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%
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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
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24. The following data are from a repeated-measures
study comparing two treatment conditions.
Chapter 12 Solutions
Mathematical Statistics with Applications
Ch. 12.2 - Suppose that you wish to compare the means for two...Ch. 12.2 - Refer to Exercise 12.1. Suppose that you allocate...Ch. 12.2 - Suppose, as in Exercise 12.1, that two populations...Ch. 12.2 - Refer to Exercise 12.3. How many observations are...Ch. 12.2 - Suppose that we wish to study the effect of the...Ch. 12.2 - Refer to Exercise 12.5. Consider two methods for...Ch. 12.2 - Refer to Exercise 12.5. Why might it be advisable...Ch. 12.2 - The standard error of the estimator 1 in a simple...Ch. 12.3 - Consider the data analyzed in Examples 12.2 and...Ch. 12.3 - Two computers often are compared by running a...
Ch. 12.3 - When Y1i, for i = 1, 2,, n, and Y2i, for i = 1,...Ch. 12.3 - Prob. 12ECh. 12.3 - Prob. 13ECh. 12.3 - Prob. 14ECh. 12.3 - A plant manager, in deciding whether to purchase a...Ch. 12.3 - Muck is the rich, highly organic type of soil that...Ch. 12.3 - Prob. 17ECh. 12.4 - Prob. 18ECh. 12.4 - Prob. 19ECh. 12.4 - Prob. 20ECh. 12.4 - Prob. 21ECh. 12.4 - Prob. 22ECh. 12.4 - Prob. 23ECh. 12.4 - Prob. 24ECh. 12.4 - Prob. 25ECh. 12.4 - Prob. 26ECh. 12.4 - Complete the assignment of treatments for the...Ch. 12 - Prob. 28SECh. 12 - Prob. 29SECh. 12 - Prob. 30SECh. 12 - Prob. 31SECh. 12 - Prob. 32SECh. 12 - Prob. 33SECh. 12 - Prob. 34SECh. 12 - The earths temperature affects seed germination,...Ch. 12 - An experiment was conducted to compare mean...Ch. 12 - Prob. 37SE
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