Exam 9: Sampling Distributions

Graduate Internships The chairman of the Biology department in a certain college believes that 70% of the department's graduate internships are given to international students.A random sample of 50 graduate interns is taken. -{Graduate Internships Narrative} Assume that the chairman is correct and p = 0.70.What is the sampling distribution of the sample proportion ? Explain.

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Question 121

The finite population correction is not needed if the population size is large relative to the sample size.As a rule of thumb, we will treat any population that is at least ____________________ times larger than the sample size as large.

(Short Answer)

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Question 122

Number of Fish Tanks The following data give the number of fish tanks owned for a population of 4 families. -{Number of Fish Tanks Narrative} Find the mean and the standard deviation for the population.

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Question 123

Given that X is a binomial random variable with very large n, the binomial probability P(X $\ge$ 5) is approximated by the area under a normal curve to the right of

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Question 124

The accuracy of the approximation of with a normal distribution depends on the probability distribution of the and on the sample .

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Question 125

If two random samples of sizes n₁ and n₂ are selected independently from two populations with means $\mu$ ₁ and $\mu$ ₂, then the mean of $If two random samples of sizes n1 and n2 are selected independently from two populations with means \mu 1 and \mu 2, then the mean of equals:$ equals:

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Question 126

The standard deviation of the sampling distribution of is also called the:

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Question 127

Under certain conditions where n is large enough, you can approximate the distribution using the distribution.

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Question 128

Let X be a binomial random variable with n = 100 and p = 0.7.Approximate the following probabilities, using the normal distribution. a. P(X = 75) b. P(X $\le$ 70) c. P(X > 70)

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Question 129

If a random sample of size n is drawn from a normal population, then the sampling distribution of the sample mean will be:

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Question 130

Sampling distributions describe the distributions of:

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Question 131

Average Annual Revenue Suppose that the average annual revenue of a small business is $150,000 with a standard deviation of $40,000.Assume that the revenue distribution is normal. -{Average Annual Revenue Narrative} Why are your answers to the previous two questions different?

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Question 132

Given an infinite population with a mean of 75 and a standard deviation of 12, the probability that the mean of a sample of 36 observations, taken at random from this population, is less than 78 is:

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Question 133

A sample of size n is selected at random from an infinite population.As n increases, which of the following statements is true?

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Question 134

Poker Time The amount of time spent by American adults playing Poker per week is normally distributed with a mean of 4 hours and standard deviation of 1.25 hours. -{Poker Time Narrative} Find the probability that a randomly selected American adult plays Poker for more than 5 hours per week.

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Question 135

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?

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Question 136

If two random samples of sizes 30 and 32 are selected independently from two populations with means 121 and 109, then the mean of the sampling distribution of the sample mean difference, , equals 12.

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Question 137

Average Annual Revenue Suppose that the average annual revenue of a small business is $150,000 with a standard deviation of $40,000.Assume that the revenue distribution is normal. -{Average Annual Revenue Narrative} What is the probability that one business selected at random makes less than $120,000?

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Question 138

Graduate Internships The chairman of the Biology department in a certain college believes that 70% of the department's graduate internships are given to international students.A random sample of 50 graduate interns is taken. -{Graduate Internships Narrative} Find the expected value and the standard error of the sampling distribution of .

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Question 139

A sample of size 25 is selected at random from a finite population.If the finite population correction factor is 0.63, then the population size is:

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Question 140

Showing 121 - 140 of 153

The finite population correction is not needed if the population size is large relative to the sample size.As a rule of thumb, we will treat any population that is at least ____________________ times larger than the sample size as large.

Number of Fish Tanks The following data give the number of fish tanks owned for a population of 4 families. -{Number of Fish Tanks Narrative} Find the mean and the standard deviation for the population.

Given that X is a binomial random variable with very large n, the binomial probability P(X $\ge$ 5) is approximated by the area under a normal curve to the right of

The accuracy of the approximation of with a normal distribution depends on the probability distribution of the and on the sample .

The standard deviation of the sampling distribution of is also called the:

Under certain conditions where n is large enough, you can approximate the distribution using the distribution.

Let X be a binomial random variable with n = 100 and p = 0.7.Approximate the following probabilities, using the normal distribution. a. P(X = 75) b. P(X $\le$ 70) c. P(X > 70)

If a random sample of size n is drawn from a normal population, then the sampling distribution of the sample mean will be:

Sampling distributions describe the distributions of:

Average Annual Revenue Suppose that the average annual revenue of a small business is $150,000 with a standard deviation of $40,000.Assume that the revenue distribution is normal. -{Average Annual Revenue Narrative} Why are your answers to the previous two questions different?

Given an infinite population with a mean of 75 and a standard deviation of 12, the probability that the mean of a sample of 36 observations, taken at random from this population, is less than 78 is:

A sample of size n is selected at random from an infinite population.As n increases, which of the following statements is true?

Poker Time The amount of time spent by American adults playing Poker per week is normally distributed with a mean of 4 hours and standard deviation of 1.25 hours. -{Poker Time Narrative} Find the probability that a randomly selected American adult plays Poker for more than 5 hours per week.

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?

If two random samples of sizes 30 and 32 are selected independently from two populations with means 121 and 109, then the mean of the sampling distribution of the sample mean difference, , equals 12.

A sample of size 25 is selected at random from a finite population.If the finite population correction factor is 0.63, then the population size is:

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Filters

Exam 9: Sampling Distributions

The finite population correction is not needed if the population size is large relative to the sample size.As a rule of thumb, we will treat any population that is at least ____________________ times larger than the sample size as large.

Number of Fish Tanks The following data give the number of fish tanks owned for a population of 4 families. -{Number of Fish Tanks Narrative} Find the mean and the standard deviation for the population.

Given that X is a binomial random variable with very large n, the binomial probability P(X ≥\ge≥ 5) is approximated by the area under a normal curve to the right of

The accuracy of the approximation of with a normal distribution depends on the probability distribution of the ____________________ and on the sample ____________________.

If two random samples of sizes n1 and n2 are selected independently from two populations with means μ\muμ 1 and μ\muμ 2, then the mean of equals:

The standard deviation of the sampling distribution of is also called the:

Under certain conditions where n is large enough, you can approximate the ____________________ distribution using the ____________________ distribution.

Let X be a binomial random variable with n = 100 and p = 0.7.Approximate the following probabilities, using the normal distribution. a. P(X = 75) b. P(X ≤\le≤ 70) c. P(X > 70)

If a random sample of size n is drawn from a normal population, then the sampling distribution of the sample mean will be:

Sampling distributions describe the distributions of:

Average Annual Revenue Suppose that the average annual revenue of a small business is $150,000 with a standard deviation of $40,000.Assume that the revenue distribution is normal. -{Average Annual Revenue Narrative} Why are your answers to the previous two questions different?

Given an infinite population with a mean of 75 and a standard deviation of 12, the probability that the mean of a sample of 36 observations, taken at random from this population, is less than 78 is:

A sample of size n is selected at random from an infinite population.As n increases, which of the following statements is true?

Poker Time The amount of time spent by American adults playing Poker per week is normally distributed with a mean of 4 hours and standard deviation of 1.25 hours. -{Poker Time Narrative} Find the probability that a randomly selected American adult plays Poker for more than 5 hours per week.

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?

If two random samples of sizes 30 and 32 are selected independently from two populations with means 121 and 109, then the mean of the sampling distribution of the sample mean difference, , equals 12.

A sample of size 25 is selected at random from a finite population.If the finite population correction factor is 0.63, then the population size is:

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Filters

Given that X is a binomial random variable with very large n, the binomial probability P(X $\ge$ 5) is approximated by the area under a normal curve to the right of

The accuracy of the approximation of with a normal distribution depends on the probability distribution of the and on the sample .

Under certain conditions where n is large enough, you can approximate the distribution using the distribution.

Let X be a binomial random variable with n = 100 and p = 0.7.Approximate the following probabilities, using the normal distribution. a. P(X = 75) b. P(X $\le$ 70) c. P(X > 70)