3. (Problem 10.41 of Freund's) To show that an estimator can be consistent with-out being unbiased nor asymptotically unbiased, consider the following estimationprocedure. Let X₁,..., Xn be a random sample from a population with mean μand finite variance o2. Consider the following estimation procedure: First, we ran-domly draw one slip of n papers numbered from 1 to n. If we get 2,3,...,n, we-1 nuse X = n ¹₁ as our estimate for u; otherwise, we use n² as the estimate fori=1μ. Show that this estimation procedure is(a) consistent.(b) neither unbiased nor asymptotically unbiased.

From the above given data the following solution is provided below:

Answered: 3. (Problem 10.41 of Freund's) To show…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose I get a test statistic z = 2.34. If I am using a one tailed test, what is my p value? You should not have to round if you are using the table. If you are not, round to four decimal points.
Consider the information above and in question 1. It is conjectured that the mean number of people attending all 2017 Veterans Day celebrations is 145, and of interest is to test this conjecture versus the alternative that the mean number of people attending all 2017 Veterans Day celebrations is different from 145 people To test the hypothesis, a simple random sample of 41 Veterans Day celebrations was selected and the number of people attending each was recorded. The mean number of people attending for this sample of 41 celebrations was 157, with a standard deviation of 23 people. The distribution of the data was bimodal. If appropriate, use this information to test the hypotheses stated in question 3 at the a= .05 level of significance. 4 Are the assumptions met? Yes, because there is a simple random sample Yes, because there is a simple random sample and the population is normally distributed Yes, because there is a simple random sample and the sample size is large enough for the…
Suppose the study described in the previous question was conducted by a colleague. He tells you that based on a chi-square distribution with 2 degrees of freedom, his p-value was 0.11, and he concludes that the proportions are not the same across health status categories. Do you agree with his conclusion? Yes, by rejecting the null hypothesis, it does appear that the proportions are not the same. Yes. He should have not rejected the null hypothesis and concluded that they do not appear to be related. Yes. a p-value > 0.05 always indicates that variables are related regardless of the test conducted
Two researchers conducteda study where the main goal wasto estimate the population meanfor a particular variable. Both researchers obtained a random sample from the population, and both obtained a sample standard deviation of s= 20. Researcher A selected a random sample of n= 100 individuals, whereas Researcher B selected a random sample of n= 64 individuals. Compute and report the standard error of the mean that Researcher A would obtain. Compute and report the standard error of the mean that Researcher B would obtain.
25. Each of a random sample of 30 student nurses who participated in a research project was given a test designed to measure the degree of creative thinking. The standard deviation of the scores was 11. Can one conclude from these data that the population variance is less than 400? Let α = 0. 05 and assume that the population is normally distributed. (A) Yes (B) No
4
5. A quality control engineer found that the inner and outer diameters of their ball bearings, denoted respectively as X and Y, are random variables with E(X|Y = y) = 0.7 – 0.3y inches and Var(X|Y = y) = 0.0004y for all values of y. From his past experience he also knew that the mean and variance of the outer diameters were E(Y) = 0.7 inches, and Var(Y) squared inches. = 0.0001 %3D • (i) What are the conditional random variables, E(X|Y) and Var(X|Y)? • (ii) Find the mean of the inner diameters, E(X). • (ii) Find the variance of the inner diameters, Var(X).
Suppose we are interested in investigating the mean of a normally distributed population. As part of the investigation, we intend to draw a sample of 1400 observations from this population and carry out a test of the null hypothesis Ho : µ =450 against a two-sided alternative hypothesis. Suppose that in reality, the population mean is 450. On average, what will the p-value equal? (Give your numeric response to at least 3 decimal places. Give only your numeric response, and not any extra characters or symbols.) Your Answer: Your Answer
No need for explanation
1. In a random sample of fishes from a pond, the mean tail length was 6.0 mm and the reference tail length for the species was found to be 4.0 mm with a standard deviation of 2.0. if there are 16 fishes, what would be the z score and which hypothesis would be accepted? 2. If the mean for group 1 in a clinical trial for the time for a drug X to act is 10 minutes and 8 minutes for group 2 and if the standard deviation for group 1 is 1.0 and group 2 is 2.0. If there are 4 persons in both groups, what is the t value and which hypothesis would you accept if t critical is 3.14 ( 2 sided) 3. A geneticist is examining the relationship between genotype and phenotype for roses. He calculated a chi-square value of 4.1 for a 2 x 2 table. If the scenario is two sided, which hypothesis did he accept? 4.
Solve question #9 for part D only.
Hello. I need solutions of question 4 and 5. Thanks in advance dor your help.

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