Please show a step-by-step solution. Please do not skip steps. --Problem #3: Suppose we have two random variables: X~ N(u₁, of) and Y ~ N(u₂, o²). We collect a sample of size m = 9X values and a sample of size n = 7 Y values, giving x = 3.3, st5 and s² = 3. Find a 90%confidence interval for=2.5 andThe confidence interval is of the form (a, b). Enter the values of a and b (in that order) into the answer boxbelow, separated with a comma.Problem #3:

The 90% confidence interval for the ratio of variances is approximately between 0.28 and 4.15, based…

Answered: - - Problem #3: Suppose we have two…

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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A simple random sample of size 200 is taken from a much larger group of male wrestlers prior to a competition. The average weight in the sample is 190 pounds, with an SD of 20 pounds. The average weight of the population is estimated to be 190 pounds, and this estimate is likely to be off by about _______.
Suppose we have two normal populations denoted A and B, and we want to compare their population variances by estimating the ratio: variance of population B divided by variance of population A. We have an independent random sample of size 15 from population A and an independent random sample of size 9 from population B. The sample variance for population B turns out to be 30 percent larger than that for population A. What is the 99 percent confidence interval for the ratio: population variance of population B divided by population variance of population A? Use stattrek.org for finding the needed critical values.
The management of the Seaside Golf Club regularly monitors the golfers on its course for speed of play. Suppose a random sample of golfers was taken in 2005 and another random sample of golfers was selected in 2006. The results of the two samples are as follows: 2005 2006 x1= 225 x2= 219 s1= 20.25 s2= 21.70 n1= 36 n2= 31 Based on the sample results, can the management of the Seaside Golf Course conclude that the average speed of play was different in 2006 than in 2005? Conduct the appropriate hypothesis test at the 0.10 level of significance. Assume that the management of the club is willing to accept the assumption that the populations of playing times for each year are approximately normally distributed.
Question 2 The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution.Test H0 : p1=p2 vs Ha : p1<p2 when the samples have n1=170 with p^1=0.17, and n2=80 with p^2=0.23. The standard error of p^1-p^2 from the randomization distribution is 0.06.Find the value of the standardized z-test statistic.Round your answer to two decimal places.z= Enter your answer in accordance to the question statement
A random sample of n1=17�1=17 securities in Economy A produced mean returns of x̄ 1=5.6% x̄ 1=5.6% with s1=2.3%�1=2.3% while another random sample of n2=20�2=20 securities in Economy B produced mean returns of x̄ 2=4.6% x̄ 2=4.6% with s2=2.3%.�2=2.3%. At α =0.2 α =0.2, can we infer that the returns differ significantly between the two economies? Assume that the samples are independent and randomly selected from normal populations with equal population variances ( σ 12= σ 22)( σ 12= σ 22). T-Distribution Table a. Calculate the test statistic. t=�= Round to three decimal places if necessary b. Determine the critical value(s) for the hypothesis test. + Round to three decimal places if necessary c. Conclude whether to reject the null hypothesis or not based on the test statistic. Reject Fail to Reject
A random sample of nn measurements was selected from a population with unknown mean μμ and standard deviation σσ. Calculate a 90% confidence interval for μ for each of the following situations: (a) n=90, x¯¯¯=27, s=3.92n=90, x¯=27, s=3.92 ≤μ≤ (b) n=75, x¯¯¯=48.1, s=3.72n=75, x¯=48.1, s=3.72 ≤μ≤ (c) n=90, x¯¯¯=67.7, s=4.12n=90, x¯=67.7, s=4.12 ≤μ≤ (d) n=105, x¯¯¯=100.3, s=3.21n=105, x¯=100.3, s=3.21 ≤μ≤
A researcher is wondering whether the drinking habits of adults in a certain region of the country are in the same proportion as the general population of adults. Suppose a recent study stated that the proportion of adults who reported drinking once a week or less in the last month was 0.26. The researcher's null hypothesis for this test is H0: p=0.26 and the alternative hypothesis is Ha: p>0.26. The researcher collected data from a random sample of 75 adults in the region of interest. To continue the study into the drinking habits of adults, the researcher decides to collect data from adults working in "blue collar" jobs to see whether their drinking habits are in the same proportion as the general public. The null hypothesis for this test is H0: p=0.26 and the alternative hypothesis is Ha: p > 0.26. The researcher collected data from a random sample of 90 adults with "blue collar" jobs of which 30 stated that they drank once a week or less in the last month. Assume that…
Suppose the random variables X and Y are inde lent and identically distributed. Let Z =aX +Y. If the correlation coefficient between X and Z is1/3 , then what is the value of the constant a ?

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