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Published byBertram Sullivan Modified over 4 years ago

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Quiz 7 Hypothesis testing of single samples z-test and t-test

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**1. Which of the following pair of statistical hypotheses is NOT valid?**

a) H0: μ = 82 kg H1: μ ≠ 82 kg b) H0: μ ≥ 82 kg H1: μ < 82 kg c) H0: μ < 82 kg H1: μ > 82 kg d) H0: μ ≤ 82 kg H1: μ > 82 kg

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**2. The diagram at bottom is an example of a ________ test.**

a) one-tailed, right b) two-tailed c) directional d) one-tailed, left

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**3. What does a mean? a) probability of a Type I error**

b) probability of a Type II error c) power of a statistical test d) area in non-critical region

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**4. Power of a statistical test is defined _______.**

a) by 1 — a b) by b c) as chance of getting a Type I error d) as the ability to detect a real difference

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**5. The z-distribution should be used to test a sample mean when ______.**

a) s is known b) sample size is < 30 c) data are not normally distributed d) sample size is > 30

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6. The t-test for testing a single sample mean may be used when all of the following conditions are true excepting _______. a) data are approximately normally distributed b) population SD (s) is known c) sample size less than 30 d) sample SD (s) is known

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**7. Given a population with mean 12. 5 seconds and SD of 2**

7. Given a population with mean 12.5 seconds and SD of 2.5 s, calculate the test value of a sample of 20 people with a mean of 13.6 s representative of the population? Use a=0.05. a) b) c) 1.968 d) 1.100

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**8. A sample of 12 scores has a mean of 25. 0 newtons with SD of 5. 8 N**

8. A sample of 12 scores has a mean of 25.0 newtons with SD of 5.8 N. Given a pop. mean of 30.0 N what test value should be use to test whether it is the same as the pop. mean (a=0.05)? a) 8.37 b) 1.783 c) d) -5.00

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