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- One sample has n=7 and SS=35 and a second sample has n =17 and SS =45. What is the pooled variance for these two samples?If the 2412 leaves are not a random sample, but the researchers treated the 2412 leaves as a random sample, this most likely made the data more: accurate, but not precise precise, but not accurate neither both accurate and precise2. Reporting on cheats What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of 172 undergraduates at a large university: "You witness two students cheating on a quiz. Do you go to the professor?" Only 11% answered "Yes." The dotplot shows the proportion who would go to the professor in each of 1000 random samples of size 172 from a population where 11% would go to the professor. 17 0.1 0.15 0.2 0.25 Simulated sample proportion who would say "Yes" 0 0.05 Distribution of simulated proportion # samples 1000 mean 0.11 SD 0.024 (a) Use the results of the simulation to approximate the margin of error for Gallup's estimate of the proportion of U.S. adults who were satisfied with the way things were going in the United States at the time of the poll. (b) Interpret the margin of error.
- Two women are going to give birth to one child each. Give the sample space of the possible outcomes which consist of the gender of child (male, female) and blood group (A, B, AB, O).Help: Derive the CDF of a Geometric Random VariableA biologist argues that a certain species of fish found in Lake Tanzania in Africa should be classified in a different genus than the currently accepted genus for the species. A simple random sample of standard lengths of fully grown fish from the species in Lake Tanzania is given below: {116.2, 100.3, 118, 152.8, 141.3, 132.8, 95.6, 111.5, 95.2, 95.7} The population of alls such lengths is assumed to be close to normally distributed. Calculate the following interval estimates using this sample (note that the only one of the methods below can be used for a single sample in practice). Round answers to one decimal place accuracy. A 99% confidence interval for the mean of all fully grown fish of this type: type your answer... A 99% prediction interval for the length of one fully grown fish of this type is: type your answer... type your answer... type your answer...
- An adventure company runs two obstacle courses, Fundash and Coolsprint, with similar designs. Since Fundash was built on rougher terrain, the designer of the courses suspects that the mean completion time of Fundash is greater than the mean completion time of Coolsprint. To test this, she selects 205 Fundash runners and 260 Coolsprint runners. (Consider these as independent random samples of the Fundash and Coolspring runners.) The 205 Fundash runners complete the course with a mean time of 77.6 minutes and a standard deviation of 8.2 minutes. The 260 individuals complete Coolsprint with a mean time of 76.0 minutes and a standard deviation of 7.7 minutes. Assume that the population standard deviations of the completion times can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean completion time, u,, of Fundash is greater than…Question 15 You want to measure traffic on the Lake Lewisville Toll bridge during the late evening. Select all the discrete random variables (there may be more than one). The number of cars that use the bridge in one hour. The time between each car crossing the bridge. The time each car crosses the bridge. The total number of cars that cross the bridge. Submit Question Search €0 WA new store is deciding what pens to stock up on. The owner wants to know if each colour of pen is equally popular so they can start ordering supplies. To find out, the owner selects a random sample of 100 students and asks them "What colour of pen do you prefer: Blue, Black, Red, or Green?" Here is the data collected from the sample of students: Blue = 35 people Black 31 people Red = 21 people Green 13 people = Calculate the appropriate test statistic for these data to determine if there is a preference in pen colour. Enter your calculated statistic below Answer:
- A transect is an archaeological study area that is mile wide and 1 mile long. A site in a transect is the location of a significant archaeological find. Let x represent the number of sites per transect. In a section of Chaco Canyon, a large number of transects showed that x has a population variance . In a different section of Chaco Canyon, a random sample of 23 transects gave a sample variance for the number of sites per transect. Use an to test the claim that the variance in the new section is greater than 36.4. What is the level of significance? 90% 1% 5% 95% 10%An adventure company runs two obstacle courses, Fundash and Coolsprint, with similar designs. Since Fundash was built on rougher terrain, the designer of the courses suspects that the mean completion time of Fundash is greater than the mean completion time of Coolsprint. To test this, she selects 230 Fundash runners and 210 Coolsprint runners. (Consider these as independent random samples of the Fundash and Coolspring runners.) The 230 Fundash runners complete the course with a mean time of 77.9 minutes and a standard deviation of 6.6 minutes. The 210 individuals complete Coolsprint with a mean time of 76.6 minutes and a standard deviation of 7.3 minutes. Assume that the population standard deviations of the completion times can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean completion time, U1, of Fundash is greater than…