Question

The mean length of imprisonment for​ motor-vehicle theft offenders in this country is 21.521.5 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=21.521.5 ​months,  Upper H Subscript aHa​: muμnot equals≠21.521.5 months. A type I error would occur if in fact muμequals=21.521.5 ​months, but the results of the sampling fail to lead to the conclusion that muμnot equals≠21.521.5 months. B. A type I error would occur if in fact muμnot equals≠21.521.5 ​months, but the results of the sampling fail to lead to the conclusion that muμequals=21.521.5 months. C. A type I error would occur if in fact muμequals=21.521.5 ​months, but the results of the sampling lead to the conclusion that muμnot equals≠21.521.5 months.

Answer 1

First I write te testing problem, then definition of type 1 error and finally what will be the type 1 error in this case. Please go through the solution.

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