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1. Ginger root is used by many as a dietary supplement. A manufacturer of supplements
produces capsules that are advertised to contain at least 500 mg. of ground ginger root. A
consumer advocacy group doubts this claim and tests the hypotheses H0: ? = 500 Ha: ? < 500
based on measuring the amount of ginger root in a SRS of 100 capsules. Suppose the results of
the test fail to reject H0 when, in fact, the alternative hypothesis is true. In this case the consumer
advocacy group will have
a. committed a Type I error.
b. committed a Type II error.
c. no power to detect a mean of 500.
2. A researcher reports that a test is "significant at 5%." This test will be
a. Significant at 1%.
b. Not significant at 1%.
c. Significant at 10%.
3. Suppose the average Math SAT score for all students taking the exam this year is 480 with
standard deviation 100. Assume the distribution of scores is normal. The senator of a particular
state notices that the mean score for students in his state who took the Math SAT is 500. His state
recently adopted a new mathematics curriculum and he wonders if the improved scores are
evidence that the new curriculum has been successful. Since over 10,000 students in his state