The managers of a home improvement chain are trying to decide if the chain should switch the type of paint that it uses for its house brand. The chain developed a proprietary method to test and measure the paint for consistent color tone between batches, which it calls the consistency rating. The company then found the consistency rating for 11 of the same colors from each type of paint. Assume that the conditions for this hypothesis test are satisfied. The company tests the paired data, where α=0.10, in order to evaluate the claim that the true mean difference between the current paint rating and the new paint rating is significantly different from zero. (a) Which answer choice shows the correct null and alternative hypotheses for this test? Select the correct answer below: H0:μd≠0, Ha:μd=0, which is a two-tailed test. H0:μd=0, Ha:μd<0, which is a left-tailed test. H0:μd=0, Ha:μd≠0, which is a two-tailed test. H0:μd=0; Ha:μd>0, which is a right-tailed test.
The managers of a home improvement chain are trying to decide if the chain should switch the type of paint that it uses for its house brand. The chain developed a proprietary method to test and measure the paint for consistent color tone between batches, which it calls the consistency rating. The company then found the consistency rating for 11 of the same colors from each type of paint. Assume that the conditions for this hypothesis test are satisfied.
The company tests the paired data, where α=0.10, in order to evaluate the claim that the true mean difference between the current paint rating and the new paint rating is significantly different from zero.
(a) Which answer choice shows the correct null and alternative hypotheses for this test?
Select the correct answer below:
H0:μd≠0, Ha:μd=0, which is a two-tailed test.
H0:μd=0, Ha:μd<0, which is a left-tailed test.
H0:μd=0, Ha:μd≠0, which is a two-tailed test.
H0:μd=0; Ha:μd>0, which is a right-tailed test.
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