Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type.7.4 7.79.7 8.1 8.76.3 7.811.6 9.07.7 6.8 7.911.3 6.88.7 5.87.3 7.2 7.89.7 7.011.8 7.110.7 6.5 7.06.3(a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion. [Hint: Ex; = 219.7.] (Round your answer to three decimal places.)MPаState which estimator you used.O s/x(b) Calculate a point estimate of the strength value that separates the weakest 50% of all such beams from the strongest 50%.MPаState which estimator you used.s/XO (c) Calculate a point estimate of the population standard deviation o. [Hint: Ex, = 1860.87.] (Round your answer to three decimal places.)MPаInterpret this point estimate.O This estimate describes the bias of the data.This estimate describes the linearity of the data.This estimate describes the spread of the data.This estimate describes the center of the data.Which estimator did you use?s/ x(d) Calculate a point estimate of the proportion of all such beams whose flexural strength exceeds 10 MPa. [Hint: Think of an observation as a "success" if it exceeds 10.] (Round your answer to three decimal places.)(e) Calculate a point estimate of the population coefficient of variation o/u. (Round your answer to four decimal places.)State which estimator you used.O s/x

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Description: Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type.7.4 7.79.7 8.1 8.76.3 7.811.6 9.07.7 6.8 7.911.3 6.88.7 5.87.3 7.2 7.89.7 7.011.8 7.110.7 6.5 7.06.3(a) Calculate a point estimate of the mean value of st

“Since you have posted a question with multiple sub-parts, we will solve first three subparts for you. To get the remaining sub-parts solved, please repost the complete question and mention the sub-parts to be solved.”. Given : ∑i=1nxi=219.7, n=27a) Point estimate of the mean value =∑xin=219.727=8.137 MPa The estimator used is x=∑xin as the estimator of the population mean is the sample mean, x.b) Required point estimate is the median as it separates the strongest 50% from the weakest 50%. Arrange the given data in ascending order. 5.8 6.3 6.3 6.5 6.8 6.8 7.0 7.0 7.1 7.2 7.3 7.4 7.7 7.7 7.8 7.8 7.9 8.1 8.7 8.7 9.0 9.7 9.7 10.7 11.3 11.6 11.8 Point estimate =n+12th observation=27+12th =14th observation=7.7 MPa The estimator used is the sample median i.e. x~ c) Point estimate of the population standard deviation =∑xi2-nx2n-1=1860.87-27×8.137227-1= 2.8146=1.6777 MPa This estimate describes the spread of the data as standard deviation is a measure of the spread and dispersion of the data. The estimator used is s as the estimator of the population standard deviation is the sample standard deviation, s.

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Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 7.4 7.7 9.7 8.1 8.7 6.3 7.8 11.6 9.0 7.7 6.8 7.9 11.3 6.8 8.7 5.8 7.3 7.2 7.8 9.7 7.0 11.8 7.1 10,7 6,5 7.0 6,3 (a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion. [Hint: Ex, = 219.7.] (Round your answer to three decimal places.) MPa State which estimator you used. O s/X O s (b) Calculate a point estimate of the strength value that separates the weakest 50% of all such beams from the strongest 50%. MPa State which estimator you used. O s/X O s

Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 7.4 7.7 9.7 8.1 8.7 6.3 7.8 11.6 9.0 7.7 6.8 7.9 11.3 6.8 8.7 5.8 7.3 7.2 7.8 9.7 7.0 11.8 7.1 10,7 6,5 7.0 6,3 (a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion. [Hint: Ex, = 219.7.] (Round your answer to three decimal places.) MPa State which estimator you used. O s/X O s (b) Calculate a point estimate of the strength value that separates the weakest 50% of all such beams from the strongest 50%. MPa State which estimator you used. O s/X O s

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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Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 8.7 7.2 7.7 6.5 7.8 7.0 11.8 9.7 7.9 8.1 6.3 7.6 7.8 6.0 11.6 7.0 10.7 7.3 6.8 9.0 6.8 7.7 9.7 6.3 8.6 7.4 11.3 (a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in this fashion. [Hint: Ex; = 220.3.] (Round your answer to three decimal places.) MPа State which estimator you used. O s/x (b) Calculate a point estimate of the strength value that separates the weakest 50% of all such beams from the strongest 50%. MPа State which estimator you used. O s/X (c) Calculate a point estimate of the population standard deviation o. [Hint: Ex;² = 1868.85.] (Round your answer to three decimal places.) MPа Interpret this point estimate. This estimate describes the spread of the data. This estimate describes the bias of the data. This estimate describes the center of the data. This estimate describes the linearity of the data.
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A popular theory is that presidential candidates have an advantage if they are taller than their main opponents. Listed are heights (in centimeters) of randomly selected presidents along with the heights of their main opponents. Complete parts (a) and (b) below. Height (cm) of President 185 170 179 191 194 179 9 Height (cm) of Main Opponent 170 184 174 166 194 182 Identify the test statistic. t= 0.57 (Round to two decimal places as needed.) Identify the P-value P-value = 0.286 (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? Since the P-value is greater than the significance level, fail to reject the null hypothesis. There is not sufficient evidence to support the claim that presidents tend to be taller than their opponents. b. Construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)? The confidence interval…
Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type. 5.5 7.2 7.3 6.3 8.1 6.8 7.0 7.1 6.8 6.5 7.0 6.3 7.9 9.0 8.9 8.7 7.8 9.7 7.4 7.7 9.7 7.9 7.7 11.6 11.3 11.8 10.7 The data below give accompanying strength observations for cylinders. 6.5 5.8 7.8 7.1 7.2 9.2 6.6 8.3 7.0 8.4 7.1 8.1 7.4 8.5 8.9 9.8 9.7 14.1 12.6 11.5 Prior to obtaining data, denote the beam strengths by X,, . Xm and the cylinder strengths by Y,, . Y. Suppose that the X,'s constitute a random sample from a distribution with mean u, and standard deviation o, and that the Y's form a random sample (independent of the X's) from another distribution with mean H2 and standard deviation (a) Use rules of expected value to show that X – Y is an unbiased estimator of µ, - µ. E(X – Y) E(X) – E(Y) = H1 - H2 nm E(X - Y) (E) – E(Y)* = l1 - 42 E(X - Y) = nm( E(X) – E(Yn) = H1 - H2 E(X – Y) E(X - Y) = V E(X) – E(Y) = µ1 – H2 E(X) – E(Y) = µ1 - 42 Calculate the estimate for the given data.…
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