Mathematical Statistics with Applications
Mathematical Statistics with Applications
7th Edition
ISBN: 9780495110811
Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer
Publisher: Cengage Learning
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Chapter 12, Problem 33SE
To determine

Explain the reason that the variance for the completely randomized design is usually larger.

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Suppose that you are given two random variables x and y and you take measurements and obtain x1 = 2.3%, x2 = −7.6%, x3 = 0.1% and y1 = 60, y2 = 120, y3 = 80. Find the line of best fit y = α + βx. Calculate the correlation coefficient r and perform a left-tailed hypothesis test for r with significance level 10%. Based on this test, should we use this line to find the value of y when x = .5%?x               y          x2     y2     xy 2.3%       60 -             120 7.6%      0.1%       80
A pharmaceutical company has developed a drug that is expected to reduce hunger. Totest the drug, three samples of rats are selected with n = 9 in each sample. The first sample receives the drug every day. The second sample is given the drug once a week, and the third sample receives no drug at all (the control group). The dependent variables is the amount of food eaten by each rat over a 1-month period. These data are analyzed by an ANOVA, and the results are reported in the following summary table. Fill in all missing values in the table. (Hint: Slart with the df column.) s.s. df. M.S. F Between 3.65 Within 3.12 TOTAL Use the =FDIST() function in Excel to locate the pvalue for this ANOVA: pvalue - Report p-value accurate to at least 6 decimal places. If you use a significance level of a = .05, what would you conclude about these treatments? OThere is a significant difference between treatments OThese data do not provide evidence of a difference between the treatmenES
Two-Fa 23. The following data are from an experiment comparing three different treatment conditions: A 1 N = 15 2 5 ΣΧΧ-354 1 6. 9. 8 8 T = 10 T = 20 T = 30 SS = 14 SS = 30 SS = 30 %3D a. If the experiment uses an independent-measures design, can the researcher conclude that the treatments are significantly different? Test at the .05 level of significance. b. If the experiment is done with a repeated-measures design, should the researcher conclude that the treatments are significantly different? Set alpha at .05 again. c. Explain why the analyses in parts a and b lead to different conclusions. 24. The following data are from a repeated-measures study comparing two treatment conditions.
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