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Statistics for the Behavorial Sciences 9th Edition Chap. 9

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(Sm) used as an estimate of the real standard error (Om), when the value of O is unknown. Computed from the sample variance or sample standard deviation and provides an estimate of the standard distance between a sample mean M and the population mean U.   estimated standard error  
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used to test hypotheses about an unknown population mean, U, when the value of O is unknown.   t statistic  
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describes the number of scores in a sample that are independent and free to vary. (n -1)   degrees of freedom  
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the complete set of t values computed for every possible random sample size (n) or a specific degrees of freedom (df). Approximates the shape of normal distribution.   t distribution  
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Under what circumstances is a t statistic used instead of a z-score for a hypothesis test?   A t statistic is used instead of a z-score when the population standard deviation and variance are not known.  
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A sample of n=9 scores has SS = 288. Compute the variance for the sample.   36  
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A sample of n=9 scores has SS = 288. Compute the estimated standard error for the sample mean.   2  
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True or False. In general a distribution of t statistics is flatter and more spread out than the standard normal distribution.   True - As sample size and df increase, the variability in the t distribution decreases, and more closely resembles a normal distribution.  
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A researcher reports a t statistic with df = 20. How many individuals participated in the study.   n = 21  
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For df=15, find the value(s) of t associated with the top 5% of the distribution.   +1.753  
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For df=15, find the value(s) of t associated with the middle 95% of the distribution.   +-2.131  
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For df=15, find the value(s) of t associated with the middle 99% of the distribution.   +-2.947  
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Sample = n=4, U=40 Treatment sample = M=44, variance s2=16. Is this sample sufficient to conclude that the treatment has a significant effect?   No - Fail to reject H0, treatment does not have a significant effect  
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Sample = n=4, U=40 Treatment sample = M=44, variance s2=16. If all factors remained constant and sample size increased to n = 16, is sample sufficient to prove significant effect?   Yes, Reject NO. Treatment has significant effect.  
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an interval or range of values, centered around a sample statistic.   confidence interval  
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If all other factors are held constant, an 80% confidence interval is wider than a 90% confidence interval. (True or False?)   False - Greater confidence requires wider interval.  
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If all other factors are held constant, a confidence interval computed from a sample of n=25 is wider than a confidence interal computed from a sample of n = 100.   True. The smaller sample produces a wider interval.  
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