Exam 6: Probability, Normal Distributions, and Z Scores

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In a normal distribution,the probability of a score above the mean is larger than the probability of a score between first standard deviation above and below the mean.

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A binomial probability distribution is the distribution of random outcomes for a bivariate or dichotomous random variable.

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A researcher records the following number of birdcalls made during an experimental session with robins: 7.2 A researcher records the following number of birdcalls made during an experimental session with robins: 7.2   0.6 (M   SD).Assuming these data are normally distributed,what is the probability that robins made more than 9 birdcalls during this experimental session? 0.6 (M A researcher records the following number of birdcalls made during an experimental session with robins: 7.2   0.6 (M   SD).Assuming these data are normally distributed,what is the probability that robins made more than 9 birdcalls during this experimental session? SD).Assuming these data are normally distributed,what is the probability that robins made more than 9 birdcalls during this experimental session?

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The closer a z score is to 0,the smaller the area is under the normal curve toward the tails.

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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 right of the mean,or the area between z = ±1.00.

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What is the z score for scores in the top 2.5%?

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A researcher records the following times (in seconds)that it took a group of mice to complete a maze: 23 A researcher records the following times (in seconds)that it took a group of mice to complete a maze: 23   4.1 (M   SD).The top 10% of mice finishing with the fastest times will be placed in a maze bright group.What is the cutoff time to be placed in this group? 4.1 (M A researcher records the following times (in seconds)that it took a group of mice to complete a maze: 23   4.1 (M   SD).The top 10% of mice finishing with the fastest times will be placed in a maze bright group.What is the cutoff time to be placed in this group? SD).The top 10% of mice finishing with the fastest times will be placed in a "maze bright" group.What is the cutoff time to be placed in this group?

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An assumption of normality is largely used for statistical inference and theory.

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In a normal distribution,the mean can only take on positive values.

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A researcher records the following time spent sleeping per night (in hours)in a group of participants: 5.8 A researcher records the following time spent sleeping per night (in hours)in a group of participants: 5.8   1.8 (M   SD).The researcher decides to categorize participants who sleep between 6 to 8 hours as moderate sleepers.What percentage of participants fell in this category? 1.8 (M A researcher records the following time spent sleeping per night (in hours)in a group of participants: 5.8   1.8 (M   SD).The researcher decides to categorize participants who sleep between 6 to 8 hours as moderate sleepers.What percentage of participants fell in this category? SD).The researcher decides to categorize participants who sleep between 6 to 8 hours as moderate sleepers.What percentage of participants fell in this category?

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Data were normally distributed as 3.6 Data were normally distributed as 3.6    0.6 (M    SD).Hence,69.15% of data occurred below a score of 3.9 in this distribution. 0.6 (M Data were normally distributed as 3.6    0.6 (M    SD).Hence,69.15% of data occurred below a score of 3.9 in this distribution. SD).Hence,69.15% of data occurred below a score of 3.9 in this distribution.

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A researcher selected data that were normally distributed,and appropriately concluded that about 68.26% of scores occurred within one standard deviation of the mean.

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What is the z score for scores in the bottom 5%?

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A researcher records the following body mass index (BMI)scores for a group of participants: 28.4 A researcher records the following body mass index (BMI)scores for a group of participants: 28.4   1.6 (M   SD).Participants who score between 25 and 30 on this scale are categorized as overweight.What percentage of participants fell in this category? 1.6 (M A researcher records the following body mass index (BMI)scores for a group of participants: 28.4   1.6 (M   SD).Participants who score between 25 and 30 on this scale are categorized as overweight.What percentage of participants fell in this category? SD).Participants who score between 25 and 30 on this scale are categorized as overweight.What percentage of participants fell in this category?

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For a set of data with 25±2.5,at least 95% of scores fall between 20 and 30.

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Two normal distributions are observed.The first distribution has a mean of 12 and a standard deviation of 2.The second distribution has a mean of 0 and a standard deviation of 2.For which distribution will the z score for the mean be larger?

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In a normal distribution,the probability of a score above -1.0 SD is equal to the probability of a score below +1.0 SD.

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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 = 1.00,or the area to the left of z = -1.00.

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A researcher records the following assessment data: 42 A researcher records the following assessment data: 42   6 (M   SD).The researcher only wants to sample participants scoring in the top 20% of this assessment.What is the cutoff score for the top 20% in this example? 6 (M A researcher records the following assessment data: 42   6 (M   SD).The researcher only wants to sample participants scoring in the top 20% of this assessment.What is the cutoff score for the top 20% in this example? SD).The researcher only wants to sample participants scoring in the top 20% of this assessment.What is the cutoff score for the top 20% in this example?

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The unit of measurement distributed along the x-axis of a standard normal distribution is referred to as a

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