Exam 7: Overview of Statistical Hypothesis Testing: the Z-Test

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When is a one-tailed test used?

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How would you report a nonsignificant z-obtained value of -.50 in a journal article?

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A

What is the relationship between N and power?

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A larger N produces greater power.

Which of the following is correct regarding experimental hypotheses?

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What happens to the probability of committing a Type I error if the level of significance is changed from α = .01 to α = .05?

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Which of the following statements does not belong

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Which of the following is correct regarding alternative hypotheses?

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Which of the following is correct regarding statistical hypotheses null hypothesis and alternative hypothesis)?

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What does the statement "p < .05" tell us in regards to a Type I error?

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If the difference between your sample mean and the known population mean is 1.961, and your population standard deviation is 5, how big of a sample size would you need to get a significant result using α = .05 and a two-tailed test?

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For α\alpha H0:μ22,Ha:μ<22,Xˉ=25,σ=5,N=9H_{0}: \mu \geq 22, H_{a}: \mu<22, \bar{X}=25, \sigma=5, N=9 and = .05, what is the appropriate outcome of a z- test?

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Which of the following tests is considered to be more powerful?

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Suppose a researcher develops a drug designed to promote sleep.Those who take this drug, on average, sleep for 8.1 hours per night whereas those who do not take it sleep for 7.5 hours per night.In the context of this study, what would the alternative hypothesis suggest?

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To determine whether a new drug designed to lower a person's heart rate is effective or not, Dr.Johnson gives the medicine to a random sample of 100 patients with Rapid Heart Rhythm RHR) and obtains a sample mean of 128.Dr.Johnson knows the heart rate of the population of individuals with RHR is 135 with σX=40\sigma_{X}=40 .If Dr.Johnson uses a one-tailed test and α = .05, what is the appropriate conclusion?

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The Physical Fitness Test National Level for Girls) shows the national average for 10­year­old girls on "right­angle push­ups" to be μ = 13.Principal Smyth hypothesizes her girls at Strong School are significantly above the national mean.If the zcrit=1.645,zobt=2.0z_{c r i t}=-1.645, z_{o b t}=-2.0 H0H_{0} HaH_{a} σX\sigma_{X} = 6 and the scores for nine girls are as reported here, compute ZabtZ_{a b t} and determine if Principal Smyth is right.Use α = .05. 14 16 18 16 12 16 17 20 15

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The population mean for the Elementary Tenacity Test ETT) is 150 with σx=25\sigma_{x}=25 A recent study of elementary school children participating in a school lunch program obtained the following ETT scores.Use a two-tailed z-test and α=0.05\alpha=0.05  The population mean for the Elementary Tenacity Test ETT) is 150 with  \sigma_{x}=25  A recent study of elementary school children participating in a school lunch program obtained the following ETT scores.Use a two-tailed z-test and  \alpha=0.05

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If ZabtZ_{a b t} = +2.21, do you reject H0H_{0} or fail to reject H0H_{0} using a two-tailed test with α = .01?

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If you have and Xˉ=17,μ=21,σ=9\bar{X}=17, \mu=21, \sigma=9 N=16N=16 , conduct a two-tailed z-test.Use α = .05.Be sure to set up your hypotheses and rejection region, calculate your z-score, and state your decision.

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Given Xˉ=115,μ=119,σ=20\bar{X}=115, \mu=119, \sigma=20 and N=144N=144 , conduct a two-tailed z-test.Use α = .05.Be sure to set up your hypotheses and rejection region, calculate your z-score, and state your decision.

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Which of the following assumptions are common to all parametric statistics?

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