rdewdfawdwadawdgrtgsefse Find a basis for and the dimension of the subspace W of R4.W = {(5t, –2t, t, t): t is a real number}(a) a basis for the subspace W of R4(b) the dimension of the subspace W of R4Submit Answer

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Answered: Find a basis for and the dimension of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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We are interested in looking at the effect of a baseball player’s free agent status on their salary. We look at 337 baseball players and categorize them as either having a high salary (above 2 million) or not, and as either being free agents or not. ------------------------------------- You also wonder if having a high batting average affects the salary of baseball players. You classify all 370 baseball players as having a high batting average if it is over .300. 1. What are the variables you are looking at? What are the possible categories within each variable? Which is the explanatory, and which is the response? 2. If we want to perform a χ2 test to see if there is a relationship between the two variables, what is our null and alternative hypothesis?
A researcher is interested in the affects that a person’s avatar (i.e. visual representation of oneself) has on the number of profile views on Facebook.com. The average number of individual personal profile views is known to be 230 views per day (excluding bands, artists, etc.). The researcher creates 36 fictitious profiles that contain roughly the same information but the picture (avatar) is an animated .gif of a smiling face (36 faces randomly selected from a compilation of faces judged to be of average attractiveness). The results showed that of the 36 profiles the average number of views was 250 with a standard deviation of 60. Test the hypothesis that the average number of views for a smiling face gif is significantly different than the usual number of personal profile views.
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Nine data encounters are to be assigned to three jobs requiring 2, 3, and 4 encoders, respectively. How many ways can the nine encoders be assigned to the three jobs?
A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chessboard. On the second square, the King would place two grains of wheat, on the third square, four grains of wheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remaining squares, how many grains of wheat should be placed on a square 16? Also, find the total number of grains of wheat on the board at this time and their total weight in pounds. (Assume that each grain of wheat weighs 1/7000 pounds.)
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We are interested in looking at the effect of a baseball player’s free agent status on their salary. We look at 337 baseball players and categorize them as either having a high salary (above 2 million) or not, and as either being free agents or not. ------------------------------ You also wonder if having a high batting average affects the salary of baseball players. You classify all 370 baseball players as having a high batting average if it is over .300. 1. The given χ2test table gives many test statistics. The row we want to look at is labeled Pearson Chi-Square. Give the test statistic, the degrees of freedom, and the p-value. 2. At a significance level of .05, what can you conclude in the context of this problem?

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Find a basis for and the dimension of the subspace W of R4. W = {(5t, –2t, t, t): t is a real number} (a) a basis for the subspace W of R4 (b) the dimension of the subspace W of R4 Submit Answer