Exam 6: Sampling Distributions

The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 cm and a standard deviation of 0.2 cm. -Suppose the standard deviation increases to 0.3 cm.What is the probability that average length of a steel sheet from a sample of 9 units is more than 29.95 cm long?

(Essay)

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Question 61

Find P ( $\bar { x }$ < 48).

(Essay)

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Question 62

The sample mean is always equal to the population mean whenever the sample mean is computed from 30 or more observations.

(True/False)

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Question 63

If we have a sample size of 100 and a population proportion of 0.10,the mean of the sampling distribution of $\hat { p }$ Is ____.

(Multiple Choice)

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Question 64

The _______________________ of the sample mean $\bar { x }$ is the probability distribution of the population of all possible sample means that could be obtained from all possible samples of the same size.

(Short Answer)

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Question 65

The diameter of small toy balls manufactured at a factory is expected to be approximately normally distributed with a mean of 5.2 cm and a standard deviation of .08 cm. Suppose a random sample of 20 balls are selected. -Find the interval that contains 95.44% of the sample means.

(Short Answer)

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Question 66

The number of defectives in the samples of 50 observations each are the following: 5,1,1,2,3,3,1,4,2,3.What is the estimate of the population proportion of defectives?

(Multiple Choice)

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Question 67

Suppose that 60 percent of the employees in a particular union support a candidate for union president.The probability that a sample of 1,000 employees would yield a sample proportion in favour of the candidate within 2 percentage points is _____.

(Multiple Choice)

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Question 68

If we take a sample of size n = 100 from a population with $\mu$ = 400 and $\sigma$ = 20,find P(395.4 < $\bar { x }$ < 404.6).

(Multiple Choice)

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Question 69

The sampling distribution of $\bar { x }$ must be a normal distribution with a mean 0 and standard deviation 1.

(True/False)

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Question 70

Consider a sampling distribution formed based on n = 9.If the standard deviation of the population of individual measurements is $\sigma$ ,then the standard deviation of the population of all sample means $\sigma _ { \bar { x } }$ Equals ____.

(Multiple Choice)

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Question 71

The number of defectives in the samples of 100 observations each are the following: 1,2,1,0,2,3,1,4,2,1.What is the estimate of the population proportion of defectives?

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Question 72

The diameter of small toy balls manufactured at a factory is expected to be approximately normally distributed with a mean of 5.2 cm and a standard deviation of .08 cm. Suppose a random sample of 20 balls are selected. -Calculate the mean of the sampling distribution of the sample mean.

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Question 73

Suppose you take a random sample of size n = 100 from a population with $\mu$ = 400 and $\sigma$ = 200.Find P( $\bar { x }$ < 380).

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Question 74

The diameter of small toy balls manufactured at a factory is expected to be approximately normally distributed with a mean of 5.2 cm and a standard deviation of .08 cm. Suppose a random sample of 20 balls are selected. -What percentage of sample means will be less than 5.00 cm?

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Question 75

The sampling distribution of a sample proportion is approximately normal if and only if np $\geq$ 5.

(Short Answer)

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Question 76

Packages of sugar bags for Sweeter Sugar Inc.have an average weight of 16 grams and a standard deviation of 0.3 grams.The weights of the sugar bags are normally distributed.What is the probability that 9 randomly selected packages will have a weight in excess of 16.025 grams?

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Question 77

If we have a sample size of 100 and a population proportion of 0.10,we can approximate the sampling distribution of $\hat { p }$ with a normal distribution.

(True/False)

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Question 78

In a manufacturing process a machine produces bolts. The lengths of the bolts follow a normal distribution with an average of 3 cm and a variance of 0.03 cm2. If we randomly select three bolts from this process: -What is the probability the mean length of the bolt is at most 3.1 cm?

(Multiple Choice)

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Question 79

For a finite population,the sampling distribution of the sample mean $\bar { x }$ can be developed by repeatedly taking all samples of size n and computing the sample means and reporting the resulting sample means in the form of a probability distribution.

(True/False)

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Question 80

Showing 61 - 80 of 119

Find P ( $\bar { x }$ < 48).

The sample mean is always equal to the population mean whenever the sample mean is computed from 30 or more observations.

If we have a sample size of 100 and a population proportion of 0.10,the mean of the sampling distribution of $\hat { p }$ Is ____.

The _______________________ of the sample mean $\bar { x }$ is the probability distribution of the population of all possible sample means that could be obtained from all possible samples of the same size.

The diameter of small toy balls manufactured at a factory is expected to be approximately normally distributed with a mean of 5.2 cm and a standard deviation of .08 cm. Suppose a random sample of 20 balls are selected. -Find the interval that contains 95.44% of the sample means.

The number of defectives in the samples of 50 observations each are the following: 5,1,1,2,3,3,1,4,2,3.What is the estimate of the population proportion of defectives?

Suppose that 60 percent of the employees in a particular union support a candidate for union president.The probability that a sample of 1,000 employees would yield a sample proportion in favour of the candidate within 2 percentage points is _____.

If we take a sample of size n = 100 from a population with $\mu$ = 400 and $\sigma$ = 20,find P(395.4 < $\bar { x }$ < 404.6).

The sampling distribution of $\bar { x }$ must be a normal distribution with a mean 0 and standard deviation 1.

Consider a sampling distribution formed based on n = 9.If the standard deviation of the population of individual measurements is $\sigma$ ,then the standard deviation of the population of all sample means $\sigma _ { \bar { x } }$ Equals ____.

The number of defectives in the samples of 100 observations each are the following: 1,2,1,0,2,3,1,4,2,1.What is the estimate of the population proportion of defectives?

The diameter of small toy balls manufactured at a factory is expected to be approximately normally distributed with a mean of 5.2 cm and a standard deviation of .08 cm. Suppose a random sample of 20 balls are selected. -Calculate the mean of the sampling distribution of the sample mean.

Suppose you take a random sample of size n = 100 from a population with $\mu$ = 400 and $\sigma$ = 200.Find P( $\bar { x }$ < 380).

The diameter of small toy balls manufactured at a factory is expected to be approximately normally distributed with a mean of 5.2 cm and a standard deviation of .08 cm. Suppose a random sample of 20 balls are selected. -What percentage of sample means will be less than 5.00 cm?

The sampling distribution of a sample proportion is approximately normal if and only if np $\geq$ 5.

Packages of sugar bags for Sweeter Sugar Inc.have an average weight of 16 grams and a standard deviation of 0.3 grams.The weights of the sugar bags are normally distributed.What is the probability that 9 randomly selected packages will have a weight in excess of 16.025 grams?

If we have a sample size of 100 and a population proportion of 0.10,we can approximate the sampling distribution of $\hat { p }$ with a normal distribution.

In a manufacturing process a machine produces bolts. The lengths of the bolts follow a normal distribution with an average of 3 cm and a variance of 0.03 cm2. If we randomly select three bolts from this process: -What is the probability the mean length of the bolt is at most 3.1 cm?

For a finite population,the sampling distribution of the sample mean $\bar { x }$ can be developed by repeatedly taking all samples of size n and computing the sample means and reporting the resulting sample means in the form of a probability distribution.

An Introduction to Business Statistics

Descriptive Statistics

Probability

Discrete Random Variables

Continuous Random Variables

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Correlation Coefficient and Simple Linear Regression Analysis

Multiple Regression and Model Building

Nonparametric Methods

Chi-Square Tests

Decision Theory

Time Series Forecasting

Filters

Exam 6: Sampling Distributions

Find P ( xˉ\bar { x }xˉ < 48).

The sample mean is always equal to the population mean whenever the sample mean is computed from 30 or more observations.

If we have a sample size of 100 and a population proportion of 0.10,the mean of the sampling distribution of p^\hat { p }p^​ Is ____.

The _______________________ of the sample mean xˉ\bar { x }xˉ is the probability distribution of the population of all possible sample means that could be obtained from all possible samples of the same size.

The diameter of small toy balls manufactured at a factory is expected to be approximately normally distributed with a mean of 5.2 cm and a standard deviation of .08 cm. Suppose a random sample of 20 balls are selected. -Find the interval that contains 95.44% of the sample means.

The number of defectives in the samples of 50 observations each are the following: 5,1,1,2,3,3,1,4,2,3.What is the estimate of the population proportion of defectives?

Suppose that 60 percent of the employees in a particular union support a candidate for union president.The probability that a sample of 1,000 employees would yield a sample proportion in favour of the candidate within 2 percentage points is _____.

If we take a sample of size n = 100 from a population with μ\muμ = 400 and σ\sigmaσ = 20,find P(395.4 < xˉ\bar { x }xˉ < 404.6).

The sampling distribution of xˉ\bar { x }xˉ must be a normal distribution with a mean 0 and standard deviation 1.

Consider a sampling distribution formed based on n = 9.If the standard deviation of the population of individual measurements is σ\sigmaσ ,then the standard deviation of the population of all sample means σxˉ\sigma _ { \bar { x } }σxˉ​ Equals ____.

The number of defectives in the samples of 100 observations each are the following: 1,2,1,0,2,3,1,4,2,1.What is the estimate of the population proportion of defectives?

The diameter of small toy balls manufactured at a factory is expected to be approximately normally distributed with a mean of 5.2 cm and a standard deviation of .08 cm. Suppose a random sample of 20 balls are selected. -Calculate the mean of the sampling distribution of the sample mean.

Suppose you take a random sample of size n = 100 from a population with μ\muμ = 400 and σ\sigmaσ = 200.Find P( xˉ\bar { x }xˉ < 380).

The diameter of small toy balls manufactured at a factory is expected to be approximately normally distributed with a mean of 5.2 cm and a standard deviation of .08 cm. Suppose a random sample of 20 balls are selected. -What percentage of sample means will be less than 5.00 cm?

The sampling distribution of a sample proportion is approximately normal if and only if np ≥\geq≥ 5.

Packages of sugar bags for Sweeter Sugar Inc.have an average weight of 16 grams and a standard deviation of 0.3 grams.The weights of the sugar bags are normally distributed.What is the probability that 9 randomly selected packages will have a weight in excess of 16.025 grams?

If we have a sample size of 100 and a population proportion of 0.10,we can approximate the sampling distribution of p^\hat { p }p^​ with a normal distribution.

In a manufacturing process a machine produces bolts. The lengths of the bolts follow a normal distribution with an average of 3 cm and a variance of 0.03 cm2. If we randomly select three bolts from this process: -What is the probability the mean length of the bolt is at most 3.1 cm?

For a finite population,the sampling distribution of the sample mean xˉ\bar { x }xˉ can be developed by repeatedly taking all samples of size n and computing the sample means and reporting the resulting sample means in the form of a probability distribution.

An Introduction to Business Statistics

Descriptive Statistics

Probability

Discrete Random Variables

Continuous Random Variables

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Correlation Coefficient and Simple Linear Regression Analysis

Multiple Regression and Model Building

Nonparametric Methods

Chi-Square Tests

Decision Theory

Time Series Forecasting

Filters

Find P ( $\bar { x }$ < 48).

If we have a sample size of 100 and a population proportion of 0.10,the mean of the sampling distribution of $\hat { p }$ Is ____.

The _______________________ of the sample mean $\bar { x }$ is the probability distribution of the population of all possible sample means that could be obtained from all possible samples of the same size.

If we take a sample of size n = 100 from a population with $\mu$ = 400 and $\sigma$ = 20,find P(395.4 < $\bar { x }$ < 404.6).

The sampling distribution of $\bar { x }$ must be a normal distribution with a mean 0 and standard deviation 1.

Consider a sampling distribution formed based on n = 9.If the standard deviation of the population of individual measurements is $\sigma$ ,then the standard deviation of the population of all sample means $\sigma _ { \bar { x } }$ Equals ____.

Suppose you take a random sample of size n = 100 from a population with $\mu$ = 400 and $\sigma$ = 200.Find P( $\bar { x }$ < 380).

The sampling distribution of a sample proportion is approximately normal if and only if np $\geq$ 5.

If we have a sample size of 100 and a population proportion of 0.10,we can approximate the sampling distribution of $\hat { p }$ with a normal distribution.

For a finite population,the sampling distribution of the sample mean $\bar { x }$ can be developed by repeatedly taking all samples of size n and computing the sample means and reporting the resulting sample means in the form of a probability distribution.