Exam 4: Exploring Data: Variability

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Data Set 4-6: -1, 3, 0, 2, 1 -Referring to Data Set 4-6, the range is

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The formula for the standard deviation of a sample used to estimate ? has N in the denominator.

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The supervisor had to select a new aircraft controller (who watches planes on radar and gives instructions). The task requires sustained vigilance. Some selection had already been accomplished and of the three remaining applicants the most reliable was to be chosen. In a sample of their proficiency, the following reaction times were found. Calculate statistics that allow you to choose the most consistent applicant. Scores are in seconds. Applicant A Applicant B Applicant C 1.4 1.3 1.5 2.6 2.7 2.5 1.7 1.6 1.8 3.4 3.5 3.3

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"Yippie,"yelled Yerkes, the mad genealogist, "I now have birth weight data of every Yerkes ever born. I am the last of the Yerkes, and I am sterile. Now, you can calculate the appropriate birth weight standard deviation of the Yerkes for me!"Given the data: Σ\Sigma X = 70, Σ\Sigma X 2=499,N=10, what is that standard deviation?

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Which of the following contains an expression of variability about Joe?

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The range is the distance between the two extreme scores divided by 2.

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The statistic that is used to estimate σ\sigma is

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Calculating a deviation score requires a standard deviation.

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Jason was faced with a decision. All his old chain saws were worn out; he needed a new supply for his next 13 movies. He took bids from three manufacturers for 100 chain saws and all three quoted him a unit price of $304.25. Young Jason, who was no dummy, wanted the best quality. He decided that quality could be measured by a standard deviation. His reasoning was that careful manufacturing produces a batch of parts that are practically identical; sloppy manufacturing produces a batch that is quite variable. If he focused on a representative part (the sprocket) and measured (in millimeters) five of them from each manufacturer, he could produce an objective measure of quality that could be applied to the decision on the 100 saws he needed. Give poor Jason some help. From the data below, calculate that measure and write a sentence or paragraph that explains why you recommend a particular saw. Sprockets 1 2 3 4 5 McCulloch 25.0 25.7 25.9 25.3 25.5 Stihl 30.7 31.4 30.9 31.0 30.9 Husqvarna 34.8 35.0 35.2 34.9 35.0

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Which of the following may be a negative number?

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If the standard deviation of a distribution is less than one, the variance will be ________ than the standard deviation.

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Data Set 4-6: -1, 3, 0, 2, 1 -In Data Set 4-6 the score of 0 has a deviation score of

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If the variance of a distribution is an integer (other than one or zero), the standard deviation will be _______ than the variance.

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XXˉX - \bar { X } is

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Data Set 4-8: 2, -2, 4, 6 -For Data Set 4-8, a raw score of zero would have a deviation score of

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Data Set 4-8: 2, -2, 4, 6 -Using Data Set 4-8 as a sample, estimate the population.

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Data Set 4-6: -1, 3, 0, 2, 1 -Which of the following distributions of scores is less variable than Data Set 4-6? (You should be able to answer by just by eyeballing the numbers.)

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Which of the following is false?

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The statistic that is an estimate of σ\sigma 2 is

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Data Set 4-3: -2, -1, 0, 2, 6 -Refer to Data Set 4-3. The range is

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