Question 1

A study at a university in New South Wales reveals that,historically,45% of their students are minority students.If a random sample of size 75 is selected,the probability is _________  that more than half of the students in the sample will be minority students.

Accepted Answer

The answer of A study at a university in New...

Question 2

To use the normal distribution to approximate the binomial distribution,we need __________and _________ to be at least 5.

Accepted Answer

The answer of To use the normal distribution to approximate...

Question 3

Instruction 7.5
According to an article, 19% of the entire Australian population have high-speed access to the Internet. Random samples of size 200 are selected from the Australian population.
-Referring to Instruction 7.5,the population mean of all the sample proportions is _________ .

Accepted Answer

The answer of Instruction 7.5
According to an article, 19% of...

Question 4

A study at a university in New South Wales reveals that,historically,45% of their students are minority students.If a random sample of size 75 is selected,the probability is _________ that between 30% and 50% of the students in the sample will be minority students.

Accepted Answer

The answer of A study at a university in New...

Question 5

Instruction 7.4
According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase. Random samples of size 50 are selected.
-Referring to Instruction 7.4,the standard deviation of all the sample proportions of customers who will make a purchase after visiting the web site is _________

Accepted Answer

The answer of Instruction 7.4
According to a survey, only 15%...

Question 6

A study at a university in New South Wales reveals that,historically,45% of their students are minority students.If random samples of size 75 are selected,95% of the samples will have more than _________ % of minority students.

Accepted Answer

The answer of A study at a university in New...

Question 7

Instruction 7.4
According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase. Random samples of size 50 are selected.
-Referring to Instruction 7.4,90% of the samples will have more than what percentage of customers who will make a purchase after visiting the web site?

Accepted Answer

The answer of Instruction 7.4
According to a survey, only 15%...

Question 8

Instruction 7.4
According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase. Random samples of size 50 are selected.
-Referring to Instruction 7.4,what is the probability that a random sample of 50 will have at least 30% of customers who will make a purchase after visiting the web site?

Accepted Answer

The answer of Instruction 7.4
According to a survey, only 15%...

Question 9

Instruction 7.4
According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase. Random samples of size 50 are selected.
-Referring to Instruction 7.4,90% of the samples will have less than what percentage of customers who will make a purchase after visiting the web site?

Accepted Answer

The answer of Instruction 7.4
According to a survey, only 15%...

Question 10

The standard error of the population proportion will become larger
A) as population proportion approaches 0.
B) as population proportion approaches 0.50.
C) as the sample size increases.
D) as population proportion approaches 1.00.

Accepted Answer

The standard error of the population proportion becomes larger as the population proportion approaches 0.50 because the formula for the standard error of a proportion includes the term sqrt[p(1-p)/n], where p is the population proportion and n is the sample size. The value of p(1-p) reaches its maximum at p = 0.5, making the standard error largest at this point.

Question 11

Instruction 7.4
According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase. Random samples of size 50 are selected.
-Referring to Instruction 7.4,the requirements for using a normal distribution to approximate a binomial distribution is fulfilled.

Accepted Answer

The requirements for using a normal distribution to approximate a binomial distribution are:
1. The sample size is large enough (n≥30)
2. The population proportion (p) is not too close to 0 or 1 (0.05≤p≤0.95)
In this case, the sample size is 50, which is larger than 30, and the population proportion is 0.15, which is not too close to 0 or 1. Therefore, the requirements are fulfilled and we can use a normal distribution to approximate the binomial distribution.

Question 12

The standard error of the sampling distribution of a sample proportion is $\sqrt { \frac { p ( 1 - p ) } { n } }$ where p is the sample proportion.

Accepted Answer

The formula given is for the standard error of the sampling distribution of a sample proportion, but $p$ should be the population proportion, not the sample proportion. The correct formula is $\sqrt { \frac { p ( 1 - p ) } { n } }$, where $p$ is the population proportion and $n$ is the sample size.

Question 13

Instruction 7.4
According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase. Random samples of size 50 are selected.
-Referring to Instruction 7.4,what proportion of the samples will have between 20% and 30% of customers who will make a purchase after visiting the web site?

Accepted Answer

The answer of Instruction 7.4
According to a survey, only 15%...

Question 14

A study at a university in New South Wales reveals that,historically,45% of their students are minority students.If random samples of size 75 are selected,80% of the samples will have less than _________ % of minority students.

Accepted Answer

The answer of A study at a university in New...

Question 15

The standard deviation of the sampling distribution of a sample proportion is $\sqrt { \frac { \pi ( 1 - \pi ) } { n } }$ where ? is the population proportion.

Accepted Answer

This is true. The formula for the standard deviation of the sampling distribution of a sample proportion is:

σp = sqrt((π(1-π))/n)

where π is the population proportion and n is the sample size.

Question 16

A study at a university in New South Wales reveals that,historically,45% of their students are minority students.The expected percentage of minority students in their next batch of first-year students is _________ .

Accepted Answer

The answer of A study at a university in New...

Question 17

The mean of the sampling distribution of a sample proportion is the population proportion,π.

Accepted Answer

This is true. The mean of the sampling distribution of a sample proportion is equal to the population proportion.

Question 18

Instruction 7.4
According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase. Random samples of size 50 are selected.
-Referring to Instruction 7.4,the average of all the sample proportions of customers who will make a purchase after visiting the web site is_________ .

Accepted Answer

The answer of Instruction 7.4
According to a survey, only 15%...

Question 19

Instruction 7.4
According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase. Random samples of size 50 are selected.
-Referring to Instruction 7.4,what proportion of the samples will have less than 15% of customers who will make a purchase after visiting the web site?

Accepted Answer

The answer of Instruction 7.4
According to a survey, only 15%...

Question 20

A study at a university in New South Wales reveals that,historically,45% of their students are minority students.If random samples of size 75 are selected,the standard error of the proportions of students in the samples who are minority students is_________

Accepted Answer

The answer of A study at a university in New...

Quiz 7: Sampling Distributions

A study at a university in New South Wales reveals that,historically,45% of their students are minority students.If a random sample of size 75 is selected,the probability is _________ that more than half of the students in the sample will be minority students.

To use the normal distribution to approximate the binomial distribution,we need __and _ to be at least 5.

Instruction 7.5 According to an article, 19% of the entire Australian population have high-speed access to the Internet. Random samples of size 200 are selected from the Australian population. -Referring to Instruction 7.5,the population mean of all the sample proportions is _________ .

A study at a university in New South Wales reveals that,historically,45% of their students are minority students.If a random sample of size 75 is selected,the probability is _________ that between 30% and 50% of the students in the sample will be minority students.

A study at a university in New South Wales reveals that,historically,45% of their students are minority students.If random samples of size 75 are selected,95% of the samples will have more than _________ % of minority students.

The standard error of the population proportion will become larger

Instruction 7.4 According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase. Random samples of size 50 are selected. -Referring to Instruction 7.4,the requirements for using a normal distribution to approximate a binomial distribution is fulfilled.

The standard error of the sampling distribution of a sample proportion is $\sqrt { \frac { p ( 1 - p ) } { n } }$ where p is the sample proportion.

A study at a university in New South Wales reveals that,historically,45% of their students are minority students.If random samples of size 75 are selected,80% of the samples will have less than _________ % of minority students.

The standard deviation of the sampling distribution of a sample proportion is $\sqrt { \frac { \pi ( 1 - \pi ) } { n } }$ where ? is the population proportion.

A study at a university in New South Wales reveals that,historically,45% of their students are minority students.The expected percentage of minority students in their next batch of first-year students is _________ .

The mean of the sampling distribution of a sample proportion is the population proportion,π.

A study at a university in New South Wales reveals that,historically,45% of their students are minority students.If random samples of size 75 are selected,the standard error of the proportions of students in the samples who are minority students is_________

Quiz 7: Sampling Distributions

A study at a university in New South Wales reveals that,historically,45% of their students are minority students.If a random sample of size 75 is selected,the probability is _________ that more than half of the students in the sample will be minority students.

To use the normal distribution to approximate the binomial distribution,we need __________and _________ to be at least 5.

Instruction 7.5 According to an article, 19% of the entire Australian population have high-speed access to the Internet. Random samples of size 200 are selected from the Australian population. -Referring to Instruction 7.5,the population mean of all the sample proportions is _________ .

A study at a university in New South Wales reveals that,historically,45% of their students are minority students.If a random sample of size 75 is selected,the probability is _________ that between 30% and 50% of the students in the sample will be minority students.

A study at a university in New South Wales reveals that,historically,45% of their students are minority students.If random samples of size 75 are selected,95% of the samples will have more than _________ % of minority students.

The standard error of the population proportion will become larger

Instruction 7.4 According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase. Random samples of size 50 are selected. -Referring to Instruction 7.4,the requirements for using a normal distribution to approximate a binomial distribution is fulfilled.

The standard error of the sampling distribution of a sample proportion is p(1−p)n\sqrt { \frac { p ( 1 - p ) } { n } }np(1−p)​​ where p is the sample proportion.

A study at a university in New South Wales reveals that,historically,45% of their students are minority students.If random samples of size 75 are selected,80% of the samples will have less than _________ % of minority students.

The standard deviation of the sampling distribution of a sample proportion is π(1−π)n\sqrt { \frac { \pi ( 1 - \pi ) } { n } }nπ(1−π)​​ where ? is the population proportion.

A study at a university in New South Wales reveals that,historically,45% of their students are minority students.The expected percentage of minority students in their next batch of first-year students is _________ .

The mean of the sampling distribution of a sample proportion is the population proportion,π.

A study at a university in New South Wales reveals that,historically,45% of their students are minority students.If random samples of size 75 are selected,the standard error of the proportions of students in the samples who are minority students is_________

To use the normal distribution to approximate the binomial distribution,we need __and _ to be at least 5.

The standard error of the sampling distribution of a sample proportion is $\sqrt { \frac { p ( 1 - p ) } { n } }$ where p is the sample proportion.

The standard deviation of the sampling distribution of a sample proportion is $\sqrt { \frac { \pi ( 1 - \pi ) } { n } }$ where ? is the population proportion.