Exam 6: Sampling Distributions

For the sake of argument,assume that 51% of the actual student voters in the university support the incumbent council president (p = 0.51).Calculate the probability of observing a sample proportion of voters 0.55 or higher supporting the incumbent council president.

(Essay)

4.8/5

(35)

Question 81

The sample mean is an unbiased,_______-variance point estimate of the population mean.

(Short Answer)

4.9/5

(41)

Question 82

It has been reported that the average time to download the home page from a government website was 0.9 seconds. Suppose that the download times were normally distributed with a standard deviation of 0.3 seconds. If random samples of 36 download times are selected: -What is the probability that the sample mean will be less than 0.80 seconds?

(Essay)

4.7/5

(29)

Question 83

The notation for the standard deviation of the sample mean is also known as the standard __________.

(Short Answer)

4.9/5

(37)

Question 84

For non-normal populations,as the sample size ___,the distribution of sample means approaches a distribution.

(Multiple Choice)

4.7/5

(37)

Question 85

A golf tournament organizer is attempting to determine whether hole (pin)placement has a significant impact on the average number of strokes for the 13^thhole on a given golf course.Historically,the pin has been placed in the front right corner of the green,and the historical mean number of strokes for the hole has been 4.25,with a standard deviation of 1.6 strokes.On a particular day during the most recent golf tournament,the organizer placed the hole (pin)in the back left corner of the green.64 golfers played the hole with the new placement on that day.Determine the probability of the sample average number of strokes exceeding 4.75.

(Essay)

4.9/5

(34)

Question 86

A random sample of size 1,000 is taken from a population where, for some characteristic of the population, p = .20. -Find P( $\hat { p }$ < .22).

(Essay)

4.9/5

(35)

Question 87

If $\mu$ = 400,P( $\bar { x }$ < 396)=.0228,and n = 100,then the population standard deviation $\sigma$ Is _____.

(Multiple Choice)

4.9/5

(32)

Question 88

Suppose you take a random sample of size n = 16 from a normally distributed population with $\mu$ = 40 and $\sigma$ = 16.Find P( $\bar { x }$ < 35).

(Essay)

4.8/5

(33)

Question 89

Find P ( $\bar { x }$ > 49).

(Essay)

4.9/5

(37)

Question 90

If we take a sample of size n = 100 from a population with $\mu$ = 400 and $\sigma$ = 200,find P( $\bar { x }$ < 402).

(Multiple Choice)

4.8/5

(37)

Question 91

The _____ says that if the sample size is sufficiently large,then the sample means are approximately normally distributed even if the sampled population is not normal.

(Short Answer)

4.7/5

(40)

Question 92

A random sample of size 30 is taken from a population with mean 50 and standard deviation 5. -Describe the shape of the sampling distribution of $\bar { x }$ .

(Essay)

4.9/5

(29)

Question 93

If the sampled population has a mean of 48 and standard deviation of 16,then for a sample of size n = 16 the sampling distribution of $\bar { x }$ Has a mean of and a standard deviation of .

(Multiple Choice)

4.9/5

(36)

Question 94

Suppose you take a random sample of size n = 100 from a population with $\mu$ = 400.If P( $\bar { x }$ < 380)= 0.0668,find $\sigma$ .

(Essay)

4.9/5

(38)

Question 95

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

(True/False)

4.7/5

(32)

Question 96

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. -The mean of the sampling distribution of the sample proportion $\hat { p }$

(Short Answer)

4.9/5

(28)

Question 97

The population of all sample proportions has an approximately normal distribution if the sample size (n)is sufficiently large.The rule of thumb for ensuring that n is sufficiently large is:

(Multiple Choice)

4.8/5

(32)

Question 98

In the upcoming students' council election, the most recent poll based on 900 students predicts that the incumbent will be re-elected with 55% of the votes. -From the 900 students,how many indicated that they would not vote for the current students' council president or indicated that they were undecided?

(Short Answer)

4.8/5

(30)

Question 99

Suppose you take a sample of 40 observations from a uniform distribution.Based on this sample,the sampling distribution of $\bar { x }$ is _______.

(Short Answer)

4.8/5

(36)

Question 100

Showing 81 - 100 of 119

For the sake of argument,assume that 51% of the actual student voters in the university support the incumbent council president (p = 0.51).Calculate the probability of observing a sample proportion of voters 0.55 or higher supporting the incumbent council president.

The sample mean is an unbiased,_______-variance point estimate of the population mean.

The notation for the standard deviation of the sample mean is also known as the standard __________.

For non-normal populations,as the sample size ___,the distribution of sample means approaches a distribution.

A random sample of size 1,000 is taken from a population where, for some characteristic of the population, p = .20. -Find P( $\hat { p }$ < .22).

If $\mu$ = 400,P( $\bar { x }$ < 396)=.0228,and n = 100,then the population standard deviation $\sigma$ Is _____.

Suppose you take a random sample of size n = 16 from a normally distributed population with $\mu$ = 40 and $\sigma$ = 16.Find P( $\bar { x }$ < 35).

Find P ( $\bar { x }$ > 49).

If we take a sample of size n = 100 from a population with $\mu$ = 400 and $\sigma$ = 200,find P( $\bar { x }$ < 402).

The _____ says that if the sample size is sufficiently large,then the sample means are approximately normally distributed even if the sampled population is not normal.

A random sample of size 30 is taken from a population with mean 50 and standard deviation 5. -Describe the shape of the sampling distribution of $\bar { x }$ .

If the sampled population has a mean of 48 and standard deviation of 16,then for a sample of size n = 16 the sampling distribution of $\bar { x }$ Has a mean of and a standard deviation of .

Suppose you take a random sample of size n = 100 from a population with $\mu$ = 400.If P( $\bar { x }$ < 380)= 0.0668,find $\sigma$ .

The sampling distribution of the sample mean $\bar { x }$ is the probability distribution of the population of all possible values of the sample mean that could be obtained from all possible samples of the same sample 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. -The mean of the sampling distribution of the sample proportion $\hat { p }$

The population of all sample proportions has an approximately normal distribution if the sample size (n)is sufficiently large.The rule of thumb for ensuring that n is sufficiently large is:

Suppose you take a sample of 40 observations from a uniform distribution.Based on this sample,the sampling distribution of $\bar { x }$ is _______.

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

For the sake of argument,assume that 51% of the actual student voters in the university support the incumbent council president (p = 0.51).Calculate the probability of observing a sample proportion of voters 0.55 or higher supporting the incumbent council president.

The sample mean is an unbiased,_______-variance point estimate of the population mean.

The notation for the standard deviation of the sample mean is also known as the standard __________.

For non-normal populations,as the sample size ___________________,the distribution of sample means approaches a ________________ distribution.

A random sample of size 1,000 is taken from a population where, for some characteristic of the population, p = .20. -Find P( p^\hat { p }p^​ < .22).

If μ\muμ = 400,P( xˉ\bar { x }xˉ < 396)=.0228,and n = 100,then the population standard deviation σ\sigmaσ Is _____.

Suppose you take a random sample of size n = 16 from a normally distributed population with μ\muμ = 40 and σ\sigmaσ = 16.Find P( xˉ\bar { x }xˉ < 35).

Find P ( xˉ\bar { x }xˉ > 49).

If we take a sample of size n = 100 from a population with μ\muμ = 400 and σ\sigmaσ = 200,find P( xˉ\bar { x }xˉ < 402).

The _____ says that if the sample size is sufficiently large,then the sample means are approximately normally distributed even if the sampled population is not normal.

A random sample of size 30 is taken from a population with mean 50 and standard deviation 5. -Describe the shape of the sampling distribution of xˉ\bar { x }xˉ .

If the sampled population has a mean of 48 and standard deviation of 16,then for a sample of size n = 16 the sampling distribution of xˉ\bar { x }xˉ Has a mean of ____ and a standard deviation of ____.

Suppose you take a random sample of size n = 100 from a population with μ\muμ = 400.If P( xˉ\bar { x }xˉ < 380)= 0.0668,find σ\sigmaσ .

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

The population of all sample proportions has an approximately normal distribution if the sample size (n)is sufficiently large.The rule of thumb for ensuring that n is sufficiently large is:

Suppose you take a sample of 40 observations from a uniform distribution.Based on this sample,the sampling distribution of xˉ\bar { x }xˉ is _______.

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

For non-normal populations,as the sample size ___,the distribution of sample means approaches a distribution.

A random sample of size 1,000 is taken from a population where, for some characteristic of the population, p = .20. -Find P( $\hat { p }$ < .22).

If $\mu$ = 400,P( $\bar { x }$ < 396)=.0228,and n = 100,then the population standard deviation $\sigma$ Is _____.

Suppose you take a random sample of size n = 16 from a normally distributed population with $\mu$ = 40 and $\sigma$ = 16.Find P( $\bar { x }$ < 35).

Find P ( $\bar { x }$ > 49).

If we take a sample of size n = 100 from a population with $\mu$ = 400 and $\sigma$ = 200,find P( $\bar { x }$ < 402).

A random sample of size 30 is taken from a population with mean 50 and standard deviation 5. -Describe the shape of the sampling distribution of $\bar { x }$ .

If the sampled population has a mean of 48 and standard deviation of 16,then for a sample of size n = 16 the sampling distribution of $\bar { x }$ Has a mean of and a standard deviation of .

Suppose you take a random sample of size n = 100 from a population with $\mu$ = 400.If P( $\bar { x }$ < 380)= 0.0668,find $\sigma$ .

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

Suppose you take a sample of 40 observations from a uniform distribution.Based on this sample,the sampling distribution of $\bar { x }$ is _______.