Question 1

As the sample size increases the variability of the sampling distribution of the sample mean ______________.

Accepted Answer

The answer of As the sample size increases the variability...

Question 2

Suppose you take a random sample from a normally distributed population with mean
$\mu$ = 2500 and compute the sample mean $\bar { x }$ .If $\sigma _ { \bar { x } } ^ { 2 }$ = 49,find P( $\bar { x }$ < 2488).

Accepted Answer

@#IMG-DLM& 
= 2500 and compute

Question 3

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 least 3.16 cm?

Accepted Answer

A) 0.9772 
B) 0.0548 
C) 0.9452 
D) 0.4452 
E) 0.0228 
A) 0.9772 
B) 0.0548 
C) 0.9452 
D) 0.4452 
E) 0.0228

Question 4

The reason sample variance has a divisor of n-1 rather than n is that it makes the variance an unbiased estimate of the population variance.

Accepted Answer

A) True 
 B)False

Question 5

A random sample of size 1,000 is taken from a population where, for some characteristic of the population, p = .20.
-What is $\sigma _ { \hat { p } }$ ?

Accepted Answer

The answer of A random sample of size 1,000 is...

Question 6

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 4 percentage points of the actual proportion is _____.

Accepted Answer

A) 0.9786 
B) 0.9878 
C) 0.9902 
D) 0.5398 
E) 0.8413 
A) 0.9786 
B) 0.9878 
C) 0.9902 
D) 0.5398 
E) 0.8413

Question 7

Suppose you take a random sample from a normally distributed population with mean
$\mu$ = 175 and compute the sample mean $\bar { x }$ .If $\sigma _ { \bar { x } } ^ { 2 }$ = 9,find P( $\bar { x }$ < 170).

Accepted Answer

@#IMG-DLM& 
= 175 and compute

Question 8

The central limit theorem states that if the sample size is sufficiently large,then the sampling distribution of the sample ________ is approximately normal,even if the sampled population is not normally distributed.

Accepted Answer

A) median 
B) mode 
C) standard deviation 
D) variance 
E) mean 
A) median 
B) mode 
C) standard deviation 
D) variance 
E) mean

Question 9

If a population distribution is known to be normal,then it follows that:

Accepted Answer

A) the sample mean must equal the population mean. 
B) the sample mean must equal the population mean for large samples. 
C) the sample standard deviation must equal the population standard deviation. 
D) the sample distribution of the sample mean is approximately normal. 
E) the sample distribution of the sample mean is exactly normal. 
A) the sample mean must equal the population mean. 
B) the sample mean must equal the population mean for large samples. 
C) the sample standard deviation must equal the population standard deviation. 
D) the sample distribution of the sample mean is approximately normal. 
E) the sample distribution of the sample mean is exactly normal.

Question 10

A random sample of size 1,000 is taken from a population where, for some characteristic of the population, p = .20.
-Find P($\hat { p }$ > .175).

Accepted Answer

The answer of A random sample of size 1,000 is...

Question 11

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.
-A sample of four metal sheets is randomly selected from a batch.What is the probability that the average length of a sheet is between 30.25 and 30.35 cm long?

Accepted Answer

The answer of The population of lengths of aluminum-coated steel...

Question 12

Find P ( $\bar { x }$ > 50.5).

Accepted Answer

The answer of Find P ( $\bar { x }$...

Question 13

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 standard deviation of the sample mean?

Accepted Answer

A) 03 
B) 01 
C) 1732 
D) 0577 
E) 10 
A) 03 
B) 01 
C) 1732 
D) 0577 
E) 10

Question 14

For any sampled population and any sample size,the population of all sample means is approximately normally distributed.

Accepted Answer

A) True 
 B)False

Question 15

Suppose you take a random sample of size n = 4 from a normally distributed population with
$\mu$ = 16 and $\sigma$ = 8.Find P( $\bar { x }$ < 25).

Accepted Answer

@#IMG-DLM& 
= 16 and

Question 16

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:
-Calculated the mean of the sampling distribution of the sampling mean.

Accepted Answer

The answer of It has been reported that the average...

Question 17

Calculated$\sigma _ { \bar { x } }$ .

Accepted Answer

The answer of Calculated\(\sigma _ { \bar { x }...

Question 18

Find the interval that contains 95.44% of the sample means.

Accepted Answer

3.4,3.6
[3

Question 19

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?

Accepted Answer

The answer of The number of defectives in the samples...

As the sample size increases the variability of the sampling distribution of the sample mean ______________.

Suppose you take a random sample from a normally distributed population with mean $\mu$ = 2500 and compute the sample mean $\bar { x }$ .If $\sigma _ { \bar { x } } ^ { 2 }$ = 49,find P( $\bar { x }$ < 2488).

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 least 3.16 cm?

The reason sample variance has a divisor of n-1 rather than n is that it makes the variance an unbiased estimate of the population variance.

A random sample of size 1,000 is taken from a population where, for some characteristic of the population, p = .20. -What is $\sigma _ { \hat { p } }$ ?

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 4 percentage points of the actual proportion is _____.

Suppose you take a random sample from a normally distributed population with mean $\mu$ = 175 and compute the sample mean $\bar { x }$ .If $\sigma _ { \bar { x } } ^ { 2 }$ = 9,find P( $\bar { x }$ < 170).

The central limit theorem states that if the sample size is sufficiently large,then the sampling distribution of the sample ________ is approximately normal,even if the sampled population is not normally distributed.

If a population distribution is known to be normal,then it follows that:

A random sample of size 1,000 is taken from a population where, for some characteristic of the population, p = .20. -Find P( $\hat { p }$ > .175).

Find P ( $\bar { x }$ > 50.5).

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 standard deviation of the sample mean?

For any sampled population and any sample size,the population of all sample means is approximately normally distributed.

Suppose you take a random sample of size n = 4 from a normally distributed population with $\mu$ = 16 and $\sigma$ = 8.Find P( $\bar { x }$ < 25).

Calculated $\sigma _ { \bar { x } }$ .

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?

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

As the sample size increases the variability of the sampling distribution of the sample mean ______________.

Suppose you take a random sample from a normally distributed population with mean μ\muμ = 2500 and compute the sample mean xˉ\bar { x }xˉ .If σxˉ2\sigma _ { \bar { x } } ^ { 2 }σxˉ2​ = 49,find P( xˉ\bar { x }xˉ < 2488).

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 least 3.16 cm?

The reason sample variance has a divisor of n-1 rather than n is that it makes the variance an unbiased estimate of the population variance.

A random sample of size 1,000 is taken from a population where, for some characteristic of the population, p = .20. -What is σp^\sigma _ { \hat { p } }σp^​​ ?

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 4 percentage points of the actual proportion is _____.

Suppose you take a random sample from a normally distributed population with mean μ\muμ = 175 and compute the sample mean xˉ\bar { x }xˉ .If σxˉ2\sigma _ { \bar { x } } ^ { 2 }σxˉ2​ = 9,find P( xˉ\bar { x }xˉ < 170).

The central limit theorem states that if the sample size is sufficiently large,then the sampling distribution of the sample ________ is approximately normal,even if the sampled population is not normally distributed.

If a population distribution is known to be normal,then it follows that:

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^​ > .175).

Find P ( xˉ\bar { x }xˉ > 50.5).

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 standard deviation of the sample mean?

For any sampled population and any sample size,the population of all sample means is approximately normally distributed.

Suppose you take a random sample of size n = 4 from a normally distributed population with μ\muμ = 16 and σ\sigmaσ = 8.Find P( xˉ\bar { x }xˉ < 25).

Calculated σxˉ\sigma _ { \bar { x } }σxˉ​ .

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?

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

Suppose you take a random sample from a normally distributed population with mean $\mu$ = 2500 and compute the sample mean $\bar { x }$ .If $\sigma _ { \bar { x } } ^ { 2 }$ = 49,find P( $\bar { x }$ < 2488).

A random sample of size 1,000 is taken from a population where, for some characteristic of the population, p = .20. -What is $\sigma _ { \hat { p } }$ ?

Suppose you take a random sample from a normally distributed population with mean $\mu$ = 175 and compute the sample mean $\bar { x }$ .If $\sigma _ { \bar { x } } ^ { 2 }$ = 9,find P( $\bar { x }$ < 170).

A random sample of size 1,000 is taken from a population where, for some characteristic of the population, p = .20. -Find P( $\hat { p }$ > .175).

Find P ( $\bar { x }$ > 50.5).

Suppose you take a random sample of size n = 4 from a normally distributed population with $\mu$ = 16 and $\sigma$ = 8.Find P( $\bar { x }$ < 25).

Calculated $\sigma _ { \bar { x } }$ .