In a study to estimate the proportion of residents in a city that support the construction of a new bypass road in the vicinity, a random sample of 900 residents were polled. Let X denote the number in the sample who supported the X+√900/2 proposal. To estimate the true proportion in support of the plan, we can compute p = 900 . The estimator p has bias O A. 1/(2 x 30). OB. 30/2. O C. 1/30. O D. 1/900. O E. 0, so unbiased.
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.Persons having Raynaud's syndrome are apt to suffer a sudden impairment of blood circulation in fingers and toes. In an experiment to study the extent of this impairment, each subject immersed a forefinger in water and the resulting heat output (cal/cm2/min) was measured. For m = 9 subjects with the syndrome, the average heat output was x = 0.61, and for n = 9 nonsufferers, the average output was 2.09. Let ?1 and ?2 denote the true average heat outputs for the sufferers and nonsufferers, respectively. Assume that the two distributions of heat output are normal with ?1 = 0.3 and ?2 = 0.5. (a) Consider testing H0: ?1 − ?2 = −1.0 versus Ha: ?1 − ?2 < −1.0 at level 0.01. Describe in words what Ha says, and then carry out the test. Ha says that the average heat output for sufferers is the same as that of non-sufferers.Ha says that the average heat output for sufferers is less than 1 cal/cm2/min below that of non-sufferers. Ha says that the average heat output for sufferers is more…Given two estimators X1 and X2 for a population mean, E[X1] = 6, V[X1] = 4, and V[X2] = 5. If the true value of the population mean is 5, which of the following is(are) TRUE? A. X1 is an unbiased estimator.B. X2 is less precise than X1.
- In a clinical trial, 22 out of 857 patients taking a prescription drug daily complained of flulike symptoms. Suppose that it is known that 2.3%of patients taking competing drugs complain of flulike symptoms. Is there sufficient evidence to conclude that more than 2.3%of this drug's users experience flulike symptoms as a side effect at the alpha equals 0.05α=0.05 level of significance? Because np 0 left parenthesis 1 minus p 0 right parenthesisnp01−p0equals=nothing ▼ greater than> less than< not equals≠ equals= 10, the sample size is ▼ less thanless than greater thangreater than 5% of the population size, and the sample ▼ can be reasonably assumed to be random, is given to not be random, cannot be reasonably assumed to be random, is given to be random, the requirements for testing the hypothesis ▼ are are not satisfied. (Round to one decimal place as needed.)A hypothesis test produces a t statistic of t = +2.19. If the researcher is conducting a two-tailed hypothesis test with α = .05, how large does the sample have to be in order to reject the null hypothesis?Persons having Raynaud's syndrome are apt to suffer a sudden impairment of blood circulation in fingers and toes. In an experiment to study the extent of this impairment, each subject immersed a forefinger in water and the resulting heat output (cal/cm2/min) was measured. For m = 9 subjects with the syndrome, the average heat output was x = 0.65, and for n = 9 nonsufferers, the average output was 2.03. Let μ1 and μ2 denote the true average heat outputs for the sufferers and nonsufferers, respectively. Assume that the two distributions of heat output are normal wit
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- Suppose that a researcher is interested in the average standardized test score for fifth graders in a local school district. The fifth graders at a specific school would comprise a ___________ and their average test score would be a ___________.If X1, X2, ... , Xn constitute a random sample of size n from an exponential population, show that X is a consis-tent estimator of the parameter θ.Let X1, . . . , Xn ∼ iid Unif(θ1, θ2), where both θ1 and θ2 are unknown. Find the MOM estimator and compare them to the MLE.