Exam 7: Sampling and Sampling Distributions

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

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A random sample of size 36 is taken from a population with mean 50 and standard deviation 5.The sampling distribution of A random sample of size 36 is taken from a population with mean 50 and standard deviation 5.The sampling distribution of   ____________________. ____________________.

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The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.A sample of four metal sheets is randomly selected from a batch.What is the probability that the average length of a sheet is between 30.25 and 30.35 inches long?

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In the upcoming governor's election,the most recent poll based on 900 respondents predicts that the incumbent will be reelected with 55% of the votes.For the sake of argument,assume that 51% of the actual voters in the state support the incumbent governor (p = 0.51).Calculate the probability of observing a sample proportion of voters 0.55 or higher supporting the incumbent governor.

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A random sample of size 1,000 is taken from a population where p = .20.What is A random sample of size 1,000 is taken from a population where p = .20.What is   ? ?

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According to a hospital administrator,historical records over the past 10 years have shown that 20% of the major surgery patients are dissatisfied with after-surgery care in the hospital.A scientific poll based on 400 hospital patients has just been conducted. What is the probability that at least 70 patients will not be satisfied with the after-surgery care?

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For any sampled population,the population of all sample means is approximately normally distributed.

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If a sample size is at least _____,then for any sampled population,we can conclude that the sample means are approximately normal.

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A manufacturing company measures the weight of boxes before shipping them to the customers.If the box weights have a population mean and standard deviation of 90 lbs.and 24 lbs.respectively,then based on a sample size of 36 boxes,the probability that the average weight of the boxes will be less than 84 lbs.is:

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The number of defectives in the samples of 100 observations each is the following: 1,2,1,0,2,3,1,4,2,1.What is the estimate of the population proportion of defectives?

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If the sampled population is exactly normal distribution,then the sampling distribution of If the sampled population is exactly normal distribution,then the sampling distribution of   is also expected to be normal regardless of the sample size. is also expected to be normal regardless of the sample size.

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As the sample size increases,the standard deviation of the sampling distribution increases.

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The reason sample variance has a divisor of n-1 rather than n is that it makes the variance an unbiased estimate of the population variance.

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We can randomly select a sample from an infinite population of potential process measurements by sampling the process at different and equally spaced time points.

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

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Find Find

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