Suppose that 24% of customers use Diners as well as regular credit card. Calculate the approximate probabilit that fewer than 50 customers in the sample of 250 customers will hold both type of cards. O0.06944 O0.07927 O0.0778 00.05998 Report This Questic
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- A recent PwC survey of 1,379 CEOs from a wide range of industries representing a mix of company sizes from Asia, Europe, and the Americas indicated that CEOs are firmly convinced that it is harder to gain and retain people's trust in an increasingly digitalized world (pwc.to/2jFLzjF). Fifty-eight percent of CEOs are worried that lack of trust in business would harm their company's growth. Which risks arising from connectivity concern CEOs most? Eighty-seven percent believe that social media could have a negative impact on the level of trust in their industry over the next few years. But they also say new dangers are emerging and old ones are getting worse as new technologies and new uses of existing technologies increase rapidly. CEOs are particularly anxious about breaches in data security and ethics and IT outages and disruptions. A vast majority of CEOs are already taking steps to address these concerns, with larger-sized companies doing more than smaller-sized companies. a.…Suppose population 1 consists of all students who picked up all the tests they completed prior to taking the final exam. Suppose population 2 consists of all students who had one or more tests that they completed that were not picked up prior to taking the final exam. Based on years of grading final exams and observing grades, STAT 210 instructors conjecture that the mean final exam grade for all students who picked up all their tests is higher than the mean final exam grade for all students who had one or more tests that were not picked up. A simple random sample of 56 students who picked up all tests they completed was selected, and the mean score on the final exam for this sample of students was 83 with a standard deviation of 10.4. An independent simple random sample of 51 students who had one or more tests that were not picked up was selected, and the mean score on the final exam for this sample of students was 67 with a standard deviation of 24.2. Both distributions are skewed…During 2012 Texas had listed on FracFocus an industry fracking During 2012, Texas had listed on FracFocus, an industry fracking disclosure site, nearly 6,000 oil and gas wells in which the fracking methodology was used to extract natural gas. Fontenot et al. (2013) reports on a study of 100 private water wells in or near the Barnett Shale in Texas. There were 91 private wells located within 5 km of an active gas well using fracking, 4 private wells with no gas wells located within a 14 km radius, and 5 wells outside of the Barnett Shale with no gas well located with a 60 km radius. They found that there were elevated levels of potential contaminants such as arsenic and selenium in the 91 wells closest to natural gas extraction sites compared to the 9 wells that were at least 14 km away from an active gas well using the £ racking technique to extract natural gas. a. Identify the population that is of interest to the researchers. b. Describe the sample. c. What…
- 6) A small business owner you follow on TikTok is SO EXCITED because last month, she was able to begin selling her product in a popular chain store around the nation. Her contract with the chain store says that at any time, there will be at least 20 of her products sitting out on the shelves. She wants to conduct a survey to see if that is true. She visits 5 of the local chain stores around her and records the number of products of hers that are on the shelves. She will then construct a 95% confidence interval to determine the mean number of products on the shelves for all of the stores. (a) Discuss whether this study meets the each of the conditions for constructing a confidence interval. If one of the conditions has not been met, what additional information would be required or what change in the study would you recommend? (b) If, instead of constructing a 95% confidence interval, the business owner constructed a 98% confidence interval, would the 98% interval be wider, narrower, or…Suppose that we want to estimate the true rate r of covid-positive people in a popu- lation (where they are reluctant to disclose their status). We use the two-coin-toss method, and those who toss two heads will lie about their status, reporting the opposite status. After flipping their coins, 36% of the people report that they are covid-positive. What is our estimate for the rate r of covid-positive people in this population?Suppose population 1 consists of all students who picked up all the tests they completed prior to taking the final exam. Suppose population 2 consists of all students who had one or more tests that they completed that were not picked up prior to taking the final exam. Based on years of grading final exams and observing grades, STAT 210 instructors conjecture that the mean final exam grade for all students who picked up all their tests is greater than the mean final exam grade for all students who had one or more tests that were not picked up. A simple random sample of 56 students who picked up all tests they completed was selected, and the mean score on final exam for this sample of students was 83 with a standard deviation of 10.4. An independent simple random sample of 51 students who had one or more tests that were not picked up was selected, and the mean score on the final exam for this sample of students was 67 with a standard deviation of 24.2. Both distributions are skewed…
- 9. In order to investigate a rumor that there is a greater than expected number of girls among the children of chemists, Science magazine conducted an informal survey of eight chemistry departments. A secretary in the chemistry department at Indiana University, Bloomington, thought there might be something to this rumor and made sure that every one of the 34 faculty members in her department who have children responded to the Science survey. Altogether these Indiana chemists have 53 (56%) girls and 41 (44%) boys. Is this evidence that chemists produce more girl babies than expected? What kind of data would you prefer before drawing this type of conclusion? Explain how your idea would make the evidence produced more convincing.b) A certain pay television company wishes to estimate the proportion of its customers who would purchase a pay television program guide. To do this, the company manager decides to select a random sample of customers and note the number who would purchase a program guide. Suppose that experience in other areas suggests that about 13% of customers will purchase a program guide. How many customers should the company manager include in his sample if he wishes to estimate the true proportion who will purchase the program guide correct to within 5% (0.05) with a confidence level of 95%?A single strand of a DNA molecule is a sequence of nucleotides. There are four possible nucleotides in eachposition (step), one of which is cytosine (C). In a particular long strand, it has been observed that C appearsin 34.1% of the positions. Also, in 36.8% of the cases where C appears in one position along the strand, italso appears in the next position.1. What is the probability that a randomly chosen pair of adjacent nucleotides is CC (that has cytosinein both locations).2. If a position along the strand is not C, then what is the probability that the next position is C?3. If a position n along the strand is C, what is the probability that position n + 2 is also C? How aboutposition n + 4?4. Answer parts (a)- (c) if C appeared independently in any one position with probability 0.341.
