A random sample of 50 plants was selected from a field containing one-year-old plants of avariety of guayule, a plant species yielding rubber. Of the 50, 25 were classified as Normal(N), 14 were classified as Off-type (O) and 11 as Aberrant (A). The data on the followingpage show the percentage rubber content from each plant.NormalOff-typeAberrant6.34 6.405.70 4.845.01 6.204.25 8.906.93 6.38 6.68 7.106.42 7.26 7.29 6.307.01 6-84 7.12 6.837.31 7.25 6.86 6.685.82 4.467.705.905.24 5.586.367.106.81 7.32 6.485.88 5.245.517.00 6.42 6.206.04 5.584.727.42 7-27 6.436-10 6-017.90(a) Test the null hypothesis that there is no difference in mean rubber content between thethree types of plant.(b) If the means of the distributions of each type of plant are denoted by N, PO and PArespectively, test the following particular null hypotheses:(i) EN = RA;(ii) Po=(PN + PA).

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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 an experiment the sorption was measured for a variety of hazardous organic chloroalkane solvents. The sample measurements were; 1.18, 1.35, 0.57, 1.16, 1.12, 0.91, 0.83, 0.43 Assuming that measurements are normally distributed. i. What is the mean of the sample for sorption of chloroalkane solvents. ii. What is the standard error of the mean for the sample of organic chloroalkane solvents? iii. What the margin of error of the 99% confidence intervals for the population mean of sorption of chloroalkane solvents. iv. What is the lower limit for the 99% confidence intervals for the population mean of sorption of chloroalkane solvents.
In 2016, the Honors College at a large state university claimed that the average GPA of its graduating students is 3.80. Later that year, a new service-learning requirement was added to the graduation requirements, despite student claims that this additional requirement would take away from the time devoted to their studies and likely lower their GPAs. Last month, the dean of the Honors College randomly selected 10 graduating students and recorded their GPAs. His recorded data is as follows: 3.85 3.95 4.00 3.61 3.83 3.73 3.69 3.81 3.73 3.78 Using the appropriate six-step non-parametric testing procedure, is there sufficient evidence at the α = 0.05 significance level to conclude that average GPA of graduating students has decreased since the service-learning requirement was added?
A real estate company is interested in testing whether the mean time that families in Gotham have been living in their current homes is less than families in Metropolis. Assume that the two population variances are equal. A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the accompanying data on length of residence in current homes. What is the test statistic for the difference between sample means? Round to the nearest hundredth. Gotham:Xbarg=35 months;S^2g=900 Metropolis:Xm=50 months;S^2m=1050
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sheet metal manufacturer is making 10-gauge eet metal, which is supposed to be 3.416 mm nick. One of the pieces of manufacturing equipment as suspected of malfunctioning and resulting in eet metal that is too thin (less than 3.416 mm). So e manufacturer selected a random sample of 100 ieces of steel.measured the thickness of each iece, and calculated the mean thickness of the ceel pieces in his sample. a. Which of the following is the Null Hypothesis Ho stated in words? Họ: The average steel thickness is different from 3.416 mm. The equipment is not making the sheet metal the correct thickness. | Họ: The average steel thickness is less than 3.416 mm. The equipment is making the sheet metal too thin. | Họ: The average steel thickness is 3.416 mm (or more). The equipment is working properly and not making the sheet metal too thin. Ho: The average steel thickness is greater than 3.416 mm. The equipment is making the sheet metal too thick. b. Which of the following is the Alternative…
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