We observe two groups of random variables:A group: X1, ·..., Xna are NĄ independent random variables with mean ua and variance 10.B group: X1,... , Xng are ng independent random variables with mean uB and variance 40.You are interested in estimating0 = HA - HB.(a)group, and īB, the sample mean of the B group.Come up with an unbiased estimator of 0 using A, the sample mean of the A10 and nB(b)from part (a)?Say nA =10. What is the mean squared error of your estimator||(c)Suppose you can choose from the following options:• NA = 20, nB = 20• NA = 60, nB20||• nA20, nB40Which one would result in the best estimate?

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Answered: We observe two groups of 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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An electronic company's records show that the mean number of circuit.boards rejected per batch is 5.7 with a variance of 1.4. Due to a change in the molding process, factory management has hired you to perform a hypothesis test to check if the variance, o, has increased. To do so, you test a random sample of 10 batches produced using the new process; the number of circuit boards rejected per batch has a sample variance of 2.5. Under the assumption that the number of circuit boards rejected per batch using the new process follows a normal distribution, you will perform a chi-square test. Find x, the value of the test statistic for your chi-square test. Round your answer to three or more decimal places. * = 0
We are running a hypothesis test to see if blood pressure of African zebras differs significantly from Arabian horses. We assume blood pressure in both populations is normally distributed and both populations have the same population variance in blood pressure which is unknown to us, so we use the sample variances to estimate the standard error for our calculations. We have a sample of size 9 for the African zebras and a sample of size 16 for the Arabian horses. How many degrees of freedom does our test statistic have?
The data from an independent-measures research study produce a sample mean difference of 4 points, and each sample has a variance of 10. If there are n = 20 scores in each sample, then what is the estimated standard error of the difference between means?
5. We don't want predictor variables that are too highly correlated with each other or they are redundant (say ≥±.70) or multicollinear (2±.90), which means the variables are measuring pretty much the same thing so why have them all in the equation. What was the finding for redundancy between SPI Scientist and SPI Practitioner? a. No issue with redundancy since the shared variance between the two variables was only 4% (r2 = .04). b. There was an issue with redundancy between the two variables shared 62% of the variance in the relationship.
8 If the analysis of variance F-test leads to the conclusion that at least one of the model parameters is nonzero, can you conclude that the model is the best predictor for the dependent variable y? Can you conclude that all of the terms in the model are important for predicting y? What is the appropriate conclusion?
Suppose that 90% of Narnians are children, that Narnian children have normallydistributed BMIs with a mean of 25 kg/m2and variance of 64 (kg/m2) 2, and that Narnianadults have normally distributed BMIs with a mean of 30 kg/m2and variance of 100(kg/m2)2. WHO currently categorizes BMIs greater than 30 as obese.a. What is the prevalence of obesity among Narnian children?b. What is the prevalence of obesity among Narnian adults?c. What is the overall prevalence of obesity among Narnians?d. Are age and obesity statistically independent in Narnia?e. What proportion of Narnians are obese children?f. What proportion of obese Narnians are children?
A sample with SS=30 and a variance of s2 =10 has n=4 scores. True or False?
A company is doing a hypothesis test on the variation of quality from two suppliers. They believe that one of the suppliers has a different variance than the other supplier and would like to perform a hypothesis test to support their claim. Both distributions are normal, and the populations are independent. use a = 0.01 Ho :012 = 0 2 ² HA:012 =0 2 2 Supplier 1: standard deviation = 2.82, Sample size = 35 Supplier 2: standard deviation = 3.18, Sample size = 18. The test statistic (rounded to 4 decimal places) is = The p-value (rounded to 4 decimal places) is = O Reject the null hypothesis - there is enough evidence is support a meaningful difference in the variance of the suppliers. O Fail to reject the null hypothesis - there is not enough evidence to support a meaningful difference in the variance of the suppliers.

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