Question 1

How many different samples of size 3 can be selected from a population of 12 ?

Accepted Answer

220

Question 2

If the mean of a random sample of size 400 is used to estimate the mean of an infinite population with a standard deviation of 60 , the probability is 0.95 that the error is less than

Accepted Answer

A)  1.96 . 
B)  117.6 . 
C)  3.92 . 
D)  5.88 . 
A)  1.96 . 
B)  117.6 . 
C)  3.92 . 
D)  5.88 . D

Question 3

Random samples of size 2 are selected from the finite population which consists of the numbers 4, 7, 10, 13, 16, and 19.
-Calculate the mean and variance of the probability distribution of the mean for the 15 possible random samples of size 2 from the given finite population. Verify the results by comparing them with the results obtained by using the appropriate formulas.

Accepted Answer

$\sigma_{\bar{x}}=3.24, \mu_{\bar{x}}=11.5$

Question 4

An investor considers investing in the stocks of the following companies: IBM, Honeywell, Mobil, Eastman Kodak, and Homestake Mining.
-Find the probability of selecting any particular sample of two stocks.

Accepted Answer

The answer of An investor considers investing in the stocks...

Question 5

An investor considers investing in the stocks of the following companies: IBM, Honeywell, Mobil, Eastman Kodak, and Homestake Mining.
-Find the probability of any particular one of the companies being included in a sample of two stocks.

Accepted Answer

The answer of An investor considers investing in the stocks...

Question 6

The distribution of the totality of all sample means is called _______.

Accepted Answer

the sampli

Question 7

The standard error of the mean of a sample of 100 items from a population will be equal to _______ times the standard error of the mean of 25 items.

Accepted Answer

A)  $\frac{1}{4}$ 
B)  $\frac{1}{2}$ 
C)  4 
D)  2 
A)  $\frac{1}{4}$ 
B)  $\frac{1}{2}$ 
C)  4 
D)  2

Question 8

Suppose that in a group of six athletes there are three jockeys whose heights are 60,65 , and 55 inches, and three basketball players whose heights are 80,75 , and 85 inches.
-List all possible stratified random samples of size 2 which may be taken by selecting one jockey and one basketball player. Calculate the means of these samples, and calculate $\sigma_{\bar{x}}$.

Accepted Answer

The answer of Suppose that in a group of six...

Question 9

The central limit theorem can be used to estimate the

Accepted Answer

A)  population mean from the sample mean. 
B)  probability of error in using $\bar{x}$ to estimate $\mu$. 
C)  mean of the sampling distribution by using the population mean. 
D)  standard error of the mean by using $\sigma$. 
A)  population mean from the sample mean. 
B)  probability of error in using $\bar{x}$ to estimate $\mu$. 
C)  mean of the sampling distribution by using the population mean. 
D)  standard error of the mean by using $\sigma$.

Question 10

The allocation in stratified sampling will be proportional if $n_{i}=$ _______ for $i=1,2, \ldots, k$.

Accepted Answer

The answer of The allocation in stratified sampling will be...

Question 11

Suppose we want to estimate the mean salary of seven people based on a sample of size 3 . The salaries of the seven people in thousands of dollars are $25,10,19,57,53,55$, and 63 , so that the population means we want to estimate is $\mu=36.5$. If the first three of these salaries are those of bank trainees and the other four are salaries of officers in the bank, find $n_{1}$ and $n_{2}$ if the allocation is
-optimum.

Accepted Answer

The answer of Suppose we want to estimate the mean...

Question 12

Random samples of size 2 are selected from the finite population which consists of the numbers 4, 7, 10, 13, 16, and 19.
-Find the mean and standard deviation of this population.

Accepted Answer

The answer of Random samples of size 2 are selected...

Question 13

The value we use for the standard error of the mean when $n$ is at least $5 \%$ of the population size is

Accepted Answer

A)  $\frac{\sigma}{\sqrt{n}} \sqrt{\frac{N-n}{N-1}}$. 
B)  $\sigma$. 
C)  $\frac{\sigma}{\sqrt{n}}$. 
D)  $s$. 
A)  $\frac{\sigma}{\sqrt{n}} \sqrt{\frac{N-n}{N-1}}$. 
B)  $\sigma$. 
C)  $\frac{\sigma}{\sqrt{n}}$. 
D)  $s$.

Question 14

A new cure for the common cold has the side effect of producing dizziness in the user for an average of 40 minutes with a standard deviation of 12 minutes.
-In a random sample of 64 people who take the drug, find the probability that the average time that a user remains dizzy is at least 38 minutes.

Accepted Answer

The answer of A new cure for the common cold...

Question 15

A new cure for the common cold has the side effect of producing dizziness in the user for an average of 40 minutes with a standard deviation of 12 minutes.
-In a random sample of 64 people who take the drug, give the standard error of the mean for the random variable.

Accepted Answer

The answer of A new cure for the common cold...

Question 16

We use the $\frac{\sigma}{\sqrt{n}}$ for the standard error of the mean if the sample size is _______.

Accepted Answer

The answer of We use the $\frac{\sigma}{\sqrt{n}}$ for the standard...

Question 17

The method of allocation such that for a fixed size, the sample chosen will have the smallest possible standard error for the estimate of the population mean is called optimum allocation.

Accepted Answer

A) True 
 B)False

Question 18

If the digits $0,2,4,6$, and 8 represent heads and the digits 1, 3, 5, 7, and 9 represent tails, then the random numbers 527, 648, 910, and 485 represent what sequence of numbers of heads in four flips of three coins?

Accepted Answer

A)  $2,1,1,3$ 
B)  $2,2,1,3$ 
C)  $2,0,2,1$ 
D)  $1,3,1,2$ 
A)  $2,1,1,3$ 
B)  $2,2,1,3$ 
C)  $2,0,2,1$ 
D)  $1,3,1,2$

Question 19

How many different samples of size 2 can be selected from a population of size 15 ?

Accepted Answer

The answer of How many different samples of size 2...

Question 20

The mean number of errors in a random sample of 100 accounts to be audited is used to estimate the mean of the population of accounts having a standard deviation of $\sigma=4$. What is the probability that the error will be less than 0.8
-using Chebyshev's theorem?

Accepted Answer

The answer of The mean number of errors in a...

How many different samples of size 3 can be selected from a population of 12 ?

If the mean of a random sample of size 400 is used to estimate the mean of an infinite population with a standard deviation of 60 , the probability is 0.95 that the error is less than

An investor considers investing in the stocks of the following companies: IBM, Honeywell, Mobil, Eastman Kodak, and Homestake Mining. -Find the probability of selecting any particular sample of two stocks.

An investor considers investing in the stocks of the following companies: IBM, Honeywell, Mobil, Eastman Kodak, and Homestake Mining. -Find the probability of any particular one of the companies being included in a sample of two stocks.

The distribution of the totality of all sample means is called _______.

The standard error of the mean of a sample of 100 items from a population will be equal to _______ times the standard error of the mean of 25 items.

The central limit theorem can be used to estimate the

The allocation in stratified sampling will be proportional if $n_{i}=$ _______ for $i=1,2, \ldots, k$ .

Random samples of size 2 are selected from the finite population which consists of the numbers 4, 7, 10, 13, 16, and 19. -Find the mean and standard deviation of this population.

The value we use for the standard error of the mean when $n$ is at least $5 \%$ of the population size is

A new cure for the common cold has the side effect of producing dizziness in the user for an average of 40 minutes with a standard deviation of 12 minutes. -In a random sample of 64 people who take the drug, find the probability that the average time that a user remains dizzy is at least 38 minutes.

A new cure for the common cold has the side effect of producing dizziness in the user for an average of 40 minutes with a standard deviation of 12 minutes. -In a random sample of 64 people who take the drug, give the standard error of the mean for the random variable.

We use the $\frac{\sigma}{\sqrt{n}}$ for the standard error of the mean if the sample size is _______.

The method of allocation such that for a fixed size, the sample chosen will have the smallest possible standard error for the estimate of the population mean is called optimum allocation.

If the digits $0,2,4,6$ , and 8 represent heads and the digits 1, 3, 5, 7, and 9 represent tails, then the random numbers 527, 648, 910, and 485 represent what sequence of numbers of heads in four flips of three coins?

How many different samples of size 2 can be selected from a population of size 15 ?

The mean number of errors in a random sample of 100 accounts to be audited is used to estimate the mean of the population of accounts having a standard deviation of $\sigma=4$ . What is the probability that the error will be less than 0.8 -using Chebyshev's theorem?

Introduction

Summarizing Data: Listing and Grouping

Summarizing Data: Measures of Location

Summarizing Data: Measures of Variation

Possibilities and Probabilities

Some Rules of Probability

Expectations and Decisions

Probability Distributions

The Normal Distribution

Problems of Estimation

Tests of Hypotheses: Means

Tests of Hypotheses: Standard Deviations

Tests of Hypotheses Based on Count Data

Analysis of Variance

Regression

Correlation

Nonparametric Tests

Filters

Exam 10: Sampling and Sampling Distributions

How many different samples of size 3 can be selected from a population of 12 ?

If the mean of a random sample of size 400 is used to estimate the mean of an infinite population with a standard deviation of 60 , the probability is 0.95 that the error is less than

An investor considers investing in the stocks of the following companies: IBM, Honeywell, Mobil, Eastman Kodak, and Homestake Mining. -Find the probability of selecting any particular sample of two stocks.

An investor considers investing in the stocks of the following companies: IBM, Honeywell, Mobil, Eastman Kodak, and Homestake Mining. -Find the probability of any particular one of the companies being included in a sample of two stocks.

The distribution of the totality of all sample means is called _______.

The standard error of the mean of a sample of 100 items from a population will be equal to _______ times the standard error of the mean of 25 items.

The central limit theorem can be used to estimate the

The allocation in stratified sampling will be proportional if ni=n_{i}=ni​= _______ for i=1,2,…,ki=1,2, \ldots, ki=1,2,…,k .

Random samples of size 2 are selected from the finite population which consists of the numbers 4, 7, 10, 13, 16, and 19. -Find the mean and standard deviation of this population.

The value we use for the standard error of the mean when nnn is at least 5%5 \%5% of the population size is

A new cure for the common cold has the side effect of producing dizziness in the user for an average of 40 minutes with a standard deviation of 12 minutes. -In a random sample of 64 people who take the drug, give the standard error of the mean for the random variable.

We use the σn\frac{\sigma}{\sqrt{n}}n​σ​ for the standard error of the mean if the sample size is _______.

The method of allocation such that for a fixed size, the sample chosen will have the smallest possible standard error for the estimate of the population mean is called optimum allocation.

If the digits 0,2,4,60,2,4,60,2,4,6 , and 8 represent heads and the digits 1, 3, 5, 7, and 9 represent tails, then the random numbers 527, 648, 910, and 485 represent what sequence of numbers of heads in four flips of three coins?

How many different samples of size 2 can be selected from a population of size 15 ?

The mean number of errors in a random sample of 100 accounts to be audited is used to estimate the mean of the population of accounts having a standard deviation of σ=4\sigma=4σ=4 . What is the probability that the error will be less than 0.8 -using Chebyshev's theorem?

Introduction

Summarizing Data: Listing and Grouping

Summarizing Data: Measures of Location

Summarizing Data: Measures of Variation

Possibilities and Probabilities

Some Rules of Probability

Expectations and Decisions

Probability Distributions

The Normal Distribution

Problems of Estimation

Tests of Hypotheses: Means

Tests of Hypotheses: Standard Deviations

Tests of Hypotheses Based on Count Data

Analysis of Variance

Regression

Correlation

Nonparametric Tests

Filters

The allocation in stratified sampling will be proportional if $n_{i}=$ _______ for $i=1,2, \ldots, k$ .

The value we use for the standard error of the mean when $n$ is at least $5 \%$ of the population size is

We use the $\frac{\sigma}{\sqrt{n}}$ for the standard error of the mean if the sample size is _______.

If the digits $0,2,4,6$ , and 8 represent heads and the digits 1, 3, 5, 7, and 9 represent tails, then the random numbers 527, 648, 910, and 485 represent what sequence of numbers of heads in four flips of three coins?

The mean number of errors in a random sample of 100 accounts to be audited is used to estimate the mean of the population of accounts having a standard deviation of $\sigma=4$ . What is the probability that the error will be less than 0.8 -using Chebyshev's theorem?