Suppose that xi and x2 are random samples of observations from a population with mean m and variances2. Consider the following three point estimators, A.B.C, of m:*1 + x2*1 + 3r2*1 + 2x2C =A =B =23a) Which of these estimators yields an unbiased estimator of m? Justify your answer.b) Of those that are unbiased, which is the most efficient? Justify your answer.

Given Information: Mean of x1 and x2=mvariance of x1 and x2=s2No. of point estimators=03…

Answered: Suppose that xi and x2 are random…

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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A2
A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 52 men and 73 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. (a) State the null and alternative hypotheses. Which of the following is correct? OC. Hgi H1 =H2i H H2 (b) Identify the P-value and state the researcher's conclusion if the level of significance was a = 0.02. What is the P-value? P.value =
Consider the trash bag problem. Suppose that an independent laboratory has tested trash bags and has found that no 30-gallon bags that are currently on the market have a mean breaking strength of 50 pounds or more. On the basis of these results, the producer of the new, improved trash bag feels sure that its 30-gallon bag will be the strongest such bag on the market if the new trash bag's mean breaking strength can be shown to be at least 50 pounds. The mean of the sample of 39 trash bag breaking strengths in Table 1.10 is x = 50.573. If we let u denote the mean of the breaking strengths of all possible trash bags of the new type and assume that o equals 1.61: Using the 95 percent confidence interval, can we be 95 percent confident that u is at least 50 pounds?
which of the following excel functions would you use to answer this question "Is the number if applications accepted for public colleges/universities the same as for private colleges/universities?" Options: 1) t-test: paired two sample for means 2) t-test: two sample assuming equal variances 3) t-test: two sample assumung unequal variances 4) z-test: two sample for means
A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy) was performed. Let x1 be a random variable that represents the score of a mother on an empathy test (as regards her baby). Let x2 be the empathy score of a father. A random sample of 40 mothers gave a sample mean of x1 = 68.36. Another random sample of 36 fathers gave x2 = 57.34. Assume that ?1 = 11.83 and ?2 = 11.72. (a)Let ?1 be the population mean of x1 and let ?2 be the population mean of x2. Find a 99% confidence interval for ?1 – ?2. (Round your answers to two decimal places.) lower limit=__ upper limit=__
Experiment 3: Fifteen female CSCC students and 10 male CSCC students are randomly selected to determine if the mean time studying for females is significantly more than the mean study time for males. It can be assumed that all study times are normally distributed. Are these samples independent or dependent? Find the null and alternative hypothesis. H0: Ha:
Let X denote the sample average for a random sample with mean uu and variance 02. Consider the following estimator for u: W=n+2/n+1°X Is W as consistent estimator of u? a. Yes b. No c. It depends
Solve. Show your OWN work
Suppose a data set from a bike share company contains the number of daily bike rentals at each of 6 stations for the 23 weekdays of a particular month, i.e. we have Yij for i = 1, ..., 23 and j 1,...6. Write down a hierarchical normal model that can be used to estimate the mean number of bike rentals at each station. You can assume that the unknown variance o? of the number of bike rentals is the same for each station.
A transect is an archaeological study area that is 1/5 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 ?2 = 42.3. In a different section of Chaco Canyon, a random sample of 21 transects gave a sample variance s2 = 49.3 for the number of sites per transect. Use a 5% level of significance to test the claim that the variance in the new section is greater than 42.3................

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