Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type.8.1 6.3 11.3 6.8 6.8 7.3 10.79.7 7.4 6.3 7.0 7.2 9.0 11.69.7 7.9 7.8 6.5 5.2 7.7 7.78.8 11.88.7 7.0 7.5 8.1(a) Calculate a point estimate of the mean value of strength for the conceptual population of all beams manufactured in thisfashion. [Hint: Ex, = 219.9.] (Round your answer to three decimal places.)8.144MPa(c) Calculate a point estimate of the population standard deviation o. [Hint: Ex2 = 1866.63.] (Round your answer to threedecimal places.)1.706MPa(e) Calculate a point estimate of the population coefficient of variation o/μ. (Round your answer to four decimal places.)20.9479X

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Given the following sample statistics X(bar) = 20, Y(bar) = 200 , S X =100,S Y =60,R XY =0.4,n=50 the slope of the regression line is A) 0.67 B)0.24 C)0.42 D) 2.4
1. In a certain type of metal test specimen, the normal stress on a specimen is known to be functionally related to the shear resistance. The following data is a set of coded experimental data on the two variables: Normal stress Shear stress 26.8 26.5 25.4 27.3 28.9 24.2 23.6 27.1 27.7 23.6 23.9 25.9 24.7 26.3 2 26.9 21.7 27.4 21.4 22.6 25.8 25.6 24.9 a. Validate the claim that the shear stress is influenced by the normal stress by testing the linear correlation of the two variables. b. If there is a linear correlation, based on your computation in letter (a), construct a simple linear regression model. Otherwise, disregard this question and the next question. c. Estimate the shear resistance when the normal stress is 25.0
pls only answer b-c i am having a hard time understanding those and would like to learn esspecially with plotting residuals. pls use ms excel and thank u
Test for Normality 1. When do we use and what are the assumptions of Skewness and Kurtosis? 2. What are the Advantage/s of Skewness and Kurtosis? 3. What are the Disadvantage/s of Skewness and Kurtosis? 4. What is/are interpretations of Skewness and Kurtosis? Thank you very much.
Q.1 Q.1 Two samples A and B were taken from a large concrete mix and tested for the compressive strength of concrete (in MPa), find the mean, median and mode of cach of the two samples. The results of tested specimens from each sample were as follows: 国 Compressive Strength 15 18 21 24 27 30 (MPa) Sample A Frequency 2 2 4 1 Sample B Frequency 3 2 2 1 Option 1 13
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5. Determine the value needed to reject the null hypothesis. Remember to calculate the correct degrees of freedom before finding the critical t-value! Note whether it is best to use the one-tailed or two-tailed test. 6. Compare the obtained and critical value 7. Decide whether you will retain the null hypothesis or ... Decide whether you will reject the null hypothesis 8. Finally, write up your results as you would see it in a results section of an empirical 9. group research Make sure to include the means and SDs for smashed into and hit рaper. (in miles). I do NOT need to see the effect size (Cohen's D) 10. Was your obtained t-value positive or negative? Would it matter either way? With your discussion tell my why a positive or negative value is not important when it comes group, obtained value to your 11. What is more appropriate to use for your data set: the one-tailed t-Test or the two-tailed t- Test. Why? 12. Why would it be easier to find significance using a p value of .05 than…
The following table represents the data collected for tree volume (in cm³ ) and diameter-at- breast height (in cm) for sugar maple trees. Tree volume can be predicted by using Dbh. 197 175 | Tree volume (cm ³ 159 Dbh (cm) 163 159 188 170 22.0 25.2 19.8 30.2 22.8 25.8 26.4 The summaries of the data are as follows: Σχ-172.2 ΣΥ- 1211 ΣΧΥ-29995.6 Σχ4305.56 ΣΥ= 210809 (i) Calculate the rank correlation coefficient and comment on your finding. (ii) Find the least squares regression line of Y = a + bX. Hence interpret the value of the regression coefficient "b". Estimate the tree volume when the dbh is 50 cm. Comment on the reliability of the estimate. (iii)
The following data pertain to x, the amount of fertil-izer (in pounds) that a farmer applies to his soil, and y, his yield of wheat (in bushels per acre): xy xy xy112 33 88 24 37 2792 28 44 17 23 972 38 132 36 77 3266 17 23 14 142 38112 35 57 25 37 1388 31 111 40 127 2342 8 69 29 88 31126 37 19 12 48 3772 32 103 27 61 2552 20 141 40 71 1428 17 77 26 113 26 Assuming that the data can be looked upon as a randomsample from a bivariate normal population, calculate rand test its significance at the 0.01 level of significance.Also, draw a scattergram of these paired data and judgewhether the assumption seems reasonable.
In the following table, price of a used car is given in terms of the percentage of the car's original price. Want to estimate price of a used car based on its mileage and age. Find the best linear fit to minimize the 2-norm of the approximation error. Age Mileage Percent of Original Price 1 5000 90 2 10000 85 2 15000 80 3 15000 75 34 20000 75 20000 70 4 30000 65 55 30000 60 40000 50
In a certain type of metal test specimen, the normal stress on a specimen is known to be functionally related to the shear resistance. The following is a set of coded experimental data on the two variables: Normal Stress, x Shear Resistance, y 26.8 25.4 28.9 23.6 27.7 23.9 24.7 28.1 26.9 27.4 22.6 25.6 26.5 27.3 24.2 27.1 23.6 25.9 26.3 22.5 21.7 21.4 25.8 24.9 Estimate the B1.
Show necessary calculation/justification for each answer. a) In regression analysis, the residuals represent the:a. difference between the actual y values and their predicted values.b. difference between the actual x values and their predicted values.c. square root of the slope of the regression line.d. change in y per unit change in x. b) The least squares method for determining the best fit minimizes:a. total variation in the dependent variableb. sum of squares for errorc. sum of squares for regressiond. All of these choices are true. c) The regression line has been fitted to the data points (4, 8), (2, 5), and (1, 2).The sum of the squared residuals will be:a. 7b. 15c. 8d. 22

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