Exam 7: Sampling Distributions and Sampling

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If you randomly select a student from the first row of a business statistics class and then every other 5 students thereafter until you get a sample of 20 students, this is an example of a chunk sample.

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Which of the following statements about the sampling distribution of the sample mean is incorrect?

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The amount of bleach a machine pours into bottles has a mean of 36 oz. with a standard deviation of 0.15 oz. Suppose we take a random sample of 36 bottles filled by this machine. The probability that the mean of the sample exceeds 36.01 oz. is ____.

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TABLE 7-7 Online customer service is a key element to successful online retailing. According to a marketing survey, 37.5% of online customers take advantage of the online customer service. Random samples of 200 customers are selected. -Referring to Table 7-7, 95% of the samples proportions symmetrically around the population proportion will have between _______% and____ % of the customers who take advantage of online customer service.

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If the population distribution is skewed, in most cases the sampling distribution of the mean can be approximated by the normal distribution if the samples contain at least 30 observations.

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Suppose µ = 50 and ?2 = 100 for a population. In a sample where n = 100 is randomly taken, 90% of all possible sample means will fall between 49 and 51.

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TABLE 7-7 Online customer service is a key element to successful online retailing. According to a marketing survey, 37.5% of online customers take advantage of the online customer service. Random samples of 200 customers are selected. -Referring to Table 7-7, _____ % of the samples are likely to have between 35% and 40% who take advantage of online customer service.

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The professor of a business statistics class wanted to find out the average amount of time per week her students spent studying for the class. She divided the students into the left, right and center groups according to the location they sat in the class that day. One of these 3 groups was randomly selected and everyone in the group was asked the average amount of time per week he/she spent studying for the class. This is an example of a cluster sample.

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A manufacturer of power tools claims that the average amount of time required to assemble their top-of-the-line table saw is 80 minutes with a standard deviation of 40 minutes. Suppose a random sample of 64 purchasers of this table saw is taken. The mean of the sampling distribution of the sample mean is _____minutes.

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Which of the following sampling methods will more likely be susceptible to ethical violation?

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Sampling error becomes an ethical issue if the findings are purposely presented without reference to sample size and margin of error so that the sponsor can promote a viewpoint that might otherwise be truly insignificant.

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A manufacturer of power tools claims that the average amount of time required to assemble their top-of-the-line table saw is 80 minutes with a standard deviation of 40 minutes. Suppose a random sample of 64 purchasers of this table saw is taken. The probability that the sample mean will be less than 82 minutes is _ .

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Measurement error can become an ethical issue when a survey sponsor chooses leading questions that guide the responses in a particular direction.

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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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Which of the following is true about the sampling distribution of the sample mean?

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Measurement error can become an ethical issue when an interviewer purposely creates a Hawthorne effect or otherwise guides the responses in a particular direction.

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TABLE 7-2 The mean selling price of new homes in a city over a year was $115,000. The population standard deviation was $25,000. A random sample of 100 new home sales from this city was taken. -Referring to Table 7-2, what is the probability that the sample mean selling price was between $114,000 and $116,000?

(Short Answer)
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A study at a college in the west coast reveals that, historically, 45% of their students are minority students. If a random sample of size 75 is selected, the probability is____ that between 30% and 50% of the students in the sample will be minority students.

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Major league baseball salaries averaged $1.5 million with a standard deviation of $0.8 million in 1994. Suppose a sample of 100 major league players was taken. Find the approximate probability that the average salary of the 100 players exceeded $1 million.

(Multiple Choice)
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Which of the following sampling methods will more likely be susceptible to ethical violation when used to form conclusions about the entire population?

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