Exercise 2 * The following data can be used to approximate M = (e* + 2x) dx. N, (h) = 1.68394, N () = 1.731370, N, (4) = 1.742984. Assuming M = N, (h) + k,h? + k,h* + k,hs + 0(h®), Find N3 (h). (A) N3 (h) = 1.747180 (B) N3 (h) = 1.746833 (C) N3 (h) = 1.746855 (D) N3 (h) = 1.745218 %3D
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- A researcher is testing the effect of a new cold and flu medication on reaction time. A sample of n = 16 students is obtained and each student is given the normal dose of the medicine. Thirty minutes later, each student's reaction time is measured. The scores for the sample averaged M = 220 milliseconds with SS = 6000. Assuming that reaction time for students in the regular population averages μ = 200 milliseconds, are the data sufficient to conclude that the medication has a significant effect on reaction time? Test at the .05 level of significance. Make a point estimate and a 95% confidence interval estimate for the treated population mean.NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. Step 1 of 2: Suppose a sample of 502 people is drawn. Of these people, 140 passed out at G forces greater than 6. Using the data, estimate the proportion of people who pass out at more than 6 Gs. Enter your answer as a fraction or a decimal number rounded to three decimal places.In a study of tooth paste, 40 children used paste without fluoride resulting in a mean of 5.65 cavities with s1=1.3 . 40 children used paste with fluoride and this sample revealed mean of 4.75 cavities with s2=1.1. Do these results indicate a significant difference between two groups? Perform two-sided test at 2% SL, give all steps of procedure, interpret obtained result in terms of given example.
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- The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. If this scenario was simulated, the random interarrival time variate in minutes calculated from the U(0, 1) random number generator value 0.4258 is closest toWhen I go swimming, the distance in meters that I can swim before getting cramp in one of my hands is exponentially distributed with parameter ?=1/313.3λ=1/313.3. What is the probability that, on a random occasion when I go swimming, I swim at least 593.3593.3 meters without getting hand cramp?Give your solution accurate to 4 decimal places.The germination rate of seeds is defined as the proportion of seeds that, when properly planted and watered, sprout and grow. A certain variety of grass seed usually has a germination rate of 0.80, and a company wants to see if spraying the seeds with a chemical that is known to change germination rates in other species will change the germination rate of this grass species. (a) Suppose the company plans to spray a random sample of 400 seeds and conduct a two-sided test of 0: 0.8Hpusing = 0.05. They determine that the power of this test against the alternative 0.75pis 0.69. Interpret the power of this test.(b) Describe two ways the company can increase the power of the test. What is a disadvantage of each of these ways? (c) The company researchers spray 400 seeds with the chemical and 307 of the seeds germinate. This produces a 95% confidence interval for the proportion of seeds that germinate of (0.726, 0.809). Use this confidence interval to determine whether the test described in…
- J 2 June 2011 Pew Research Center study reported that "On average, Facebook users receive more messages than they send. In the month of our analysis, users received an average of nearly 12 private messages, and sent nine." Q. What seems wrong with this statement? How do you think it should be corrected?Il fail within the first year. of 100 Christmas lights, there is a 0.01 chance that a given bulb will fail bulb fails, it does not affect the others). - large so we use Poisson approximation.The amount of time (in seconds) required for a radioactive particle to decay is an exponentially distributed random variable with parameter λ = 2.58. a) Find the probability that it takes between 1.00 and 2.00 seconds for the particle to decay. b) Find the expected amount of time it takes for the particle to decay.