Examples of Problems Requiring Sampling Distributions

Examples of Problems Requiring Sampling Distributions -...

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A consumer survey indicates that the average household spends u=$155.00 on groceries each week. The distribution of spending amounts is approximately normal with a standard deviation (sigma) = $25.00. Based on this distribution: a) What proportion of the population spends more than $175.00 per week in groceries? b) What is the probability of randomly sampling a family that spends less than $130.00/week? c) What is the probability that a random sample of 16 families spends less than 130.00 a week?
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-2- IQ’s of the population of high school students have a mean of 100 and a standard deviation of 15. a) What is the probability of randomly picking a student at a nearby high school who has an IQ of 107? b) What is the probability of finding a random sample of 49 high school students who have an average IQ of 107?
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Unformatted text preview: -3-The standard deviation of a population of scores helps us locate that score in a normal distribution of scores and helps us to determine the probability of randomly sampling a particular score. The standard error of the mean of a particular sampling distribution of means helps us to locate a sample mean in that distribution and helps us to determine the probability of that sample mean.-4-What is the probability of randomly selecting a sample of 4 students with an average IQ of 107? What is the probability of randomly selecting a sample of 9 students with an average IQ of 107? What is the probability of selecting a sample of 16 students with an average IQ of 107? What is the probability of selecting a sample of 25 students with an average IQ of 107? A random sample of 36 students?...
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Examples of Problems Requiring Sampling Distributions -...

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