Exam 7: Sampling and Sampling Distributions

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The Central Limit Theorem states that as sample size increases,the population distribution more closely approximates a normal distribution.

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Whenever the population has a normal distribution,the sampling distribution of is a normal or near normal distribution

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If a population is known to be normally distributed,then it follows that the sample standard deviation must equal σ.

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The sample standard deviation s is an unbiased estimator of the population standard deviation σ.

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The sampling distribution of must be a normal distribution with mean = 0 and standard deviation = 1.

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The sampling distribution of the sample mean is developed by repeatedly taking samples of size n and computing the sample means and reporting the resulting sample means in the form of a probability distribution.

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A theorem that allows us to use the normal probability distribution to approximate the sampling distribution of sample means and sample proportions whenever the sample size is large is known as _______________.

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If a population is known to be normally distributed,then it follows that the sample mean must equal the population mean.

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A golf tournament organizer is attempting to determine whether hole (pin)placement has a significant impact on the average number of strokes for the 13th hole on a given golf course.Historically,the pin has been placed in the front right corner of the green,and the historical mean number of strokes for the hole has been 4.25,with a standard deviation of 1.6 strokes.On a particular day during the most recent golf tournament,the organizer placed the hole (pin)in the back left corner of the green.64 golfers played the hole with the new placement on that day.Determine the probability of the sample average number of strokes exceeding 4.75.

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As the sample size ___________,the standard deviation of the population of all sample proportions increases.

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The quantity √[(N − n)(N − 1)] is called the finite population multiplier.

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A random sample of size 1,000 is taken from a population where p = .20.Describe the sampling distribution of .

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