Question 1

If we have a sample size of 500 and a population proportion of 0.995,we can approximate the sampling distribution of $\hat { p }$ with a normal distribution.

Accepted Answer

A) True 
 B)False

Question 2

A standardized test has a $\mu$ =3.5 and $\sigma$ =0.5.Suppose a random sample of 100 individual test scores is selected.
-What is$\mu _ { x }$ ?

Accepted Answer

The answer of A standardized test has a $\mu$ =3.5...

Question 3

The spread of the sampling distribution of $\bar { x }$ is ____________ than the spread of the corresponding population distribution.

Accepted Answer

The answer of The spread of the sampling distribution of...

Question 4

The chief chemist for a major oil/gasoline production company claims that the regular unleaded gasoline produced by the company contains on average 4 grams of a certain ingredient. The chemist further states that the distribution of this ingredient per L of regular unleaded gasoline is normal and has a standard deviation of 1.2 grams
-What is the probability of finding an average less than 3.85 grams of this ingredient from randomly inspected 64L of regular unleaded gasoline?

Accepted Answer

The answer of The chief chemist for a major oil/gasoline...

Question 5

A manufacturing company measures the weight of boxes before shipping them to the customers. If the box weights have a population mean and standard deviation of 90 kg and 24 kg respectively, then based on a sample size of 36 boxes, the probability that the average weight of the boxes will:
-Exceed 94 kg is:

Accepted Answer

A) 0.3413 
B) 0.8413 
C) 0.1587 
D) 0.5636 
E) 0.1687 
A) 0.3413 
B) 0.8413 
C) 0.1587 
D) 0.5636 
E) 0.1687

Question 6

If p = .9 and n = 40,then we can conclude that the sampling distribution of $\hat { p }$ is approximately a normal distribution.

Accepted Answer

A) True 
 B)False

Question 7

The internal auditing staff of a local manufacturing company performs a sample audit each quarter to estimate the proportion of accounts that are delinquent more than 90 days overdue.The historical records of the company show that over the past 8 years 13 percent of the accounts are delinquent.For this quarter,the auditing staff randomly selected 250 customer accounts.What is the probability that no more than 40 accounts will be classified as delinquent?

Accepted Answer

A) 0.4207 
B) 0.9207 
C) 0.0793 
D) 0.4015 
E) 0.9015 
A) 0.4207 
B) 0.9207 
C) 0.0793 
D) 0.4015 
E) 0.9015

Question 8

Like the Empirical Rule,the Central Limit Theorem is only applicable to symmetric distributions.

Accepted Answer

A) True 
 B)False

Question 9

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

Accepted Answer

A) 10 
B) 9 
C) 0.03 
D) 3 
E) 90 
A) 10 
B) 9 
C) 0.03 
D) 3 
E) 90

Question 10

Suppose you take a random sample from a normally distributed population with mean $\mu$
= 16 and compute the sample mean $\bar { x }$
.If $\sigma _ { \bar { x } } ^ { 2 }$
= 4,find P( $\bar { x }$
< 25).

Accepted Answer

A) 0300 
B) 1.000 
C) 1732 
D) 0577 
E) 8413 
A) 0300 
B) 1.000 
C) 1732 
D) 0577 
E) 8413

Question 11

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:
-Calculate the standard deviation of the sampling distribution of the sample mean.

Accepted Answer

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

Question 12

A random sample of size 1,000 is taken from a population where, for some characteristic of the population, p = .20.
-Find P($\hat { p }$ > .21).

Accepted Answer

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

Question 13

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?

Accepted Answer

A) 0399 
B) 0098 
C) 0170 
D) 0500 
E) 0813 
A) 0399 
B) 0098 
C) 0170 
D) 0500 
E) 0813

Question 14

What are the mean and the standard deviation of the sampling distribution of $\hat { p }$ ?

Accepted Answer

A) 0.16 and 0.0004 
B) 0.16 and 0.02 
C) 0.20 and 0.02 
D) 0.20 and 0.0004 
E) 0.20 and 0.16 
A) 0.16 and 0.0004 
B) 0.16 and 0.02 
C) 0.20 and 0.02 
D) 0.20 and 0.0004 
E) 0.20 and 0.16

Question 15

What is the probability that less than 64 patients will not be satisfied with the after-surgery care?

Accepted Answer

A) 0.4772 
B) 0.0228 
C) 0.9772 
D) 0.9544 
E) 0.0197 
A) 0.4772 
B) 0.0228 
C) 0.9772 
D) 0.9544 
E) 0.0197

Question 16

If the sampled population distribution is skewed,then in most cases the sampling distribution of the sample mean $\bar { x }$ can be approximated by the normal distribution if the sample size n is at least 30.

Accepted Answer

A) True 
 B)False

Question 17

If a population is known to be normally distributed,then it follows that the sample standard deviation s must equal the population standard deviation $\sigma$.

Accepted Answer

A) True 
 B)False

Question 18

What is the probability that the random sample of 100 test scores have a mean greater than 3.65?

Accepted Answer

.0013 @#IMG-DLM& 
,.

Question 19

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.
-What is the probability that randomly selected 4 sheets will have an average length of less than 29.9 cm long?

Accepted Answer

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

Question 20

Suppose you take a random sample of size n = 100 from a population with
$\mu$ = 400 and $\sigma$ = 20.Find P(396 < $\bar { x }$ < 401).

Accepted Answer

@#IMG-DLM& 
= 400 an

If we have a sample size of 500 and a population proportion of 0.995,we can approximate the sampling distribution of $\hat { p }$ with a normal distribution.

A standardized test has a $\mu$ =3.5 and $\sigma$ =0.5.Suppose a random sample of 100 individual test scores is selected. -What is $\mu _ { x }$ ?

The spread of the sampling distribution of $\bar { x }$ is ____________ than the spread of the corresponding population distribution.

If p = .9 and n = 40,then we can conclude that the sampling distribution of $\hat { p }$ is approximately a normal distribution.

Like the Empirical Rule,the Central Limit Theorem is only applicable to symmetric distributions.

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

Suppose you take a random sample from a normally distributed population with mean $\mu$ = 16 and compute the sample mean $\bar { x }$ .If $\sigma _ { \bar { x } } ^ { 2 }$ = 4,find P( $\bar { x }$ < 25).

A random sample of size 1,000 is taken from a population where, for some characteristic of the population, p = .20. -Find P( $\hat { p }$ > .21).

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?

What are the mean and the standard deviation of the sampling distribution of $\hat { p }$ ?

What is the probability that less than 64 patients will not be satisfied with the after-surgery care?

If the sampled population distribution is skewed,then in most cases the sampling distribution of the sample mean $\bar { x }$ can be approximated by the normal distribution if the sample size n is at least 30.

If a population is known to be normally distributed,then it follows that the sample standard deviation s must equal the population standard deviation $\sigma$ .

What is the probability that the random sample of 100 test scores have a mean greater than 3.65?

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. -What is the probability that randomly selected 4 sheets will have an average length of less than 29.9 cm long?

Suppose you take a random sample of size n = 100 from a population with $\mu$ = 400 and $\sigma$ = 20.Find P(396 < $\bar { x }$ < 401).

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

If we have a sample size of 500 and a population proportion of 0.995,we can approximate the sampling distribution of p^\hat { p }p^​ with a normal distribution.

A standardized test has a μ\muμ =3.5 and σ\sigmaσ =0.5.Suppose a random sample of 100 individual test scores is selected. -What is μx\mu _ { x }μx​ ?

The spread of the sampling distribution of xˉ\bar { x }xˉ is ____________ than the spread of the corresponding population distribution.

If p = .9 and n = 40,then we can conclude that the sampling distribution of p^\hat { p }p^​ is approximately a normal distribution.

Like the Empirical Rule,the Central Limit Theorem is only applicable to symmetric distributions.

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

Suppose you take a random sample from a normally distributed population with mean μ\muμ = 16 and compute the sample mean xˉ\bar { x }xˉ .If σxˉ2\sigma _ { \bar { x } } ^ { 2 }σxˉ2​ = 4,find P( xˉ\bar { x }xˉ < 25).

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^​ > .21).

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?

What are the mean and the standard deviation of the sampling distribution of p^\hat { p }p^​ ?

What is the probability that less than 64 patients will not be satisfied with the after-surgery care?

If the sampled population distribution is skewed,then in most cases the sampling distribution of the sample mean xˉ\bar { x }xˉ can be approximated by the normal distribution if the sample size n is at least 30.

If a population is known to be normally distributed,then it follows that the sample standard deviation s must equal the population standard deviation σ\sigmaσ .

What is the probability that the random sample of 100 test scores have a mean greater than 3.65?

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. -What is the probability that randomly selected 4 sheets will have an average length of less than 29.9 cm long?

Suppose you take a random sample of size n = 100 from a population with μ\muμ = 400 and σ\sigmaσ = 20.Find P(396 < xˉ\bar { x }xˉ < 401).

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

If we have a sample size of 500 and a population proportion of 0.995,we can approximate the sampling distribution of $\hat { p }$ with a normal distribution.

A standardized test has a $\mu$ =3.5 and $\sigma$ =0.5.Suppose a random sample of 100 individual test scores is selected. -What is $\mu _ { x }$ ?

The spread of the sampling distribution of $\bar { x }$ is ____________ than the spread of the corresponding population distribution.

If p = .9 and n = 40,then we can conclude that the sampling distribution of $\hat { p }$ is approximately a normal distribution.

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

Suppose you take a random sample from a normally distributed population with mean $\mu$ = 16 and compute the sample mean $\bar { x }$ .If $\sigma _ { \bar { x } } ^ { 2 }$ = 4,find P( $\bar { x }$ < 25).

A random sample of size 1,000 is taken from a population where, for some characteristic of the population, p = .20. -Find P( $\hat { p }$ > .21).

What are the mean and the standard deviation of the sampling distribution of $\hat { p }$ ?

If the sampled population distribution is skewed,then in most cases the sampling distribution of the sample mean $\bar { x }$ can be approximated by the normal distribution if the sample size n is at least 30.

If a population is known to be normally distributed,then it follows that the sample standard deviation s must equal the population standard deviation $\sigma$ .

Suppose you take a random sample of size n = 100 from a population with $\mu$ = 400 and $\sigma$ = 20.Find P(396 < $\bar { x }$ < 401).