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A hypothesis test is used to test the hypotheses H0: μ = 10.5 versus HA: μ...

A hypothesis test is used to test the hypotheses H0: μ = 10.5 versus HA: μ > 10.5 where μ = the mean weight of a one-year old tabby cat. Based on a random sample of 21 cats, a p-value of 0.0234 is found.

a) Using α = 0.05, what is the conclusion for this test, reject or fail to reject the null hypothesis?

b) Based on your answer to part b, what type of error did you possibly make, Type I or Type II?

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Answer #1

a)

p-Value   =     0.0234
Decision:   p-value<α, Reject null hypothesis

Conclusion: There is enough evidence to the mean weight of a one-year old tabby cat is different than 10.5

b)

Here we have rejected null hypthesis , hence

Type I error is the rejection of a true null hypothesis (also known as a "false positive" finding or conclusion)

Please revert back in case of any doubt.

Please upvote. Thanks in advance.

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