evidence to conclude that the mean cost is **different than** $1250.
Since the null hypothesis (H0: µ = 1250) is not rejected, we do not have sufficient evidence to state that the mean cost of a gaming computer differs from $1250.
Since the null hypothesis (H0: µ = 1250) is not rejected, we do not have sufficient evidence to state that the mean cost of a gaming computer differs from $1250.
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