Exam 3: Some Key Ingredients for Inferential Statistics: Z Scores,the Normal Curve, Sample Versus Population, and Probability

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On a test of marital intimacy,husbands' scores are normally distributed with a mean of 140 and a standard deviation of 25. a.Using the normal curve approximation rules,approximately what percentages of husbands have scores above 190,below 165,and below 115? b.Illustrate your answer with a sketch. c.Explain your answers to a person who is familiar with mean,standard deviation,and Z scores,but not with normal curve percentages.

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A)Z = 2,so 2%; Z = 1,so 84%; Z = -1,so 16% B)Not answered. C)Not answered.

Using the percentage approximations for the normal curve,the percentage of scores between the mean and one standard deviation below the mean is

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C

In a distribution of Z scores,the mean is always

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C

When discussing a population,the symbol for the mean is __________,and the symbol for the standard deviation is __________.

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The understanding of probability as the degree of certainty that a particular outcome will occur is the __________ interpretation of probability.

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If the mean score on a stress scale is 5,the standard deviation is 2,and the distribution is normal,the percentage of people who would obtain scores between 5 and 9 is

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Using a normal curve table,if a person received a test score that is in the top 32% of all test scores,the person's Z score must be at least

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If the mean score on a creativity test is 20,the standard deviation is 5,and the distribution is normal,the percentage of people who would obtain scores between 15 and 25 is

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In a housing project there are 350 households in which English is spoken,50 in which Spanish is spoken,and 100 in which the language is other than English or Spanish.If a psychologist approaches a house at random to conduct an interview,the chance that the language in that household will NOT be English is

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If the mean of a test is 13 and its standard deviation is 3,the Z score for a person with a raw score of 7 is

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A developmental psychologist was interested in how long it would take a particular 7-year-old child to complete three different aptitude tests as compared with 7-year-olds in the general population.The child's time for reading was 31 minutes (population: M = 29,SD = 4).For math,it was 26 minutes (population: M = 32,SD = 2).For science,it was 40 minutes (population: M = 31,SD = 4). a.Calculate the child's Z scores for each of the aptitude tests. b.Which aptitude test(s)took the child substantially more time to complete as compared with other 7-year-olds? c.Which aptitude test(s)took the child substantially less time to complete as compared with other 7-year-olds? d.Explain your answers to someone who has never had a course in statistics.

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The understanding of probability as the proportion of a particular outcome that will be obtained if an experiment is repeated many times is the __________ interpretation of probability.

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The larger group to which a researcher makes inferences based on the particular group of participants studied is a(n)__________.

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The mean,standard deviation,and variance of a sample are called sample __________.

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The traditional view about the normal curve in psychology is that normal curves are

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The length of conversations between supervisors and workers in a certain manufacturing industry is normally distributed with a mean of 4.0 minutes and a standard deviation of 0.8 minutes. a.Use the normal curve table to determine the percentage of conversations that are longer than 4.4 minutes,longer than 5 minutes,longer than 3 minutes,and shorter than 2 minutes. b.Illustrate your answer with a sketch. c.Explain your answers to a person who is familiar with mean,standard deviation,and Z scores,but not with normal curve percentages.

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The formula for changing a Z score to a raw score is __________.

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The probability rule that applies when figuring the probability of getting both of two independent outcomes is the

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Using a normal curve table,if a person has a music aptitude score of 41,which equals a Z score of 1.3,the percentage of people having a higher score is

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In a standardized distribution,the mean is always __________ and the standard deviation is always __________.

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