Exam 6: Probability, Normal Distributions, and Z Scores

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The asymptotic tails in a normal distribution represent the possibility of outliers in a data set.

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A researcher measures the number of tasks completed by participants during a 5-minute multitasking session.If the number of tasks completed is distributed normally as 6.3 A researcher measures the number of tasks completed by participants during a 5-minute multitasking session.If the number of tasks completed is distributed normally as 6.3   1.0 (M   SD)tasks,then what is the probability that participants completed less than 8 tasks? 1.0 (M A researcher measures the number of tasks completed by participants during a 5-minute multitasking session.If the number of tasks completed is distributed normally as 6.3   1.0 (M   SD)tasks,then what is the probability that participants completed less than 8 tasks? SD)tasks,then what is the probability that participants completed less than 8 tasks?

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A researcher records the following response times to a visual stimulus: 23 A researcher records the following response times to a visual stimulus: 23   3.1 (M   SD)seconds.Assuming these data are normally distributed,what is the probability that participants responded in 20 seconds or less? 3.1 (M A researcher records the following response times to a visual stimulus: 23   3.1 (M   SD)seconds.Assuming these data are normally distributed,what is the probability that participants responded in 20 seconds or less? SD)seconds.Assuming these data are normally distributed,what is the probability that participants responded in 20 seconds or less?

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The standard normal distribution is normally distributed with a mean of ____ and a variance of ____.

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A professor records the following final exam scores: 78 A professor records the following final exam scores: 78   7 (M   SD).Students scoring in the top 14% get an A.What is the cutoff score for the top 14% in this example? 7 (M A professor records the following final exam scores: 78   7 (M   SD).Students scoring in the top 14% get an A.What is the cutoff score for the top 14% in this example? SD).Students scoring in the top 14% get an A.What is the cutoff score for the top 14% in this example?

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The z score cutoff for the top 50 percent of scores in any normal distribution is 0.

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What is the implication for the tails of a normal distribution being asymptotic?

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The binomial probability distribution is distributed with The binomial probability distribution is distributed with    ,and    =   . ,and The binomial probability distribution is distributed with    ,and    =   . = The binomial probability distribution is distributed with    ,and    =   . .

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State whether the first area is bigger,the second area is bigger,or the two areas are equal: the area to the left of z = 0.80,or the area to the right of z = -0.80.

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Most behavioral phenomena are believed to approximate the normal distribution.

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The following distribution most closely approximates a The following distribution most closely approximates a

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A researcher finds that the average preschool-aged child drinks two cups of milk per day.Assuming these data are normally distributed,the z score for the average cups per day in this example is

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For a set of data with 5±1.5,at least 95% of scores are greater than 3.0.

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Which of the following is not a step to locate a proportion in a normal distribution?

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Data are normally distributed as 12.5 Data are normally distributed as 12.5    0.5 (M    SD).A score of 13.2 marks the top 33% of scores in this distribution. 0.5 (M Data are normally distributed as 12.5    0.5 (M    SD).A score of 13.2 marks the top 33% of scores in this distribution. SD).A score of 13.2 marks the top 33% of scores in this distribution.

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All z scores above the mean are positive,whereas all z scores below the mean are negative.

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A parent decides to reward her child if he eats an average of at least five bites of his vegetables at dinner during the first week.She finds that her child ate 4 A parent decides to reward her child if he eats an average of at least five bites of his vegetables at dinner during the first week.She finds that her child ate 4   0.8 (M   SD)bites per meal for the first week.Assuming these data are normally distributed,should this parent reward her child? 0.8 (M A parent decides to reward her child if he eats an average of at least five bites of his vegetables at dinner during the first week.She finds that her child ate 4   0.8 (M   SD)bites per meal for the first week.Assuming these data are normally distributed,should this parent reward her child? SD)bites per meal for the first week.Assuming these data are normally distributed,should this parent reward her child?

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The mean can take on any value and the standard deviation can take on any positive value.Therefore,

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Which proportion is largest in a z distribution?

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What is the z score for scores in the bottom 10%?

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