Question

The mean length of imprisonment for motor-vehicle theft offenders in this country is 16.516.5 months. A hypothesis test is to be performed to decide whether the mean length of imprisonment in this city differs from the national mean. The null and alternative hypotheses are Upper H 0H0: muμequals=16.516.5 months, Upper H Subscript aHa: muμnot equals≠16.516.5 months. Question content area bottom Part 1 a. Explain what it would mean to make a type I error. A. A type I error would occur if in fact muμequals=16.516.5 months, but the results of the sampling lead to the conclusion that muμnot equals≠16.516.5 months. B. A type I error would occur if in fact muμequals=16.516.5 months, but the results of the sampling fail to lead to the conclusion that muμnot equals≠16.516.5 months. C. A type I error would occur if in fact muμnot equals≠16.516.5 months, but the results of the sampling fail to lead to the conclusion that muμequals=16.516.5 months.

          The mean length of imprisonment for motor-vehicle theft offenders in this country is
16.516.5
months. A hypothesis test is to be performed to decide whether the mean length of imprisonment in this city differs from the national mean. The null and alternative hypotheses are
Upper H 0H0:
muμequals=16.516.5
months,  
Upper H Subscript aHa:
muμnot equals≠16.516.5
months.
Question content area bottom
Part 1
a. Explain what it would mean to make a type I error.
A.
A type I error would occur if in fact
muμequals=16.516.5
months, but the results of the sampling lead to the conclusion that
muμnot equals≠16.516.5
months.
B.
A type I error would occur if in fact
muμequals=16.516.5
months, but the results of the sampling fail to lead to the conclusion that
muμnot equals≠16.516.5
months.
C.
A type I error would occur if in fact
muμnot equals≠16.516.5
months, but the results of the sampling fail to lead to the conclusion that
muμequals=16.516.5
months.

Added by Valerie C.

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