Exam 7: Sampling Distributions

SCENARIO 7-8 A consulting firm that surveyed consumers' holiday shopping behavior found that the percentage of consumers from the U.S., Canada, and China who said that they planned to spend more on holiday shopping were 40%, 34% and 73%, respectively. Treat these results as representations of the populations. Random samples of size 150 are selected from each of the three countries. -Referring to Scenario 7-8, 90% of the samples from U.S. will have less than what percentage of consumers who will spend more on holiday shopping?

(Short Answer)

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Question 121

Which of the following statements about the sampling distribution of the sample mean is incorrect?

(Multiple Choice)

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Question 122

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

(True/False)

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Question 123

A study at a college in the west coast reveals that, historically, 45% of the students are minority students. If random samples of size 75 are selected, the standard error of the proportion of students in the samples who are minority students is _________.

(Short Answer)

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Question 124

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 requirements for using a normal distribution to approximate a binomial distribution is fulfilled.

(True/False)

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Question 125

If the amount of gasoline purchased per car at a large service station has a population mean of 15 gallons and a population standard deviation of 4 gallons and a random sample of 64 cars is selected, there is approximately a 95.44% chance that the sample mean will be between 14 and 16 gallons.

(True/False)

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Question 126

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 standard deviation 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 127

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

(True/False)

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Question 128

SCENARIO 7-5 According to an article, 19% of the entire population in a developing country have high-speed access to the Internet. Random samples of size 200 are selected from the country's population. -Referring to Scenario 7-5, among all the random samples of size 200, 90 % will have less than _____% who have high-speed access to the Internet.

(Short Answer)

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Question 129

The standard error of the sampling distribution of a sample proportion is $\sqrt { \frac { p ( 1 - p ) } { n } } \text { where } p$ p is the sample proportion.

(True/False)

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Question 130

SCENARIO 7-2 The mean selling price of new homes in a small town over a year was $115,000. The population standard deviation was $25,000. A random sample of 100 new home sales from this city was taken. -Referring to Scenario 7-2, what is the probability that the sample mean selling price was between $114,000 and $116,000?

(Short Answer)

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Question 131

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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Question 132

Assume that house prices in a neighborhood are normally distributed with a standard deviation of $20,000. A random sample of 16 observations is taken. What is the probability that the sample mean differs from the population mean by more than $5,000?

(Essay)

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Question 133

Sampling distributions describe the distribution of

(Multiple Choice)

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Question 134

A manufacturer of power tools claims that the mean amount of time required to assemble their top-of-the-line table saw is 80 minutes with a standard deviation of 40 minutes. Suppose a random sample of 64 purchasers of this table saw is taken. The probability that the sample mean will be less than 82 minutes is __________.

(Short Answer)

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Question 135

A sample of size 25 provides a sample variance of 400. The standard error, in this case equal to 4, is best described as the estimate of the standard deviation of means calculated from samples of size 25.

(True/False)

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Question 136

The amount of bleach a machine pours into bottles has a mean of 36 oz. with a standard deviation of 0.15 oz. Suppose we take a random sample of 36 bottles filled by this machine. The probability that the mean of the sample is between 35.94 and 36.06 oz. is __________.

(Short Answer)

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Question 137

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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Question 138

SCENARIO 7-8 A consulting firm that surveyed consumers' holiday shopping behavior found that the percentage of consumers from the U.S., Canada, and China who said that they planned to spend more on holiday shopping were 40%, 34% and 73%, respectively. Treat these results as representations of the populations. Random samples of size 150 are selected from each of the three countries. -Referring to Scenario 7-8, the mean of all the sample proportions of Canadian consumers who will spend more on holiday shopping is _______.

(Short Answer)

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(36)

Question 139

For sample size 1, the sampling distribution of the mean will be normally distributed

(Multiple Choice)

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Question 140

Showing 121 - 140 of 165

Which of the following statements about the sampling distribution of the sample mean is incorrect?

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

A study at a college in the west coast reveals that, historically, 45% of the students are minority students. If random samples of size 75 are selected, the standard error of the proportion of students in the samples who are minority students is _________.

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 requirements for using a normal distribution to approximate a binomial distribution is fulfilled.

If the amount of gasoline purchased per car at a large service station has a population mean of 15 gallons and a population standard deviation of 4 gallons and a random sample of 64 cars is selected, there is approximately a 95.44% chance that the sample mean will be between 14 and 16 gallons.

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

The standard error of the sampling distribution of a sample proportion is $\sqrt { \frac { p ( 1 - p ) } { n } } \text { where } p$ p is the sample proportion.

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 _______.

Assume that house prices in a neighborhood are normally distributed with a standard deviation of $20,000. A random sample of 16 observations is taken. What is the probability that the sample mean differs from the population mean by more than $5,000?

Sampling distributions describe the distribution of

A sample of size 25 provides a sample variance of 400. The standard error, in this case equal to 4, is best described as the estimate of the standard deviation of means calculated from samples of size 25.

The amount of bleach a machine pours into bottles has a mean of 36 oz. with a standard deviation of 0.15 oz. Suppose we take a random sample of 36 bottles filled by this machine. The probability that the mean of the sample is between 35.94 and 36.06 oz. is __________.

If the expected value of a sample statistic is equal to the parameter it is estimating, then we call that sample statistic

For sample size 1, the sampling distribution of the mean will be normally distributed

Defining and Collecting Data

Organizing and Visualizing

Numerical Descriptive Measures

Basic Probability

Discrete Probability Distributions

The Normal Distribution and Other Continuous Distributions

Confidence Interval Estimation

Fundamentals of Hypothesis Testing: One-Sample Tests

Two-Sample Tests

Analysis of Variance

Chi-Square and Nonparametric

Simple Linear Regression

Introduction to Multiple

Multiple Regression

Time-Series Forecasting

Getting Ready to Analyze Data

Statistical Applications in Quality Management

Decision Making

Probability and Combinatorics

Filters

Exam 7: Sampling Distributions

Which of the following statements about the sampling distribution of the sample mean is incorrect?

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

A study at a college in the west coast reveals that, historically, 45% of the students are minority students. If random samples of size 75 are selected, the standard error of the proportion of students in the samples who are minority students is _________.

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 requirements for using a normal distribution to approximate a binomial distribution is fulfilled.

If the amount of gasoline purchased per car at a large service station has a population mean of 15 gallons and a population standard deviation of 4 gallons and a random sample of 64 cars is selected, there is approximately a 95.44% chance that the sample mean will be between 14 and 16 gallons.

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

The standard error of the sampling distribution of a sample proportion is p(1−p)n where p\sqrt { \frac { p ( 1 - p ) } { n } } \text { where } pnp(1−p)​​ where p p is the sample proportion.

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 _______.

Assume that house prices in a neighborhood are normally distributed with a standard deviation of $20,000. A random sample of 16 observations is taken. What is the probability that the sample mean differs from the population mean by more than $5,000?

Sampling distributions describe the distribution of

A sample of size 25 provides a sample variance of 400. The standard error, in this case equal to 4, is best described as the estimate of the standard deviation of means calculated from samples of size 25.

The amount of bleach a machine pours into bottles has a mean of 36 oz. with a standard deviation of 0.15 oz. Suppose we take a random sample of 36 bottles filled by this machine. The probability that the mean of the sample is between 35.94 and 36.06 oz. is __________.

If the expected value of a sample statistic is equal to the parameter it is estimating, then we call that sample statistic

For sample size 1, the sampling distribution of the mean will be normally distributed

Defining and Collecting Data

Organizing and Visualizing

Numerical Descriptive Measures

Basic Probability

Discrete Probability Distributions

The Normal Distribution and Other Continuous Distributions

Confidence Interval Estimation

Fundamentals of Hypothesis Testing: One-Sample Tests

Two-Sample Tests

Analysis of Variance

Chi-Square and Nonparametric

Simple Linear Regression

Introduction to Multiple

Multiple Regression

Time-Series Forecasting

Getting Ready to Analyze Data

Statistical Applications in Quality Management

Decision Making

Probability and Combinatorics

Filters

The standard error of the sampling distribution of a sample proportion is $\sqrt { \frac { p ( 1 - p ) } { n } } \text { where } p$ p is the sample proportion.