Number of Fish Tanks The following data give the number of fish tanks owned for a population of 4 families. \[\begin{array} { | l | c c c c | } \hline \text { Family } & \text { A } & \text { B } & \text { C } & \text { D } \\ \hline \text { Number af Fish Tanks Owned } & 2 & 1 & 4 & 3 \\ \hline \end{array}\] -{Number of Fish Tanks Narrative} Find the sampling distribution of $\bar { X }$ ,and use it to calculate the mean and the standard deviation of $\bar { X }$ .

\[\begin{array} { | c | l l l l l | } \

Exam 9: Sampling Distributions

Mean Salary In order to estimate the mean salary for a population of 500 employees,the president of a certain company selected at random a sample of 40 employees. -{Mean Salary Narrative} Would you use the finite population correction factor in calculating the standard error of the sample mean in this case? Explain.

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Question 121

The owner of a meat market has an assistant who has determined that the weights of roasts are normally distributed,with a mean of 3.2 pounds and standard deviation of 0.8 pounds.If a sample of 25 roasts yields a mean of 3.6 pounds,what is the Z-score for this sample mean?

(Multiple Choice)

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Question 122

Retirees A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years,respectively. -(Retirees Narrative} Describe the shape of the sampling distribution of the sample mean in this case.

(Essay)

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Question 123

Retirees A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years,respectively. -{Retirees Narrative} What is the probability that the mean age exceeds 73 years?

(Essay)

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Question 124

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

(Multiple Choice)

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Question 125

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 126

If a random sample of size n is drawn from a normal population,then the sampling distribution of the sample mean $\bar { X }$ will be:

(Multiple Choice)

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Question 127

Number of Fish Tanks The following data give the number of fish tanks owned for a population of 4 families. Family A B C D Number af Fish Tanks Owned 2 1 4 3 -{Number of Fish Tanks Narrative} Find the sampling distribution of $\bar { X }$ ,and use it to calculate the mean and the standard deviation of $\bar { X }$ .

(Essay)

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Question 128

The standard error of the difference $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ is equal to the standard error of the difference $\bar { X } _ { 2 } - \bar { X } _ { 1 }$ .

(True/False)

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Question 129

CFO's Salary Suppose that the starting salaries of female CFO's have a positively skewed distribution with mean of $56,000 and a standard deviation of $12,000.The starting salaries of male CFO's are positively skewed with a mean of $50,000 and a standard deviation of $10,000.A random sample of 50 female CFO's and a random sample of 40 male CFO's are selected. -{CFO's Salary Narrative} What is the probability that the sample mean salary of male CFO's will not exceed that of the female CFO's?

(Essay)

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Question 130

College Dean A college dean would like to estimate a population mean to within 40 units with 99% confidence given that the population standard deviation is 200. -A sample of size 25 is selected from a population of size 500.The finite population correction is needed to find the standard error of $\bar { X }$ .

(True/False)

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Question 131

Given a binomial distribution with n trials and probability p of a success on any trial,a conventional rule of thumb is that the normal distribution will provide an adequate approximation of the binomial distribution if

(Multiple Choice)

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Question 132

Retirees A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years,respectively. -{Retirees Narrative} What is the probability that two randomly selected retirees are over 73 years of age?

(Essay)

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Question 133

The Central Limit Theorem states that,if a random sample of size n is drawn from a population,then the sampling distribution of the sample mean $\bar { X }$ :

(Multiple Choice)

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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 if four American adults are randomly selected,their average number of hours spent playing Poker is more than 5 hours per week.

(Essay)

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Question 135

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 the average annual revenue of a random sample of 4 businesses is less than $120,000?

(Essay)

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Question 136

If two populations are normally distributed,the sampling distribution of the difference in the sample means, $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ ,is:

(Multiple Choice)

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Question 137

The variance of the sampling distribution of $\bar { X }$ is ____________________ the variance of the population we're sampling from for all sample sizes.

(Essay)

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Question 138

The standard error of the sample proportion gets larger as:

(Multiple Choice)

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Question 139

Because the value of the ____________________ varies randomly from sample to sample,we can regard it as a new random variable created by sampling.

(Essay)

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Question 140

Showing 121 - 140 of 150

The owner of a meat market has an assistant who has determined that the weights of roasts are normally distributed,with a mean of 3.2 pounds and standard deviation of 0.8 pounds.If a sample of 25 roasts yields a mean of 3.6 pounds,what is the Z-score for this sample mean?

Retirees A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years,respectively. -(Retirees Narrative} Describe the shape of the sampling distribution of the sample mean in this case.

Retirees A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years,respectively. -{Retirees Narrative} What is the probability that the mean age exceeds 73 years?

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

If a random sample of size n is drawn from a normal population,then the sampling distribution of the sample mean $\bar { X }$ will be:

The standard error of the difference $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ is equal to the standard error of the difference $\bar { X } _ { 2 } - \bar { X } _ { 1 }$ .

Given a binomial distribution with n trials and probability p of a success on any trial,a conventional rule of thumb is that the normal distribution will provide an adequate approximation of the binomial distribution if

Retirees A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years,respectively. -{Retirees Narrative} What is the probability that two randomly selected retirees are over 73 years of age?

The Central Limit Theorem states that,if a random sample of size n is drawn from a population,then the sampling distribution of the sample mean $\bar { X }$ :

If two populations are normally distributed,the sampling distribution of the difference in the sample means, $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ ,is:

The variance of the sampling distribution of $\bar { X }$ is ____________________ the variance of the population we're sampling from for all sample sizes.

The standard error of the sample proportion gets larger as:

Because the value of the ____________________ varies randomly from sample to sample,we can regard it as a new random variable created by sampling.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

A: Numerical Descriptive Techniques

B: Numerical Descriptive Techniques

C: Numerical Descriptive Techniques

Data Collection and Sampling

Probability

A: Random Variables and Discrete Probability Distributions

B: 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

A: Simple Linear Regression and Correlation

B: Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analysis and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

Exam 9: Sampling Distributions

The owner of a meat market has an assistant who has determined that the weights of roasts are normally distributed,with a mean of 3.2 pounds and standard deviation of 0.8 pounds.If a sample of 25 roasts yields a mean of 3.6 pounds,what is the Z-score for this sample mean?

Retirees A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years,respectively. -(Retirees Narrative} Describe the shape of the sampling distribution of the sample mean in this case.

Retirees A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years,respectively. -{Retirees Narrative} What is the probability that the mean age exceeds 73 years?

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

If a random sample of size n is drawn from a normal population,then the sampling distribution of the sample mean Xˉ\bar { X }Xˉ will be:

The standard error of the difference Xˉ1−Xˉ2\bar { X } _ { 1 } - \bar { X } _ { 2 }Xˉ1​−Xˉ2​ is equal to the standard error of the difference Xˉ2−Xˉ1\bar { X } _ { 2 } - \bar { X } _ { 1 }Xˉ2​−Xˉ1​ .

Given a binomial distribution with n trials and probability p of a success on any trial,a conventional rule of thumb is that the normal distribution will provide an adequate approximation of the binomial distribution if

Retirees A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years,respectively. -{Retirees Narrative} What is the probability that two randomly selected retirees are over 73 years of age?

The Central Limit Theorem states that,if a random sample of size n is drawn from a population,then the sampling distribution of the sample mean Xˉ\bar { X }Xˉ :

If two populations are normally distributed,the sampling distribution of the difference in the sample means, Xˉ1−Xˉ2\bar { X } _ { 1 } - \bar { X } _ { 2 }Xˉ1​−Xˉ2​ ,is:

The variance of the sampling distribution of Xˉ\bar { X }Xˉ is ____________________ the variance of the population we're sampling from for all sample sizes.

The standard error of the sample proportion gets larger as:

Because the value of the ____________________ varies randomly from sample to sample,we can regard it as a new random variable created by sampling.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

A: Numerical Descriptive Techniques

B: Numerical Descriptive Techniques

C: Numerical Descriptive Techniques

Data Collection and Sampling

Probability

A: Random Variables and Discrete Probability Distributions

B: 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

A: Simple Linear Regression and Correlation

B: Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analysis and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

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

If a random sample of size n is drawn from a normal population,then the sampling distribution of the sample mean $\bar { X }$ will be:

The standard error of the difference $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ is equal to the standard error of the difference $\bar { X } _ { 2 } - \bar { X } _ { 1 }$ .

The Central Limit Theorem states that,if a random sample of size n is drawn from a population,then the sampling distribution of the sample mean $\bar { X }$ :

If two populations are normally distributed,the sampling distribution of the difference in the sample means, $\bar { X } _ { 1 } - \bar { X } _ { 2 }$ ,is:

The variance of the sampling distribution of $\bar { X }$ is ____________________ the variance of the population we're sampling from for all sample sizes.