A scientist has read that the mean birth weight, μ, of babies born at full term is 7.2 pounds. The scientist, believing that μ is less than this value, plans to perform a statistical test. She selects a random sample of birth weights of babies born at full term and finds the mean of the sample to be 6.9 pounds and the standard deviation to be 1.7 pounds. Based on this information, answer the questions below. What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test? H0: (choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to. (choose one) 6.9 pounds, 7.2 pounds, or 1.7 pounds. H1: (Choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to. (Choose one) 6.9 pounds, 7.2 pounds, or 1.7 pounds. In the context of this test, what is a Type II error? A type II error is (choose one) rejecting or failing to reject the hypothesis the μ is (choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to (Choose one) 6.9 pounds, 7.2 pounds, or 1.7 pounds, when, in fact, μ is (choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to (Choose one) 6.9 pounds, 7.2 pounds, or 1.7 pounds. Suppose that we decide to reject the null hypothesis. What sort of error might we be making? (Choose one) Type I or Type II
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A scientist has read that the mean birth weight, μ, of babies born at full term is
7.2 pounds. The scientist, believing that μ is less than this value, plans to perform a statistical test. She selects a random sample of birth weights of babies born at full term and finds the mean of the sample to be 6.9 pounds and the standard deviation to be 1.7 pounds.
Based on this information, answer the questions below.
- What are the null hypothesis (H0) and the alternative hypothesis (H1) that should be used for the test?
H0: (choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to.
(choose one) 6.9 pounds, 7.2 pounds, or 1.7 pounds.
H1: (Choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to.
(Choose one) 6.9 pounds, 7.2 pounds, or 1.7 pounds.
- In the context of this test, what is a Type II error?
A type II error is
(choose one) rejecting or failing to reject the hypothesis the μ is
(choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to
(Choose one) 6.9 pounds, 7.2 pounds, or 1.7 pounds, when, in fact, μ is
(choose one) less than, less than or equal to, greater than, greater than or equal to, equal to, or not equal to
(Choose one) 6.9 pounds, 7.2 pounds, or 1.7 pounds.
- Suppose that we decide to reject the null hypothesis. What sort of error might we be making? (Choose one) Type I or Type II
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