Exam 9: Hypothesis Testing and Effect Size: One-Sample Designs

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Many manufacturers of light bulbs advertise their 75 watt bulbs as having a life of 750 hours Suppose two electrically minded students wired up 12 bulbs so that elapsed time was recorded when the bulbs failed. The following statistics were obtained. Perform a t test, calculate the effect size index, and write a conclusion about the manufacturers' claim. Σ\Sigma X = 8820 Σ\Sigma X2 = 6,487,100 N = 12

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Xˉ=735\bar { X } = 735 hours \quad s^=20.00sX=5.774\hat { s } = 20.00 \quad s _ { X } = 5.774
t=7357505.774=2.60;df=11t.05(11df)=2.201\begin{array} { l } t = \frac { 735 - 750 } { 5.774 } = - 2.60 ; \quad d f = 11 \\t _ { .05 } ( 11 d f ) = 2.201\end{array} The mean number of hours that the 75 watt bulbs burned (735) was significantly less than the advertised claim of 750 hours, p < .05.
d=73575020.00=0.75d = \frac { 735 - 750 } { 20.00 } = - 0.75 The effect size index, 0.75, indicates that burning 735 hours instead of 750 is a statistically large effect (almost).

"p < .05"means that

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A medium effect size index value is 0.50.

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The statistical technique of null hypothesis statistical testing (NHST) is designed to test a hypothesis about

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Data Set 9-2: Scores: 1, 2, 3, 4, 5 -The t value you calculated when the scores in Data Set 9-2 were tested against H0: µ = 1.00 leads to the conclusion that the null hypothesis should be

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When we reject the null hypothesis, we have evidence that the difference observed is

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Which phrase goes with "in the rejection region"?

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Null hypothesis statistical testing (NHST) uses ______________ data to tell whether the ____________came from a(n)______________ population.

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Which of the following describes the sample of Doritos tortillas weights analyzed in your text?

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Using the statistic p and null hypothesis statistical testing, you can

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The symbol for an effect size index is p.

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An effect size index is most closely associated with which phrase below?

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Data Set 9-3: N = 8 Σ\Sigma X = 48 Σ\Sigma X2 = 351 -Refer to Data Set 9-3. For H0: µ = 2.00, the effect size index is

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Data Set 9-4: N = 6 Σ\Sigma X = 30 Σ\Sigma X2 = 180 -The t value when the scores in Data Set 9-4 are tested against H0: μ\mu = 3.00 leads to the conclusion that the null hypothesis be

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A null hypothesis is a statement about

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For a one-sample t test, which of the following pairs of values qualify as large effect sizes

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Adopting an arbitrary point to separate differences "attributed to chance"from those "not attributed to chance"was first done by scientists working in the field of

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Data Set 9-4: N = 6 Σ\Sigma X = 30 Σ\Sigma X2 = 180 -The t value when the scores in Data Set 9-4 are tested against H0: µ = 8.00 leads to the conclusion that the null hypothesis be

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Howell and Nurcombe (1984) examined 6 month-old infants who were low birthweight babies when they were born. Each child was rated on the Bayley Psychomotor Development Index. The population mean for this test is 100 and high scores mean better performance. Perform a t test, calculate the effect size index, and write a conclusion about what to expect (on the average) of low birthweight babies.102 , 96 , 110 , 99 , 112 , 103 , 99 , 109 , 107 , 104

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A t test value that is larger than the tabled value of t

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