Exam 8: Sampling Distributions

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The standard deviation of The standard deviation of   is also called the: is also called the:

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A CPA knows from past history that the average accounts receivable for a company is $521.72 with a standard deviation of $584.64. If the auditor takes a simple random sample of 100 accounts, what is the probability that the mean of the sample is within $120 of the population mean?

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Graduate Internships The chairman of the Biology department in a certain college believes that 70% of the department's graduate internships are given to international students. A random sample of 50 graduate interns is taken. -{Graduate Internships Narrative} Find the expected value and the standard error of the sampling distribution of Graduate Internships The chairman of the Biology department in a certain college believes that 70% of the department's graduate internships are given to international students. A random sample of 50 graduate interns is taken. -{Graduate Internships Narrative} Find the expected value and the standard error of the sampling distribution of   . .

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If the population is normal, then If the population is normal, then   is normally distributed for __________________ values of n. is normally distributed for __________________ values of n.

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Average Annual Revenue Suppose that the average annual revenue of a small business is $150,000 with a standard deviation of $40,000. Assume that the revenue distribution is normal. -{Average Annual Revenue Narrative} What is the probability that one business selected at random makes less than $120,000?

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Given that X is a binomial random variable with very large n, the binomial probability P(X \le 5) is approximated by the area under a normal curve to the left of

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Graduate Internships The chairman of the Biology department in a certain college believes that 70% of the department's graduate internships are given to international students. A random sample of 50 graduate interns is taken. -{Graduate Internships Narrative} What is the probability that the sample proportion  Graduate Internships The chairman of the Biology department in a certain college believes that 70% of the department's graduate internships are given to international students. A random sample of 50 graduate interns is taken. -{Graduate Internships Narrative} What is the probability that the sample proportion   is within  \pm .05 of the population proportion p? is within ±\pm .05 of the population proportion p?

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Heights of Men The heights of men in the USA are normally distributed with a mean of 68 inches and a standard deviation of 4 inches. -{Heights of Men Narrative} A random sample of five men is selected. What is the probability that the sample mean is greater than 70 inches?

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The estimator of the probability of success in a binomial distribution is: ____________________.

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Heights of Men The heights of men in the USA are normally distributed with a mean of 68 inches and a standard deviation of 4 inches. -{Heights of Men Narrative} What is the probability that the mean height of a random sample of 36 men is greater than 70 inches?

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What is the probability that the sample mean is between 2,000 and 2,300 magazines?

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Number of Fish Tanks: The following data give the number of fish tanks owned for a population of 4 families. Number of Fish Tanks: The following data give the number of fish tanks owned for a population of 4 families.    -A sample of size 2 is drawn at random from the population. Use the formulas   and   to calculate the mean and the standard deviation of the sampling distribution of the sample means. -A sample of size 2 is drawn at random from the population. Use the formulas Number of Fish Tanks: The following data give the number of fish tanks owned for a population of 4 families.    -A sample of size 2 is drawn at random from the population. Use the formulas   and   to calculate the mean and the standard deviation of the sampling distribution of the sample means. and Number of Fish Tanks: The following data give the number of fish tanks owned for a population of 4 families.    -A sample of size 2 is drawn at random from the population. Use the formulas   and   to calculate the mean and the standard deviation of the sampling distribution of the sample means. to calculate the mean and the standard deviation of the sampling distribution of the sample means.

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In an effort to identify the true proportion of college freshman who are under 18 years of age, a random sample of 500 freshmen was taken. Fifty of them were under the age of 18. The value 0.10 is a point estimate of the true proportion of freshman under age 18.

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The finite population correction factor should be used:

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Heights of Men The heights of men in the USA are normally distributed with a mean of 68 inches and a standard deviation of 4 inches. -{Heights of Men Narrative} What is the probability that a randomly selected man is taller than 70 inches?

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As a general rule, the normal distribution is used to approximate the sampling distribution of the sample proportion only if the sample size n is greater than or equal to 30.

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Because the value of the ____________________ varies from sample to sample, we can regard it as a new random variable, created by sampling.

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The accuracy of the approximation of The accuracy of the approximation of   with a normal distribution depends on the probability distribution of the ____________________ and on the sample ____________________. with a normal distribution depends on the probability distribution of the ____________________ and on the sample ____________________.

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The amount of time it takes to complete a final examination is negatively skewed distribution with a mean of 70 minutes and a standard deviation of 8 minutes. If 64 students were randomly sampled, the probability that the sample mean of the sampled students exceeds 73.5 minutes is approximately 0.

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A sample of size n is selected at random from an infinite population. As n increases, which of the following statements is true?

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