Question

The accompanying regression table shows a regression of MSRP (manufacturer's suggested retail price) on both Displacement...

The accompanying regression table shows a regression of MSRP (manufacturer's suggested retail price) on both Displacement and Bore for off-road motorcycles. Both of the predictors are measures of the size of the engine. The displacement is the total volume of air and fuel mixture that an engine can draw in during one cycle. The bore is the diameter of the cylinders. Complete parts (a) and (b) below.

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a) State and test the standard null hypothesis for the coefficient of Bore.

What are the null and alternative hypotheses?

A.H0: βBore≠0

HA :βBore=0

B. H0: βBore=0

  HA: βBore>0

C.H0 : βBore=0

HA: βBore≠0. correct answer


D. H0: βBore=0

HA: βBore<0

Determine the test statistic.

t=1.64 (Type an integer or a decimal.) correct answer

Determine the P-value.

P-value=. 1037 correct answer (Type an integer or a decimal.)

Assume α=0.05.

What is the proper conclusion?

(Reject, fail to reject) H0. There is (sufficient, insufficient) evidence that Bore has a coefficient that is

(different than zero, greater than zero, equal to 0, less than zero)

Homework Answers

Answer #1

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What is the proper conclusion?

(Reject, fail to reject) H0. There is (sufficient, insufficient) evidence that Bore has a coefficient that is

(different than zero, greater than zero, equal to 0, less than zero)

When the p-value is more than alpha, then we fail to reject the hypothesis. We say that there is insufficient evidence that Bore has a coefficient that is different than zero.

We fail to reject the Ho

There is in insufficient evidence that Bore has a coefficient that is different than zero.

Alpha = .01, p-value = .1037 ( which means that p-value > alpha - .1037 >.01)

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