Question 1

SCENARIO 7-5 According to an article, 19% of the entire population in a developing country has high-speed access to the Internet.Random samples of size 200 are selected from the country's population.
-Referring to Scenario 7-5, the standard error of all the sample proportions is ______.

Accepted Answer

The answer of SCENARIO 7-5 According to an article, 19%...

Question 2

SCENARIO 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 Scenario 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 SCENARIO 7-4 According to a survey, only...

Question 3

SCENARIO 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 Scenario 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 as follows: 
1. The sample size is large enough (n≥10)
2. The population is at least 10 times larger than the sample size (N≥10n)
Since the sample size (50) is large enough and the population size is assumed to be much larger than the sample size, both requirements are fulfilled. Therefore, we can use a normal distribution to approximate a binomial distribution in this scenario. The requirements for using a normal distribution to approximate a binomial distribution are fulfilled when np and n(1-p) are both greater than or equal to 10, where n is the sample size and p is the probability of success. In this scenario, n=50 and p=0.15, so np=7.5 and n(1-p)=42.5, which are both greater than or equal to 10. Therefore, the requirements are fulfilled and a normal distribution can be used to approximate the binomial distribution.

Question 4

A study at a college in the west coast reveals that, historically, 45% of the 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 college in the...

Question 5

A study at a college in the west coast reveals that, historically, 45% of the 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 college in the...

Question 6

A study at a college in the west coast reveals that, historically, 45% of the students are minority students.If random samples of size 75 are selected, the standard error of the proportion of students in the samples who are minority students is _________.

Accepted Answer

The answer of A study at a college in the...

Question 7

SCENARIO 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 Scenario 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 SCENARIO 7-4 According to a survey, only...

Question 8

SCENARIO 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 Scenario 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 SCENARIO 7-4 According to a survey, only...

Question 9

A study at a college in the west coast reveals that, historically, 45% of the 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 college in the...

Question 10

A study at a college in the west coast reveals that, historically, 45% of the students are minority students.The expected percentage of minority students in their next group of freshmen is _______.

Accepted Answer

The answer of A study at a college in the...

Question 11

SCENARIO 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 Scenario 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 SCENARIO 7-4 According to a survey, only...

Question 12

SCENARIO 7-5 According to an article, 19% of the entire population in a developing country has high-speed access to the Internet.Random samples of size 200 are selected from the country's population.
-Referring to Scenario 7-5, the population mean of all the sample proportions is ______.

Accepted Answer

The answer of SCENARIO 7-5 According to an article, 19%...

Question 13

SCENARIO 7-5 According to an article, 19% of the entire population in a developing country has high-speed access to the Internet.Random samples of size 200 are selected from the country's population.
-Referring to Scenario 7-5, among all the random samples of size 200, ______ % will have between 14% and 24% who have high-speed access to the Internet.

Accepted Answer

The answer of SCENARIO 7-5 According to an article, 19%...

Question 14

SCENARIO 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 Scenario 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 SCENARIO 7-4 According to a survey, only...

Question 15

SCENARIO 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 Scenario 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 SCENARIO 7-4 According to a survey, only...

Question 16

SCENARIO 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 Scenario 7-4, the mean of all the sample proportions of customers who will make a purchase after visiting the web site is _______.

Accepted Answer

The answer of SCENARIO 7-4 According to a survey, only...

Question 17

SCENARIO 7-3 The lifetimes of a certain brand of light bulbs are known to be normally distributed with a mean of 1,600 hours and a standard deviation of 400 hours.A random sample of 64 of these light bulbs is taken.
-Referring to Scenario 7-3, the probability is 0.20 that the sample mean lifetime differs from the population mean lifetime by at least how many hours?

Accepted Answer

The answer of SCENARIO 7-3 The lifetimes of a certain...

Question 18

A study at a college in the west coast reveals that, historically, 45% of the 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 college in the...

Question 19

SCENARIO 7-5 According to an article, 19% of the entire population in a developing country has high-speed access to the Internet.Random samples of size 200 are selected from the country's population.
-Referring to Scenario 7-5, among all the random samples of size 200, ______ % will have between 9% and 29% who have high-speed access to the Internet.

Accepted Answer

The answer of SCENARIO 7-5 According to an article, 19%...

Question 20

SCENARIO 7-5 According to an article, 19% of the entire population in a developing country has high-speed access to the Internet.Random samples of size 200 are selected from the country's population.
-Referring to Scenario 7-5, what is the probability more than 30% of the entire population will have high-speed access to the Internet?

Accepted Answer

The answer of SCENARIO 7-5 According to an article, 19%...

Quiz 7: Sampling Distributions

SCENARIO 7-5 According to an article, 19% of the entire population in a developing country has high-speed access to the Internet.Random samples of size 200 are selected from the country's population. -Referring to Scenario 7-5, the standard error of all the sample proportions is ______.

SCENARIO 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 Scenario 7-4, the requirements for using a normal distribution to approximate a binomial distribution is fulfilled.

A study at a college in the west coast reveals that, historically, 45% of the students are minority students.If random samples of size 75 are selected, 95% of the samples will have more than ______% of minority students.

A study at a college in the west coast reveals that, historically, 45% of the students are minority students.If random samples of size 75 are selected, 80% of the samples will have less than ______% of minority students.

A study at a college in the west coast reveals that, historically, 45% of the students are minority students.If random samples of size 75 are selected, the standard error of the proportion of students in the samples who are minority students is _________.

A study at a college in the west coast reveals that, historically, 45% of the 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.

A study at a college in the west coast reveals that, historically, 45% of the students are minority students.The expected percentage of minority students in their next group of freshmen is _______.

SCENARIO 7-5 According to an article, 19% of the entire population in a developing country has high-speed access to the Internet.Random samples of size 200 are selected from the country's population. -Referring to Scenario 7-5, the population mean of all the sample proportions is ______.

A study at a college in the west coast reveals that, historically, 45% of the 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.