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MDK88
Section3.5Homework-All.pdf
6/9/2020 Section 3.5 Homework-Kiare Mays
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1.
Student: Kiare Mays Date: 06/09/20
Instructor: Valery Shemetov Course: MTH154 – Quantitative Reasoning (with MCR4)
Assignment: Section 3.5 Homework
(1) amount of money in a student's bank account value of a student's education
price of tuition student's income
You conduct a random survey of a representative sample of 150 college students on your campus and find the mean amount of money in a student's bank account is $ with a standard deviation of $ . Complete parts (a) through (b) below.
233 16.17
(a) Compute the standard error using the formula from the definition of the standard error of the mean, , where N
is the number of values in the sample.
SE ≈ SD
N
$ (Round to the nearest cent as needed.)
(b) Complete the following sentence.
There is a % probability that the average (1) on your campus is $ $ , which gives the interval from $ to $ .
99.7 ±
(Round to the nearest cent as needed.)
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2. In order to gauge public opinion about how to handle Iran's growing nuclear program, a research group surveyed by telephone and asked them to rate the threat Iran's nuclear program poses to the world on a scale of 1 to
10. Describe the population, sample, population parameters, and sample statistics.
1009 American men
Identify the population in the given problem. Choose the correct answer below.
A. The surveyed by telephone1009 American men B. All American men C. Half of all American men D. Some of the surveyed by telephone1009 American men
Identify the sample for the given problem. Choose the correct answer below.
A. Half of all American men B. Some of the surveyed by telephone1009 American men C. The surveyed by telephone1009 American men D. All American men
Identify the population parameter in the given study. Choose the correct answer below.
A. The total number of all American men B. The mean threat rating of all on Iran's nuclear programAmerican men C. The mean threat rating on Iran's nuclear program of the surveyed by
telephone 1009 American men
D. The number of selectedAmerican men
Identify the sample statistic. Choose the correct answer below.
A. The number of selectedAmerican men B. The total number of American men C. The mean threat rating on Iran's nuclear program of the surveyed by
telephone 1009 American men
D. The mean threat rating of all on Iran's nuclear programAmerican men
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3. A recent telephone poll of randomly selected revealed that in believe there has been progress in finding a cure for cancer in the last years. Describe the population, sample, population parameters, and sample statistics.
995 men 3 10 men 34
Identify the population in the given problem. Choose the correct answer below.
A. The selected995 men B. out of in the country3 10 men C. All in the countrymen D. out of of the selected3 10 995 men
Identify the sample for the given problem. Choose the correct answer below.
A. out of of the selected3 10 995 men B. The selected995 men C. All in the countrymen D. out of in the country3 10 men
Identify the population parameter in the given study. Choose the correct answer below.
A. The number of selectedmen B. The percentage of all in the country who believe there has been progressmen C. The total number of all in the countrymen D. The percentage of the selected who believe there has been progress995 men
Identify the sample statistic. Choose the correct answer below.
A. The proportion of all in the country who believe there has been progressmen B. The total number of all in the countrymen C. 995 D. out of 3 10
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4.
5.
In a poll, in a country were asked whether they favor or oppose the use of "federal tax dollars to fund medical research using stem cells obtained from human embryos." Among the respondents, % said that they were in favor. Describe the statistical study.
1,005 women 47
What is the population in the given problem? Choose the correct answer below.
A. All in the countrywomen B. The selected1,005 women C. % of all in the country47 women D. % of the selected47 1,005 women
Identify the sample for the given problem. Choose the correct answer below.
A. % of all in the country47 women B. % of the selected47 1,005 women C. The selected1,005 women D. All in the countrywomen
What is the population parameter in the given study? Choose the correct answer below.
A. The percentage of all in the country who say that they are in favorwomen B. The total number of all in the countrywomen C. The percentage of the selected who say that they are in favor1,005 women D. The number of selectedwomen
Identify the sample statistic. Choose the correct answer below.
A. 1,005 B. The total number of all in the countrywomen C. %53 D. %47
A poll is conducted the day before a state election for Senator. There are only two candidates running for this office. The poll results show that % of the voters favor the Republican candidate, with a margin of error of percentage points. Should the Republican expect to win? Why or why not?
56 4
Choose the correct answer below.
A. The results suggest that the Republican is just as likely to win or lose the election because % is very close to 50%.56
B. The results suggest that the Republican is likely to win a solid majority because he or she will most likely get between % and % of the vote.52 60
C. The results suggest that the Republican is not likely to win a solid majority because, when the margin of error is taken into account, he or she will most likely not get the majority of the vote.
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6.
7.
The following statistical study gives a sample statistic and a margin of error. Find the confidence interval and answer any additional questions.
A national survey of respondents reached on land lines and cell phones found that the percentage of adults who favor legalized abortion has dropped from % a year ago to %. The study claimed that the error attributable to sampling is
percentage points. Would you claim that a majority of people are not in favor of legalized abortion?
1508 54 43
± 6
The confidence interval for the study is % to %. (Type integer or decimals. Use ascending order.)
Would you claim that a majority of people are not in favor of legalized abortion?
A. No, the majority of people are in favor of legalized abortion because the confidence interval for those in favor of legalized abortion is below 50%.
B. Yes, the majority of people are not in favor of legalized abortion because the confidence interval for those in favor of legalized abortion is below 50%.
C. No, the majority of people are in favor of legalized abortion because the confidence interval for those who are not in favor of legalized abortion is below 50%.
D. The claim cannot be determined from the information given.
In a survey of people, (or %) said that they voted in a particular presidential election. The margin of error for this survey was percentage points. However, actual voting records show that only % of all eligible voters actually did vote. Does this imply that people lied when they responded in the survey? Explain.
1,002 701 70 3 59
Choose the correct answer below.
A. Based on the survey, when the margin of error is taken into account, the actual voter results are not unusual. Thus, the survey was conducted properly, and it does not imply that people lied when they responded to the survey.
B. Based on the survey, the actual percentage of voters is expected to be between and %, which does not include the % value based on actual voter results. If the survey was conducted properly, it is unlikely that its results would be so different from the actual results, implying either that respondents intentionally lied to appear favorable to the pollsters or that their memories were inaccurate.
67% 73 59
