Determine whether the claim stated below represents the null hypothesis or the a

Question

Determine whether the claim stated below represents the null hypothesis or the alternative hypothesis. If a hypothesis test is performed, how should you interpret a decision that (a) rejects the null hypothesis or (b) fails to reject the null hypothesis? A researcher claims that the standard deviation of the life of a certain type of lawn mower is less than 2.7 years. Does the claim represent the null hypothesis or the alternative hypothesis? Since the claim (a) How should you interpret a decision that rejects the null hypothesis? a statement of equality, it represents the vhypothesis. sevidence to the claim that the standard deviation of the lie of a certain type of lawn mower is lesst ian 27y the claim that the standard deviation of the life of a certain type of lawn mower is less than 2.7 years (b) How should you interpret a decision that fails to reject the null hypothesis? There is V evidence to the claim that the standard deviation of the life of a certain type of lawn mower is less than 2.7 years

Explanation / Answer

H1:stddv<2.7

since the claim does not represent a statement of equlaity it reprsents the alternative hypothesis.

solutiona:

there is sufficient evidence to support the claim that the standard deviation of the life of a certain type of lawn mower is less than 2.7 years

solutionb:

there is no sufficient evidence to support the claim that the standard deviation of the life of a certain type of lawn mower is less than 2.7 years

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