Exam 7: Sampling and Sampling Distributions

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The milk prices in quarts) from a sample of 9 convenience stores in Chattanooga, Tennessee are shown below. Store\# Price Per Quart x ) 1 \ 1.14 2 \ 1.19 3 \ 1.25 4 \ 1.21 5 \ 1.17 6 \ 1.19 7 \ 1.22 8 \ 1.24 9 \ 1.19 a. What is the point estimate for the prices of all convenience stores in Chattanooga? b. What is the point estimate for the standard deviation of the population?

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In a large university, 20% of the students are business majors. A random sample of 100 students is selected, and their majors are recorded. a. Compute the standard error of the proportion. b. What is the probability that the sample contains at least 12 business majors? c. What is the probability that the sample contains less than 15 business majors? d. What is the probability that the sample contains between 12 and 14 business majors?

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A sample of 92 observations is taken from an infinite population. The sampling distribution of is approximately

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Exhibit 7-2 A random sample of 10 examination papers in a course, which was given on a pass or fail basis, showed the following scores. Paper Number Grade Status 1 65 Pass 2 87 Pass 3 92 Pass 4 35 Fail 5 79 Pass 6 100 Pass 7 48 Fail 8 74 Pass 9 79 Pass 10 91 Pass -Refer to Exhibit 7-2. The point estimate for the proportion of all students who passed the course is

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The probability distribution of all possible values of the sample proportion pˉ\bar { p } is the

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In computing the standard error of the mean, the finite population correction factor is used when

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A sample of 51 observations will be taken from an infinite population. The population proportion equals 0.85. The probability that the sample proportion will be between 0.9115 and 0.946 is

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In a local university, 10% of the students live in the dormitories. A random sample of 100 students is selected for a particular study. a. What is the probability that the sample proportion the proportion living in the dormitories) is between 0.172 and 0.178? b. What is the probability that the sample proportion the proportion living in the dormitories) is greater than 0.025?

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The purpose of statistical inference is to provide information about the

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A sample of 66 observations will be taken from an infinite population. The population proportion equals 0.12. The probability that the sample proportion will be less than 0.1768 is

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The life expectancy in the United States is 75 with a standard deviation of 7 years. A random sample of 49 individuals is selected. a. What is the probability that the sample mean will be larger than 77 years? b. What is the probability that the sample mean will be less than 72.7 years? c. What is the probability that the sample mean will be between 73.5 and 76 years? d. What is the probability that the sample mean will be between 72 and 74 years? e. What is the probability that the sample mean will be larger than 73.46 years?

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The standard deviation of a sample of 100 elements taken from a very large population is determined to be 60. The variance of the population

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The closer the sample mean is to the population mean,

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The fact that the sampling distribution of sample means can be approximated by a normal probability distribution whenever the sample size is large is based on the

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Convenience sampling is an example of

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Ten percent of the items produced by a machine are defective. A random sample of 100 items is selected and checked for defects. a. Determine the standard error of the proportion. b. What is the probability that the sample will contain more than 2.5% defective units? c. What is the probability that the sample will contain more than 13% defective units?

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As the sample size becomes larger, the sampling distribution of the sample mean approaches a

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Since the sample size is always smaller than the size of the population, the sample mean

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The number of random samples without replacement) of size 3 that can be drawn from a population of size 5 is

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Exhibit 7-2 A random sample of 10 examination papers in a course, which was given on a pass or fail basis, showed the following scores. Paper Number Grade Status 1 65 Pass 2 87 Pass 3 92 Pass 4 35 Fail 5 79 Pass 6 100 Pass 7 48 Fail 8 74 Pass 9 79 Pass 10 91 Pass -Refer to Exhibit 7-2. The point estimate for the standard deviation of the population is

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