Exam 7: Sampling Distributions

The amount of time it takes to complete an examination has a left skewed distribution with a mean of 65 minutes and a standard deviation of 8 minutes.If 64 students were randomly sampled, the probability that the sample mean of the sampled students exceeds 71 minutes is approximately 0.

(True/False)

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Question 21

The sample proportion is an unbiased estimator for the population proportion.

(True/False)

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Question 22

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 of16 fish is taken, what would the standard error of the mean weight equal?

(Multiple Choice)

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Question 23

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 and1.01 centimeters?

(Short Answer)

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Question 24

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 below 0.95 centimeters?

(Short Answer)

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Question 25

Suppose $\mu$ = 80 and $\sigma$ = 20 for a population.In a sample where n = 100 is randomly taken, 95% of all possible sample means will fall above 76.08.

(True/False)

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Question 26

SCENARIO 7-4 According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase.Random samples of size 50 are selected. -Referring to Scenario 7-4, what is the probability that a random sample of 50 will have at least30% of customers who will make a purchase after visiting the web site?

(Short Answer)

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Question 27

Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in a certain year in the past.Suppose a sample of 100 major league players was taken.Find the approximate probability that the mean salary of the 100 players was no more than $3.0 million.

(Multiple Choice)

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Question 28

Sales prices of baseball cards from the 1960s are known to possess a right skewed distribution with a mean sale price of $5.25 and a standard deviation of $2.80.Suppose a random sample of100 cards from the 1960s is selected.Describe the sampling distribution for the sample mean sale price of the selected cards.

(Multiple Choice)

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Question 29

Suppose $\mu$ = 50 and $\sigma$ = 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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Question 30

Which of the following is true regarding the sampling distribution of the mean for a large sample size?

(Multiple Choice)

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Question 31

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 of64 fish yields a mean of 3.4 pounds, what is probability of obtaining a sample mean this large or larger?

(Multiple Choice)

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Question 32

Why is the Central Limit Theorem so important to the study of sampling distributions?

(Multiple Choice)

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Question 33

As the size of the sample is increased, the standard deviation of the sampling distribution of the sample mean for a normally distributed population will stay the same.

(True/False)

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Question 34

Which of the following statements about the sampling distribution of the sample mean isincorrect?

(Multiple Choice)

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Question 35

An unbiased estimator will have a value, on average across samples, equal to the population parameter value.

(True/False)

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Question 36

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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Question 37

The amount of time required for an oil and filter change on an automobile is normally distributed with a mean of 45 minutes and a standard deviation of 10 minutes.A random sample of 16 cars is selected.90% of the sample means will be greater than what value?

(Short Answer)

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Question 38

SCENARIO 7-4 According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase.Random samples of size 50 are selected. -Referring to Scenario 7-4, the mean of all the sample proportions of customers who will make a purchase after visiting the web site is .

(Short Answer)

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Question 39

In inferential statistics, the standard error of the sample mean assesses the uncertainty or error of estimation.

(True/False)

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Question 40

Showing 21 - 40 of 127

The amount of time it takes to complete an examination has a left skewed distribution with a mean of 65 minutes and a standard deviation of 8 minutes.If 64 students were randomly sampled, the probability that the sample mean of the sampled students exceeds 71 minutes is approximately 0.

The sample proportion is an unbiased estimator for the population proportion.

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 of16 fish is taken, what would the standard error of the mean weight equal?

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 and1.01 centimeters?

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 below 0.95 centimeters?

Suppose $\mu$ = 80 and $\sigma$ = 20 for a population.In a sample where n = 100 is randomly taken, 95% of all possible sample means will fall above 76.08.

Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in a certain year in the past.Suppose a sample of 100 major league players was taken.Find the approximate probability that the mean salary of the 100 players was no more than $3.0 million.

Suppose $\mu$ = 50 and $\sigma$ = 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.

Which of the following is true regarding the sampling distribution of the mean for a large sample size?

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 of64 fish yields a mean of 3.4 pounds, what is probability of obtaining a sample mean this large or larger?

Why is the Central Limit Theorem so important to the study of sampling distributions?

As the size of the sample is increased, the standard deviation of the sampling distribution of the sample mean for a normally distributed population will stay the same.

Which of the following statements about the sampling distribution of the sample mean isincorrect?

An unbiased estimator will have a value, on average across samples, equal to the population parameter value.

The amount of time required for an oil and filter change on an automobile is normally distributed with a mean of 45 minutes and a standard deviation of 10 minutes.A random sample of 16 cars is selected.90% of the sample means will be greater than what value?

SCENARIO 7-4 According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase.Random samples of size 50 are selected. -Referring to Scenario 7-4, the mean of all the sample proportions of customers who will make a purchase after visiting the web site is .

In inferential statistics, the standard error of the sample mean assesses the uncertainty or error of estimation.

Defining and Collecting Data

Organizing and Visualizing Variables

Numerical Descriptive Measures

Basic Probability

Discrete Probability Distributions

The Normal Distribution

Confidence Interval Estimation

Fundamentals of Hypothesis Testing: One-Sample Tests

Two-Sample Tests

Chi-Square Tests

Simple Linear Regression

Multiple Regression

Business Analytics

Filters

Exam 7: Sampling Distributions

The amount of time it takes to complete an examination has a left skewed distribution with a mean of 65 minutes and a standard deviation of 8 minutes.If 64 students were randomly sampled, the probability that the sample mean of the sampled students exceeds 71 minutes is approximately 0.

The sample proportion is an unbiased estimator for the population proportion.

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 of16 fish is taken, what would the standard error of the mean weight equal?

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 and1.01 centimeters?

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 below 0.95 centimeters?

Suppose μ\muμ = 80 and σ\sigmaσ = 20 for a population.In a sample where n = 100 is randomly taken, 95% of all possible sample means will fall above 76.08.

Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in a certain year in the past.Suppose a sample of 100 major league players was taken.Find the approximate probability that the mean salary of the 100 players was no more than $3.0 million.

Suppose μ\muμ = 50 and σ\sigmaσ = 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.

Which of the following is true regarding the sampling distribution of the mean for a large sample size?

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 of64 fish yields a mean of 3.4 pounds, what is probability of obtaining a sample mean this large or larger?

Why is the Central Limit Theorem so important to the study of sampling distributions?

As the size of the sample is increased, the standard deviation of the sampling distribution of the sample mean for a normally distributed population will stay the same.

Which of the following statements about the sampling distribution of the sample mean isincorrect?

An unbiased estimator will have a value, on average across samples, equal to the population parameter value.

The amount of time required for an oil and filter change on an automobile is normally distributed with a mean of 45 minutes and a standard deviation of 10 minutes.A random sample of 16 cars is selected.90% of the sample means will be greater than what value?

In inferential statistics, the standard error of the sample mean assesses the uncertainty or error of estimation.

Defining and Collecting Data

Organizing and Visualizing Variables

Numerical Descriptive Measures

Basic Probability

Discrete Probability Distributions

The Normal Distribution

Confidence Interval Estimation

Fundamentals of Hypothesis Testing: One-Sample Tests

Two-Sample Tests

Chi-Square Tests

Simple Linear Regression

Multiple Regression

Business Analytics

Filters

Suppose $\mu$ = 80 and $\sigma$ = 20 for a population.In a sample where n = 100 is randomly taken, 95% of all possible sample means will fall above 76.08.

Suppose $\mu$ = 50 and $\sigma$ = 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.