Exam 9: Sampling Distributions
Exam 1: What Is Statistics43 Questions
Exam 2: Graphical Descriptive Techniques I93 Questions
Exam 3: Graphical Descriptive Techniques II140 Questions
Exam 4: Numerical Descriptive Techniques316 Questions
Exam 5: Data Collection and Sampling82 Questions
Exam 6: Probability237 Questions
Exam 7: Random Variables and Discrete Probability Distributions277 Questions
Exam 8: Continuous Probability Distributions215 Questions
Exam 9: Sampling Distributions154 Questions
Exam 10: Introduction to Estimation152 Questions
Exam 11: Introduction to Hypothesis Testing187 Questions
Exam 12: Inference About a Population149 Questions
Exam 13: Inference About Comparing Two Populations168 Questions
Exam 14: Analysis of Variance157 Questions
Exam 15: Chi-Squared Tests Optional175 Questions
Exam 16: Simple Linear Regression and Correlation301 Questions
Exam 17: Multiple Regression158 Questions
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NARRBEGIN: Heights of Men
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.NARREND
-{Heights of Men Narrative} What is the probability that a randomly selected man is taller than 70 inches?
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(Short Answer)
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Correct Answer:
0.3085
NARRBEGIN: Heights of Fences
Heights of Fences
Heights of fences are normally distributed with a mean of 52 inches and a standard deviation of 4 inches.NARREND
-{Heights of Fence Narrative} Find the probability that two randomly selected fences are both under 54 inches.
Free
(Short Answer)
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Correct Answer:
(0.6915)(0.6915) = 0.4782
If the population distribution is skewed, in most cases the sampling distribution of the sample mean can be approximated by the normal distribution if the samples contain at least 30 observations.
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(True/False)
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Correct Answer:
True
If two random samples of size 36 each are selected independently from two populations with variances 25 and 16, then the standard error of the sampling distribution of the sample mean difference, , is 5-4 = 1.
(True/False)
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The standard deviation of the sampling distribution of is also called the:
(Multiple Choice)
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As the number of throws of a fair die increases, the probability that the sample mean is close to (the number) ____________________ increases.
(Short Answer)
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NARRBEGIN: DVD Rental Store
DVD Rental Store
A DVD rental store wants to know what proportion of its customers are under age 21. A simple random sample of 500 customers was taken, and 375 of them were under age 21. Presume that the true population proportion of customers under age 21 is 0.68.NARREND
-{DVD Rental Store Narrative} Find the mean and standard deviation of .
(Essay)
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NARRBEGIN: Heights of Fences
Heights of Fences
Heights of fences are normally distributed with a mean of 52 inches and a standard deviation of 4 inches.NARREND
-{Heights of Fences Narrative} Find the probability that one randomly selected fence is under 54 inches.
(Short Answer)
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NARRBEGIN: Temporary Worker Producti
Temporary Worker Productivity
A temporary worker productivity is normally distributed. One worker produces an average of 84 units per day with a standard deviation of 24. Another worker produces at an average rate of 74 per day with a standard deviation of 25.NARREND
-{Temporary Worker Productivity Narrative} What is the probability that in any single day worker 1 will outproduce worker 2?
(Essay)
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Given that X is a binomial random variable with very large n, the binomial probability P(X 5) is approximated by the area under a normal curve to the right of
(Multiple Choice)
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NARRBEGIN: Number of Fish Tanks
Number of Fish Tanks
The following data give the number of fish tanks owned for a population of 4 families. Family A B C D Number af Fish Tanks Owned 2 1 4 3 NARREND
-{Number of Fish Tanks Narrative} List all possible samples of 2 families that can be selected without replacement from this population, and compute the sample mean for each sample.
(Essay)
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A sampling distribution is defined as the probability distribution of means from all possible sample sizes that are taken from a given population.
(True/False)
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Suppose that the probability p of success on any trail of a binomial distribution equals 0.90. Then for which of the following number of trials, n, would the normal distribution provide a good approximation to the binomial distribution?
(Multiple Choice)
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In inferential statistics, the standard error of the sample mean assesses the uncertainty or error of estimation.
(True/False)
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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 a mean of 3.2 pounds and standard deviation of 0.84 pounds. If a sample of 16 fish is taken, what is the standard error of the mean weight?
(Multiple Choice)
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The standard deviation of is also called the ____________________ of the sample proportion.
(Short Answer)
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If all possible samples of size n are drawn from an infinite population with a mean of and a standard deviation of , then the standard error of the sample mean is inversely proportional to:
(Multiple Choice)
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If all possible samples of size n are drawn from a normal population, the probability distribution of the sample mean is an exact normal distribution.
(True/False)
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