2. Let X be the weights of newborn babies in pounds, and denote m to be its median. For a sample of14, we have:5.2 11.8 7.1 14.4 6.3 7.511.1 5.5 9.8 12.7 10.5 10.9 8.7 9.2(a) Give point estimates of 0.25, 0.35, m, π0.75.(b) Find the following confidence intervals and, from Table II in Appendix B, state the associatedconfidence coefficient:i. (X(1), X(5)), a confidence interval for 0.25.ii. (X(3), X(8)), a confidence interval for 0.35.iii. (X(5), X(10)), a confidence interval for 70.5.(c) Now, we would like to test H₁ : m = 8 against H₁ m < 8 at significance level a = 0.05.i. Use the sign test to test the hypothesis.ii. Use the Wilcoxon sign-rank test to test the hypothesis.iii. Use the t-test to test the hypothesis, assuming the underlying distribution is symmetric.

Given data set: {4.2, 5.1, 5.8, 6.3, 6.4, 6.5, 7.1, 7.5, 8.2, 8.7, 9.3, 10.1, 10.3, 11.1}1.…

Answered: 2. Let X be the weights of newborn…

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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In this problem, assume that the distribution of differences is approximately normal. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some situations, this choice of d.f. may increase the P-value by a small amount and therefore produce a slightly more "conservative" answer. In the following data pairs, A represents the cost of living index for utilities and B represents the cost of living index for transportation. The data are paired by metropolitan areas in the United States. A random sample of 46 metropolitan areas gave the following information. Do the data indicate that the U.S. population mean cost of living index for utilities is less than that for transportation in these areas? Use α = 0.05. (Let d = A − B.) (a) What is the level of significance? (b)What is the value of the sample test statistic? (Round your answer to three decimal places.)
Need to show all work such as calculator steps.
4. Find each value requested for the distribution of scores in the following table. а. п b. ΣΧ C. Σχ f 1 4 2 3 3 2 5 1 3 UNG
The distribution of male height (X) in the US is known to be normally distributed with mean of about 70 inches and variance of 25 inches. What is the IQR? (hint: think about what the IQR represents in a boxplot with regard to percentiles). The z tables can be found at the bottom of the written portion of the exam or at the end of Lecture Note 10. a.) 5.0 b.) 9.0 c.) 7.3 d.) 10.0 e.) 6.7
The following data set shows project grades for an elementary statistics class. 20 21 b.) median = 25 11 c.) range= 16 15 d.) standard deviation = 21 13 13 24 18 21 22 26 24 14 Use the data to find each of the following values for this data: (if necessary, round to two decimal places) [BE SURE TO CHECK YOUR DATA IN THE CALCULATOR] a.) mean = 13 18 12 15
If you recieved the data set {9, 16, 10, 20, X} and you knew the median was 15, what could you say about X? O 10 < X < 18 OX = 14 O11 < X < 17 OX = 15 ONone of the above.
Let x be the percentage of 16- to 19-year-olds not in school and not high school graduates. Let y be the reported violent crimes per 1000 residents. Six small cities in Arkansas (Blytheville, El Dorado, Hot Springs, Jonesboro, Rogers, and Russellville) reported the following information about x and y. x 24.2 18.6 17.8 14.9 19.0 17.5 y 13.0 4.6 8.8 1.3 0.8 3.6 Complete parts (a) through (e), given Σx = 112, Σy = 32.1, Σx2 = 2137.7, Σy2 = 282.89, Σxy = 654.37, and r ≈ 0.763. (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r = (c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) x = y = = + x

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