term SPRING 2020 (Olympic) / 15 of 22 What is the limit of the function as x approaches infinity? y = O A. negative infinity о В. О о С. 1 O D. positive infinity
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A: Define Uniqueness of limits.
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Q: Give an example of the limit of a function at a boundary point of its domain?
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- A company studied the number of lost-time accidents occurring at its brownsville,Texas, plant. historical records show that 6% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce suchaccidents to 5% during the current year. In addition, it estimates that 15% of employeeswho had lost-time accidents last year will experience a lost-time accident during thecurrent year.a. What percentage of the employees will experience lost-time accidents in bothyears?An independent research group has been studying the chances that an accident at a nuclear power plant will result in radiation leakage. The group considers that the only possible types of accidents at a reactor are fire, mechanical failure, and human error, and that two or more accidents never occur together. It has performed studies that indicate that if there were a fire, a radiation leak would occur 20 percent of the time; if there were a mechanical failure, a radiation leak would occur 50 percent of the time; and if there were a human error, a radiation leak would occur 10 percent of the time. Its studies have also shown that the probability of A fire and a radiation leak occurring together is 0.0010. A mechanical failure and a radiation leak occurring together is 0.0015. A human error and a radiation leak occurring together is 0.0012. (a)What are the respective probabilities of a fire, mechanical failure, and human error? (b)What are the respective probabilities that a…Researchers are interested in determining if there is a difference in the proportion of women who choose the different types of treatments for those diagnosed with Ductal Carcinoma in Situ (DIS) breast cancer, which is a form of breast cancer that occurs in the Breast Ducts and has not spread. Following a diagnoses of DCIS, women can choose between three different treatment plans: a mastectomy or a lumpectomy followed by radiation therapy or a lumpectomy followed by Adjuvant Endocrine therapy. A random sample of 500 women diagnosed with DCIS breast cancer was obtained. Of the 500 women, 190 chose to have a mastectomy, 150 chose to have a lumpectomy followed by radiation, and 160 chose to have a lumpectomy followed by Adjuvant Endocrine therapy. At the 1% significance level, what conclusion can be reached?
- A national survey of 1,000 adults conducted on August 2-10, 2017 from CompareCards, conducted by Google Surveys, found that Americans trust cash the most (36 percent) for everyday purchases outside the house. When separated by age, it turns out that millennials trust cash the most, whereas baby boomers and older generations trust their credit card the most for everyday purchases. What is most likely the population?A seven-year medical research study reported that women whose mothers took the drugDES during pregnancy were twice as likely to develop tissue abnormalities that might leadto cancer as were women whose mothers did not take the drug.a. This study compared two populations. What were the populations?b. Do you suppose the data were obtained in a survey or an experiment?c. For the population of women whose mothers took the drug DES during pregnancy, asample of 3980 women showed that 63 developed tissue abnormalities that might leadto cancer. Provide a descriptive statistic that could be used to estimate the number ofwomen out of 1000 in this population who have tissue abnormalities.d. For the population of women whose mothers did not take the drug DES duringpregnancy, what is the estimate of the number of women out of 1000 who would beexpected to have tissue abnormalities?A seven-year medical research study reported that women whose mothers took the drugDES during pregnancy were twice as likely to develop tissue abnormalities that might leadto cancer as were women whose mothers did not take the drug.a. This study compared two populations. What were the populations?b. Do you suppose the data were obtained in a survey or an experiment?c. For the population of women whose mothers took the drug DES during pregnancy, asample of 3980 women showed that 63 developed tissue abnormalities that might leadto cancer. Provide a descriptive statistic that could be used to estimate the number ofwomen out of 1000 in this population who have tissue abnormalities
- the american association of individual investors conducts a weekly survey of its members to measure the percent who are bullish, bearish, and neutral on the stock market for thenext six months. for the week ending november 7, 2012, the survey results showed 38.5%bullish, 21.6% neutral, and 39.9% bearish (aaii website, november 12, 2012). assumethese results are based on a sample of 300 aaii members.a. over the long term, the proportion of bullish aaii members is .39. conduct a hypothesis test at the 5% level of significance to see if the current sample results show thatbullish sentiment differs from its long term average of .39. what are your findings?the american association of individual investors conducts a weekly survey of its members to measure the percent who are bullish, bearish, and neutral on the stock market for thenext six months. for the week ending november 7, 2012, the survey results showed 38.5%bullish, 21.6% neutral, and 39.9% bearish (aaii website, november 12, 2012). assumethese results are based on a sample of 300 aaii members.a. over the long term, the proportion of bullish aaii members is .39. conduct a hypothesis test at the 5% level of significance to see if the current sample results show thatbullish sentiment differs from its long term average of .39. what are your findings?b. over the long term, the proportion of bearish aaii members is .30. conduct a hypothesis test at the 1% level of significance to see if the current sample results show thatbearish sentiment is above its long term average of .30. what are your findings?the american association of individual investors conducts a weekly survey of its members to measure the percent who are bullish, bearish, and neutral on the stock market for thenext six months. for the week ending november 7, 2012, the survey results showed 38.5%bullish, 21.6% neutral, and 39.9% bearish (aaii website, november 12, 2012). assumethese results are based on a sample of 300 aaii members.a. over the long term, the proportion of bullish aaii members is .39. conduct a hypothesis test at the 5% level of significance to see if the current sample results show thatbullish sentiment differs from its long term average of .39. what are your findings?b. over the long term, the proportion of bearish aaii members is .30. conduct a hypothesis test at the 1% level of significance to see if the current sample results show thatbearish sentiment is above its long term average of .30. what are your findings?c. would you feel comfortable extending these results to all investors? why or why…
- A recent survey conducted by Gallup (an analytic and advice firm) estimated that 50% of students in Massachusetts prefer learning full-time in person, while the remaining 50% prefer a full-time remote or a hybrid arrangement. Suppose we assume that, among USC students, the proportion of those who prefer learning full-time in person instruction is the same as that estimated by Gallup for Massachusetts. We interview a random sample of 70 USC students regarding their preferences over full-time in person versus remote/hybrid instruction. c) Under our assumption that the preferences of USC students are the same as those estimated by Gallup for Massachusetts, using the approximation based on the Normal distribution, what is the sampling distribution of the proportion of interviewed students who prefer full-time in person instruction? d) Under our assumption that the preferences of UCI students are the same as those estimated by Gallup for Massachusetts, using the approximation based on…A Bloomberg Businessweek North American subscriber study collected data from a sample of 2861 subscribers. Fifty-nine percent of the respondents indicated an annual income of $75,000 or more, and 50% reported having an American Express credit card. a. What is the population of interest in this study? Group of answer choices Subscribers who reported having an American Express credit card. Subscribers with an annual income of $75,000 or more. 2861 subscribers of Business Week in North America at the time the survey was conducted. All subscribers of Business Week in North America at the time the survey was conducted. b. Does this study involve cross-sectional or time series data? Group of answer choices Time series Cross-sectionalAccording to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 2007 were for identity theft. In that year, Alaska had 321 complaints of identity theft out of 1,432 consumer complaints ("Consumer fraud and," 2008). Does this data provide enough evidence to show that Alaska had a lower proportion of identity theft than 23%? Test at the 5% level.