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- 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 235 Fundash runners and 275 Coolsprint runners. (Consider these as independent random samples of the Fundash and Coolspring runners.) The 235 Fundash runners complete the course with a mean time of 78.1 minutes and a standard deviation of 6.7 minutes. The 275 individuals complete Coolsprint with a mean time of 76.4 minutes and a standard deviation of 8.1 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 0.01 level of significance, is there enough evidence to support the claim that the mean completion time, u,, of Fundash is greater than…1. c) southwestern variable. True False The daily fuel consumption by a fleet of buses serving a large city is an example of a discrete random3. Two board members were chosen at random from 12 candidates of which 8 were independent candidates. a. Determine the probability distribution for the number of independent candidates selected. b. Find the mean and the variance of the distribution of the number of independent candidates chosen as board members.
- The question is in the attachmentSuppose you rolled a fair six-sided die a few times and recorded the results. (You would have a collection of numbers 1-6.) Now, suppose you wanted to average these numbers. What value would you expect? If the die was rolled 6 times and the results were: 1, 4, 2, 2, 3, 2, then the average of this sample of rolls would be 2.333. This experiment could be peformed again: 6, 5, 2, 1, 1, 4. Now, the average of this sample is 3.167. Obviously, these small samples have a lot of variation in them; however, is there a way to calculate the expected average? If we were to construct a very large sample, rolling this die 1 million times, what would the expected value (mean) be? Luckily, the rules of probability allows us to do this calculation without actually having to roll the die 1 million times! Below, you will find a probability table where all of the possible outcomes from the die are listed. The first column contains the possible outcomes on the die, the second column contains the…12. A biased coin with probability of heads p = 0.6 is thrown 10 times. Find the variance of the number of heads. Give the answer as an irreducible fraction p/q with integer p and q. Answer. enter number enter number
- A biologist wants to determine if different temperatures (15oC, 25oC, or 35oC) and amounts of sunlight (partial or full) will affect the growth of plants. He will test each combination of temperature and sunlight by randomly assigning 15 plants to each of the combinations. What type of sampling is described in this study? one sample paired data two samples more than two samples6. In a survey of 460 drivers from the South, 394 wear a seat belt. In a survey of 340 drivers from the Northeast, 287 wear a seat belt. At x = 0.09, can you support the claim that the proportion of drivers who wear seat belts is greater in the South than in the Northeast? Assume the random samples are independent. Complete parts (a) through (e). (a) Identify the claim and state Ho and Ha. The claim is "the proportion of drivers who wear seat belts in the South is greater than in the Northeast." Let p, represent the population proportion for the South, and p2 represent the population proportion for the Northeast. State Ho and Ha- Choose the correct answer below. C. Ho: P1 2 P2 Ha: P1 P2 Ha: P1 SP2 B. Ho: P1 P2 (b) Find the critical value(s) and identify the rejection region(s). The critical value(s) is(are) (Use a comma to separate answers as needed. Type an integer or a decimal. Round to two decimal places as needed.) Identify the rejection region(s). Select the correct choice below…A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs shoulde located based on the percentage of residents living below the poverty line in each region of the city. He takes a simple random sample of 130 people living in Gastown and finds that 21 have an annual income that is below the poverty line. Part i) The proportion of the 130 people who are living below the poverty line, 21/130, is a: A. parameter. B. statistic. C. variable of interest. Part ii) Use the sample data to compute a 95% confidence interval for the true proportion of Gastown residents living below the poverty line. (Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places). 00 95% confidence interval=
