Exam 7: Sampling and Sampling Distributions

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The sample proportion is an unbiased estimate of the population proportion.

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Suppose a sample of n = 50 items is selected from a population of manufactured products and the weight, X, of each item is recorded. Prior experience has shown that the weight has a probability distribution with μ = 6 ounces and σ = 2.5 ounces. Which of the following is true about the sampling distribution of the sample mean if a sample of size 15 is selected?

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Which of the following sampling methods is a probability sample?

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An unbiased estimator will have a value, on average across samples, equal to the population parameter value.

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The standard error of the mean

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A telemarketer set the company's computerized dialing system to contact every 25th person listed in the local telephone directory. What sampling method was used?

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Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in a recent year. Suppose a sample of 100 major league players was taken. What was the standard error for the sample mean salary?

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Since a ________ is not a randomly selected probability sample, there is no way to know how well it represents the overall population.

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The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with mean of 3.2 pounds and standard deviation of 0.8 pound. What percentage of samples of 4 fish will have sample means between 3.0 and 4.0 pounds?

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To find out the potential impact of a new zoning law on a neighborhood, the legislators conduct a focus group interview by inviting the members of the housing owners association of that neighborhood. This is an example of a

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________ results from the failure to collect data on all subjects in the sample.

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The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with mean of 3.2 pounds and standard deviation of 0.8 pound. If a sample of 25 fish yields a mean of 3.6 pounds, what is the Z-score for this observation?

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Which of the following yields a simple random sample?

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Sampling distributions describe the distribution of

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Sales prices of baseball cards from the 1960s are known to possess a right-skewed distribution with a mean sale price of $5.25 and a standard deviation of $2.80. Suppose a random sample of 100 cards from the 1960s is selected. Describe the sampling distribution for the sample mean sale price of the selected cards.

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The question "Is your household income last year somewhere between $50,000 and $100,000?" will most likely result in coverage error.

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TABLE 7-5 According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase. Random samples of size 50 are selected. -Referring to Table 7-5, what is the probability that a random sample of 50 will have at least 30% of customers who will make a purchase after visiting the web site?

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The fact that the sample means are less variable than the population data can be observed from the standard error of the mean.

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The amount of tea leaves in a can from a particular production line is normally distributed with μ = 110 grams and σ = 25 grams. A sample of 25 cans is to be selected. So, 95% of all sample means will be greater than how many grams?

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TABLE 7-5 According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase. Random samples of size 50 are selected. -Referring to Table 7-5, the mean of all the sample proportions of customers who will make a purchase after visiting the web site is ________.

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