Exam 7: Sampling and Sampling Distributions
Exam 1: Statistics and Data100 Questions
Exam 2: Tabular and Graphical Methods123 Questions
Exam 3: Numerical Descriptive Measures151 Questions
Exam 4: Basic Probability Concepts116 Questions
Exam 5: Discrete Probability Distributions139 Questions
Exam 6: Continuous Probability Distributions128 Questions
Exam 7: Sampling and Sampling Distributions124 Questions
Exam 8: Interval Estimation123 Questions
Exam 9: Hypothesis Testing135 Questions
Exam 10: Statistical Inference Concerning Two Populations124 Questions
Exam 11: Statistical Inference Concerning Variance111 Questions
Exam 12: Chi-Square Tests120 Questions
Exam 13: Analysis of Variance58 Questions
Exam 14: Regression Analysis140 Questions
Exam 15: Inference With Regression Models124 Questions
Exam 16: Regression Models for Nonlinear Relationships115 Questions
Exam 17: Regression Models With Dummy Variables114 Questions
Exam 18: Time Series and Forecasting124 Questions
Exam 19: Returns, Index Numbers and Inflation120 Questions
Exam 20: Nonparametric Tests108 Questions
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Which of the following meets the requirements of a stratified random sample?
(Multiple Choice)
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The office of career services at a major university knows that 74% of its graduates find full-time positions in the field of their choosing within six months of graduation.Suppose the office of career services surveys 25 alumni six months after graduation.a.What is the probability that at least 80% of the alumni have a job in the field of their choosing? b.What is the probability that between 60% and 76% of the alumni have a job in the field of their choosing? c.What is the probability that fewer than 60% of the alumni have a job in the field of their choosing?
(Essay)
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A point estimator refers to an estimator that provides a single value.
(True/False)
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A random sample of 49 cast aluminum pots is taken from a production line once every day.The number of defective pots is counted.The proportion of defective pots has been closely examined in the past and is believed to be 0.05.The sample proportions for the week are shown in the accompanying table.
Is the production process in control?

(Multiple Choice)
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It is known that college students at a local community college study 12 hours per week with a standard deviation of five hours.What are the expected value and variance for a sample of nine students?
(Essay)
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A ski resort gets an average of 2,000 customers per weekday with a standard deviation of 800 customers.Assume the underlying distribution is normal.What is the probability a ski resort averages between 1,500 customers and 3,000 customers per weekday over the course of four weekdays?
(Essay)
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For any sample size n,the sampling distribution of
is normal if the population from which the sample is drawn is uniformly distributed.

(True/False)
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A school is required by the government to give some randomly chosen students a standardized test.From previous experience,the school knows about 68% of their students will receive passing scores in math and English.To improve funding,the school needs to score at least 70% on the standardized test.This year the school can decide if it wants to test 100 or 200 students.Should the school test 100 or 200 students? Explain the answer.
(Essay)
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What is the relationship between the expected value of the sample mean and the expected value of the population?
(Multiple Choice)
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A local company makes snack-size bags of potato chips.Each day,the company produces batches of 400 snack-size bags using a process designed to fill each bag with an average of 2 ounces of potato chips.However,due to imperfect technology,the actual amount placed in a given bag varies.Assume the amount placed in each of the 400 bags is normally distributed and has a standard deviation of 0.1 ounce.What is the probability that a sample of 40 bags has an average weight of at least 2.02 ounces?
(Multiple Choice)
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The California Department of Education wants to gauge the difficulty of a new exam by having a sample of students at a particular school take the exam.The quality of the students at the chosen school varies widely and the school administrators are allowed to choose who gets to take the exam.The administrators have a strong incentive for the school to do well on the exam.Do you think the results will represent the true ability of the students at school? What kind of bias,if any,do you think will be present? Explain.
(Essay)
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Over the entire six years that students attend an Ohio elementary school,they are absent,on average,28 days due to influenza.Assume that the standard deviation over this time period is σ = 9 days.Upon graduation from elementary school,a random sample of 36 students is taken and asked how many days of school they missed due to influenza.What is the expected value for the sampling distribution of the number of school days missed due to influenza?
(Multiple Choice)
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Suppose that,on average,electricians earn approximately µ = $54,000 per year in the United States.Assume that the distribution for electricians' yearly earnings is normally distributed and that the standard deviation is σ = $12,000.Given a sample of four electricians,what is the standard deviation for the sampling distribution of the sample mean?
(Multiple Choice)
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Over the entire six years that students attend an Ohio elementary school,they are absent,on average,28 days due to influenza.Assume that the standard deviation over this time period is σ = 9 days.Upon graduation from elementary school,a random sample of 36 students is taken and asked how many days of school they missed due to influenza.The probability that the sample mean is less than 30 school days is _______.
(Multiple Choice)
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For making statistical inferences,it is essential that the sampling distribution of
is _________ distributed.

(Essay)
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How does the variance of the sample mean compare to the variance of the population?
(Multiple Choice)
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According to the central limit theorem,the sampling distribution of
approached the normal distribution as the sample size _______.

(Essay)
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Administrative assistants in a local university have been asked to prove their proficiency in the use of spreadsheet software by taking a proficiency test.Historically,the mean test score has been 74 with a standard deviation of 4.A random sample of size 40 is taken from the 100 administrative assistants and asked to complete the proficiency test.a.Calculate the expected value and the standard deviation (standard error)of the sample mean.b.What is the probability that the sample mean score is more than 75,the predetermined passing score?
(Essay)
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John would like to conduct a survey in his neighborhood to get homeowners' opinions on the Delmarva proposal to switch to natural gas.Which of the following is an example of a stratified sample?
(Multiple Choice)
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