For the following hypothesis test, determine the null and alternative hypotheses

Question

For the following hypothesis test, determine the null and alternative hypotheses. Also, classify the hypothesis test as two-tailed, left-tailed, or right-tailed. The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months. A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months. Choose the correct null and alternative hypotheses below. A. H_0: mu = 22.1 months H_a: mu > 22.1 months B. H_0: mu = 22.1 months H_a: mu 22.1 months C. H_0: mu = 22.1 months H_a: mu 22.1 months H_a: mu = 22.1 months E. H_0: mu 22.1 months H_a: mu = 22.1 months F. H_0: mu = 22.1 months H_a: mu > 22.1 months Which of the following is the correct classification of the hypothesis test? A. Two-tailed B. Left-tailed C. Right-tailed

Explanation / Answer

option B is correct and it is a two tailed.

As it is clearly mentioned that the mean is differ from 22.1 if it is given that increasing or decreasing then we go for one tailed so it is a two tailed we use equal to sign for null and not equal to sign for alterntive hypothesis.

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