In the past, the mean running time for a certain type of radio battery has been 9.6 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has changed as a result.

A. H0: µ > 9.6 hours Ha: µ > 9.6 hours
B. H0: µ = 9.6 hours Ha: µ > 9.6 hours
C. H0: µ ≠ 9.6 hours Ha: µ = 9.6 hours
D. H0: µ = 9.6 hours Ha: µ ≠ 9.6 hours

Respuesta :

the answer is B, correct answer

The null hypothesis is the actual parameter which could be the mean, the variance or the standard deviation, while the alternative hypothesis is the believed value of the parameters.

The null and alternative hypotheses are:

[tex]H_o: \mu = 9.6[/tex]

[tex]H_a: \mu \ne 9.6[/tex]

Given that:

[tex]\mu = 9.6[/tex] --- the average running type in the past, is 9.6

This means that the null hypothesis is:

[tex]H_o: \mu = 9.6[/tex]

The claim that the mean value has changed (i.e. not equal to) means:

[tex]\mu \ne 9.6[/tex]

The above represents the alternative hypothesis

[tex]H_a: \mu \ne 9.6[/tex]

So, the null and alternative hypotheses are:

[tex]H_o: \mu = 9.6[/tex]

[tex]H_a: \mu \ne 9.6[/tex]

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