Two machines are used to package laundry detergent. It is known that weights of boxes arenormally distributed. Four boxes from each machine have their contents carefully weighed,with the following results (in grams):Machine 1:1752 1757 1751 1754Machine 2:1756 1750 1752 1746An engineer wishes to test the null hypothesis that the mean weights of boxes from the twomachines are equal. He decides to assume that the population variances are equal, reasoningas follows:The sample variances are s = 7.0) for machine 1 and sfor testing for equality of population variances is F3 = s Is = 2.48. The upper 10% point of theF33 distribution is 5.39. Since the null hypothesis specifies that the variances are equal, I determinethat the P-value is greater than 2(0.10) = 0.20. Therefore I do not reject the null hypothesis, and Iconclude that the variances are equal.= 17.33 for machine 2. The F statisticHas the F test been done correctly?b. Is the conclusion justified? Explain.a.

Answered: Image /qna-images/answer/cccc59e0-afca-4f1c-ae44-eba511dc9471.jpg

Answered: Two machines are used to package…

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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3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…
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Rothamsted Experimental Station (England) has studied wheat production since 1852. Each year, many small plots of equal size but different soil/fertilizer conditions are planted with wheat. At the end of the growing season, the yield (in pounds) of the wheat on the plot is measured. For a random sample of years, one plot gave the following annual wheat production (in pounds). 3.93 4.02 3.78 3.84 4.23 3.79 4.09 4.42 3.89 3.87 4.12 3.09 4.86 2.90 5.01 3.39 Use a calculator to verify that, for this plot, the sample variance is s2 ≈ 0.302.Another random sample of years for a second plot gave the following annual wheat production (in pounds). 4.00 3.61 3.70 3.85 3.94 3.72 4.13 4.01 3.59 4.29 3.78 3.19 3.84 3.91 3.66 4.35 Use a calculator to verify that the sample variance for this plot is s2 ≈ 0.082.Test the claim that the population variance of annual wheat production for the first plot is larger than that for the second plot. Use a 1% level of significance. (a) What is…
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3. Can SAT scores predict college performance? Let x be a variable that represents SAT score of a computer science major, and let y be a variable that represents a student’s GPA upon graduation. A random sample of n =15 computer science majors provided their SAT scores and GPAs: x 1232 1070 1086 1287 1130 1048 1121 1095 1135 1208 1333 1160 1186 1243 1261 y 3.52 2.91 2.4 3.47 3.47 2.37 2.4 2.24 3.02 3.32 3.59 2.54 3.19 3.71 3.58 The scatter diagram for the SAT score and GPA is given below: (a) Find the sample correlation coefficient r. Truncate to two decimal places. What does the value tell you about the data? (b) Find the equation of the least squares line . Truncate to four decimal places. What does the slope mean? (c) Find the value of the coefficient of determination . Truncate to two decimal places. What does this number mean? (d) What is the predicted GPA if a computer science major got a…
Please do 3 and 4.
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