# A+ Answers of the following Questions

**Thehonest**

Question 1

In a large city, 40% of the voters are Democrats. A simple random sample of 100 voters will be taken. What is the chance that there will be less than 35 Democrats exclusive?

a. 82%

b. 5%

c. 33%

d. 21%

e. 13%

Question 2

In a certain city, there are 100,000 persons age 18 to 24. A simple random sample of 500 such persons is drawn, of whom 198 turn out to be currently enrolled in college. Estimate the percentage of all persons age 18 to 24 in that city who are currently enrolled in college.

a. 39.2%

b. 41.1%

c. 39.6%

d. 38.8%

e. 40%

Question 3

In a certain city, there are 100,000 persons age 18 to 24. A simple random sample of 500 such persons is drawn, of whom 198 turn out to be currently enrolled in college. If possible, find a 95% confidence interval for the percentage of all persons age 18 to 24 in that city who are currently enrolled in college.

a. none of these

b. 35.22% to 43.98%

c. 33.06% to 40.41%

d. 36.72% to 45.48%

e. not possible

Question 1

A researcher wants to compare the English test scores of urban high school students and rural high school students. A simple random sample of 180 urban high school students is taken with a sample average of 88 and a SD of 7. An independent simple random sample of 150 rural high school students is taken with a sample average of 86 and an SD of 8. Let the population diff=pop avg for urban students - pop avg for rural students. The null hypothesis is that the population difference = 0. The alternative hypothesis is that the population difference is greater than 0. Find the sample average difference.

a. 7

b. 2

c. none of these

d. 8

e. 1

Question 2

A researcher wants to compare the English test scores of urban high school students and rural high school students. A simple random sample of 180 urban high school students is taken with a sample average of 88 and a SD of 7. An independent simple random sample of 150 rural high school students is taken with a sample average of 86 and an SD of 8. Let the population diff=pop avg for urban students - pop avg for rural students. The null hypothesis is that the population difference = 0. The alternative hypothesis is that the population difference is greater than 0. The null hypothesis is:

a. rejected

b. accepted

Question 3

A researcher wants to compare the English test scores of urban high school students and rural high school students. A simple random sample of 180 urban high school students is taken with a sample average of 88 and a SD of 7. An independent simple random sample of 150 rural high school students is taken with a sample average of 86 and an SD of 8. Let the population diff=pop avg for urban students - pop avg for rural students. The null hypothesis is that the population difference = 0. The alternative hypothesis is that the population difference is greater than 0. True or False: The test indicates that the observed difference is due to chance.

a. True

b. False

Question 1

A researcher wants to compare the English test scores of urban high school students and rural high school students. A simple random sample of 180 urban high school students is taken with a sample average of 88 and a SD of 7. An independent simple random sample of 150 rural high school students is taken with a sample average of 86 and an SD of 8. Let the population diff=pop avg for urban students - pop avg for rural students. The null hypothesis is that the population difference = 0. The alternative hypothesis is that the population difference is greater than 0. Find the value of the test statistic.

a. 3.77

b. 2.39

c. 6.22

d. 1.50

e. 1.90

Question 2

A researcher wants to compare the English test scores of urban high school students and rural high school students. A simple random sample of 180 urban high school students is taken with a sample average of 88 and a SD of 7. An independent simple random sample of 150 rural high school students is taken with a sample average of 86 and an SD of 8. Let the population diff=pop avg for urban students - pop avg for rural students. The null hypothesis is that the population difference = 0. The alternative hypothesis is that the population difference is greater than 0. Find the value of p.

a. 7.2%

b. 0.8%

c. 5%

d. 2.8%

e. 10%

Question 3

A researcher wants to study the spending habits of customers of a local shopping mall. The mall manager claims that the average spending per customer is $70, but the researcher believes that the average is less than $70. A simple random sample of 350 shoppers is obtained. The sample average is $65 and the sample SD is $27. Find the SE for the sample average.

a. 1.44

b. 1.27

c. 2.91

d. 1.34

e. 5.08

Question 1

A researcher wants to study the spending habits of customers of a local shopping mall. The mall manager claims that the average spending per customer is $70, but the researcher believes that the average is less than $70. A simple random sample of 350 shoppers is obtained. The sample average is $65 and the sample SD is $27. Find the null hypothesis.Answer

a. the sample average is less than $70

b. the population average is less than $70

c. the population average is greater than $70

d. the population average is $70

e. none of these

Question 2

A researcher wants to study the spending habits of customers of a local shopping mall. The mall manager claims that the average spending per customer is $70, but the researcher believes that the average is less than $70. A simple random sample of 350 shoppers is obtained. The sample average is $65 and the sample SD is $27. Find the alternative hypothesis.Answer

a. the population average is $70

b. the sample average is less than $70

c. the population average is less than $70

d. none of these

e. the population average is greater than $70

Question 3

A researcher wants to study the spending habits of customers of a local shopping mall. The mall manager claims that the average spending per customer is $70, but the researcher believes that the average is less than $70. A simple random sample of 350 shoppers is obtained. The sample average is $65 and the sample SD is $27. Should we believe the mall manager's claim?Answer

a. No

b. Yes

Question 1

A researcher wants to study the spending habits of customers of a local shopping mall. The mall manager claims that the average spending per customer is $70, but the researcher believes that the average is less than $70. A simple random sample of 350 shoppers is obtained. The sample average is $65 and the sample SD is $27. We should _________ the null hypothesis.

a. Accept

b. Reject

Question 2

There are 10 workers and 2 administrators in a company meeting room. Two people will be selected at random without replacement. The chance that the second person is a worker given that the first person is an administrator is:

a. 10/11

b. 5/6

c. none of these

d. 5/33

e. 15/66

Question 3

There are 5 Democrats, 6 Republicans, and 4 Independents in a room. Two people will be selected at random without replacement. The conditional probability that the second person is an Independent, given that the first person is a Republican is:

a. 1/22

b. none of these

c. 4/15

d. 2/7

e. 2/5

- 7 years ago

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