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VCU STAT 210 - Final Exam Practice Test #1

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Final Exam Practice Test #1Final Exam Practice Test #1 George Herbert Walker Bush, born June 12, 1924, was an American politician who served as the 41st President ofthe United States from 1989 to 1993. President Bush died on November 30, 2018, at the age of 94 years, 171 days. Hehas the distinction of being the longest-lived president in American history, and is also one of only two Presidentswho had children also serve as President (the other being John Adams).President Bush received honorary degrees from several American and International Universities, including a Doctorof Humanities (H.H.D) from Liberty University in 1990 and a Doctor of Laws (L.L.D) from the College of Williamand Mary in 1995. Both coincided with commencement speeches delivered by President Bush. Suppose the number of people attending all commencement ceremonies follows a normal distribution with mean 7,843people and standard deviation 741 people. Use this information to answer questions 1 through 3. 1. There were 6,803 people at the 1995 College of William and Mary commencement ceremony. Based on thedistribution above, what is the probability that the number of people attending a commencement ceremony will be6,803 or more? Please circle your final answer.2. In 2018 Liberty University is one of the largest places of higher education in the world. However, in 1990 it was asmall mostly liberal arts school that had few people attend commencement ceremonies. Based on the distributiondescribed above, how many people must attend a commencement ceremony to fall in the bottom 5.82% of thedistribution? Please circle your final answer.3. A simple random sample of 14 commencement ceremonies is selected and the number of people attending thecommencement ceremony is determined for each. If appropriate, describe completely the sampling distribution of¯X, the resulting mean number of people attending commencement ceremonies for this sample of 14 ceremonies.Following his presidency, President Bush mostly retired from politics, but did participate in many activities,including joint humanitarian activities with his successor, President Bill Clinton. In February 2006, President Bushdelivered the eulogy at the funeral of Coretta Scott King, wife of Dr. Martin Luther King, Jr.4. For questions 4 through 9 the population of interest is all eulogies, and of interest is to make inferences about themean number of minutes that all eulogies last. Based on this, using both the appropriate symbol and in words, what isthe parameter of interest?________ 5. What type of characteristic is “number of minutes (a countable amount) that a eulogy lasts”?(A) Continuous quantitative variable (B) Qualitative variable (C) Discrete quantitative variable (D) Constant6. It is conjectured that the mean number of minutes that all eulogies last is 28 minutes, and of interest is to test thisconjecture versus the alternative that the mean number of minutes that all eulogies last is different from 28 minutes.State the appropriate null and alternative hypotheses that should be tested.7. A simple random sample of 20 eulogies was selected and the length of each (in minutes) was recorded. The data islisted below.17 25 31 43 26 21 36 34 35 49 23 31 42 38 33 29 20 39 41 27(a) Calculate the mean and standard deviation of this data. (b) Construct an appropriate stem-and-leaf plot to graphically display this data.(c) Use the stem-and-leaf plot and appropriate statistics to completely describe the distribution of eulogy times.8. To test the hypotheses stated in question 6 two assumptions must be satisfied. List the two assumptions, and use theinformation in question 7 to indicate whether or not they are satisfied.9. If appropriate, use the data for the simple random sample of 20 eulogies to test the hypotheses stated in question 6 atsignificance level  = .05. Note that the mean and standard deviation of this data were calculated in question 7.10. President Bush was born in Massachusetts, but lived much of his life in Texas. Following his death many people haveexpressed condolences, either in writing, verbally, or through social media. For all people who have expressedcondolences since President Bush’s death, of interest is to estimate the proportion who live in the state of Texas.Based on this, what is the population of interest?11. Consider the information in question 10. Based on this, using both the appropriate symbol and in words, what is theparameter of interest?________ 12. What type of characteristic is “state in which a person lives”?(A) Continuous quantitative variable (B) Qualitative variable (C) Discrete quantitative variable (D) Constant13. The goal is to estimate the parameter stated in question 11 using a 90% confidence interval with margin of error nolarger than 0.075. What is the minimum number of people who have expressed condolences since President Bush’sdeath that would need to be selected to allow the calculation of a 90% confidence interval with margin of error nolarger than 0.075? It can be assumed for this problem only that the proportion of all people who have expressedcondolences since President Bush’s death who live in the state of Texas is 0.38, and this number can be used for thisproblem. Please circle your final answer.14. A simple random sample of 125 people who have expressed condolences since President Bush’s death was selected.Of these people, 50 live in the state of Texas and the other 75 live in other states or countries. If appropriate, use thisdata to calculate and interpret a 90% confidence interval for the proportion of all people who have expressedcondolences since President Bush’s death who live in the state of Texas.________ 15. In question 14 a 90% confidence interval was computed based on a sample of 125 people who haveexpressed condolences since President Bush’s death. If the confidence level were increased to 99%, whatimpact would this have on the margin of error and width of the confidence interval?(A) Neither the margin of error nor the width would be affected.(B) Both the margin of error and the width would increase.(C) Both the margin of error and the width would decrease.(D) The margin of error would increase and the width would decrease.(E) The margin of error would decrease and the width would increase.16. Is the proportion of all people who


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