Exam 7: Sampling Distributions
Exam 1: Defining and Collecting Data204 Questions
Exam 2: Organizing and Visualizing Variables185 Questions
Exam 3: Numerical Descriptive Measures167 Questions
Exam 4: Basic Probability163 Questions
Exam 5: Discrete Probability Distributions216 Questions
Exam 6: The Normal Distribution and Other Continuous Distributions187 Questions
Exam 7: Sampling Distributions129 Questions
Exam 8: Confidence Interval Estimation189 Questions
Exam 9: Fundamentals of Hypothesis Testing: One-Sample Tests185 Questions
Exam 10: Two-Sample Tests212 Questions
Exam 11: Analysis of Variance210 Questions
Exam 12: Chi-Square and Nonparametric Tests175 Questions
Exam 13: Simple Linear Regression210 Questions
Exam 14: Introduction to Multiple Regression256 Questions
Exam 15: Multiple Regression Model Building67 Questions
Exam 16: Time-Series Forecasting168 Questions
Exam 17: Business Analytics113 Questions
Exam 18: A Roadmap for Analyzing Data325 Questions
Exam 19: Statistical Applications in Quality Management158 Questions
Exam 20: Decision Making123 Questions
Exam 21: Getting Started: Important Things to Learn First35 Questions
Exam 22: Binomial Distribution and Normal Approximation230 Questions
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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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A study at a college in the west coast reveals that,historically,45% of the students are minority students.The expected percentage of minority students in their next group of freshmen is
.
(Short Answer)
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SCENARIO 7-3
The lifetimes of a certain brand of light bulbs are known to be normally distributed with a mean of 1,600 hours and a standard deviation of 400 hours.A random sample of 64 of these light bulbs is taken.
-Referring to Scenario 7-3,the probability is 0.15 that the sample mean lifetime is more than how many hours?
(Short Answer)
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SCENARIO 7-1
The time spent studying by students in the week before final exams follows a normal distribution with a standard deviation of 8 hours.A random sample of 4 students was taken to estimate the mean study time for the population of all students.
-Referring to Scenario 7-1,what is the probability that the sample mean differs from the population mean by more than 3 hours?
(Short Answer)
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SCENARIO 7-1
The time spent studying by students in the week before final exams follows a normal distribution with a standard deviation of 8 hours.A random sample of 4 students was taken to estimate the mean study time for the population of all students.
-Referring to Scenario 7-1,what is the probability that the sample mean exceeds the population mean by more than 2 hours?
(Short Answer)
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The Central Limit Theorem is important in statistics because
(Multiple Choice)
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At a computer manufacturing company,the actual size of a computer chip is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter.A random sample of 12 computer chips is taken.What is the standard error for the sample mean?
(Multiple Choice)
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SCENARIO 7-6
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 Scenario 7-6, _____% of the samples are likely to have less than 37.5% who take advantage of online customer service.
(Short Answer)
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A study at a college in the west coast reveals that,historically,45% of the students are minority students.If a random sample of size 75 is selected,the probability is_____ that more than half of the students in the sample will be minority students.
(Short Answer)
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At a computer manufacturing company,the actual size of a computer chip is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter.A random sample of 12 computer chips is taken.What is the probability that the sample mean will be between 0.99 and
1.01 centimeters?
(Short Answer)
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A sample that does not provide a good representation of the population from which it was collected is referred to as a (n)_____sample.
(Short Answer)
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Suppose ? = 50 and = 10 for a population.In a sample where n = 100 is randomly taken,95% of all possible sample means will fall between 48.04 and 51.96.
(True/False)
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If the expected value of a sample statistic is equal to the parameter it is estimating,then we call that sample statistic
(Multiple Choice)
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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.
(True/False)
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SCENARIO 7-6
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 Scenario 7-6,the standard error of all possible sample proportions is .
(Short Answer)
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SCENARIO 7-5
According to an article,19% of the entire population in a developing country has high-speed access to the Internet.Random samples of size 200 are selected from the country's population.
-Referring to Scenario 7-5,the population mean of all the sample proportions is .
(Short Answer)
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SCENARIO 7-1
The time spent studying by students in the week before final exams follows a normal distribution with a standard deviation of 8 hours.A random sample of 4 students was taken to estimate the mean study time for the population of all students.
-Referring to Scenario 7-1,what is the probability that the sample mean differs from the population mean by less than 2 hours?
(Short Answer)
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The standard deviation of the sampling distribution of a sample proportion is where is the population proportion.

(True/False)
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SCENARIO 7-3
The lifetimes of a certain brand of light bulbs are known to be normally distributed with a mean of 1,600 hours and a standard deviation of 400 hours.A random sample of 64 of these light bulbs is taken.
-Referring to Scenario 7-3,the probability is 0.20 that the sample mean lifetime differs from the population mean lifetime by at least how many hours?
(Short Answer)
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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 16 fish is taken,what would the standard error of the mean weight equal?
(Multiple Choice)
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