Bundle: Introduction to Statistics and Data Analysis, 5th + WebAssign Printed Access Card: Peck/Olsen/Devore. 5th Edition, Single-Term
5th Edition
ISBN: 9781305620711
Author: Roxy Peck, Chris Olsen, Jay L. Devore
Publisher: Cengage Learning
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Chapter 16.3, Problem 21E
The given data on phosphorus concentration in topsoil for four different soil treatments appeared in the article “Fertilisers for Lotus and Clover Establishments on a Sequence of Acid Soils on the East Otago Uplands” (New Zealand Journal of Experimental Agriculture [1984]: 119–129).
Use the KW test and a 0.01 significance level to test the null hypothesis of no difference in true mean phosphorus concentration for the four soil treatments.
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Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of
compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the
treatments (cars types). Using the hypothetical data provided below, test whether the mean
pressure applied to the driver's head during a crash test is equal for each types of car. Use
a = 0.05, ssw=6300 and SST=6350.
1) The null and the alternative hypotheses are :
a) Ho: H1 = H2 = Hg.
H: At most one of uj:j = 1,2,3 is different.
H : At least one of u;:j = 1,2,3 is different.
H: At least one of H;:j = 1,2,3 is different.
H: 41 = 42 = Hz.
vs
b) Ho: 41 = H2 = Hg.
Vs
%3D
Vs
d) Ho: At least one of u;:j = 1,2,3 is different.
%3D
VS
2) The F test statistics=
a) 0.0228
b) 0.0218
c) 0.0208
d) 0.0238
3) The critical value =
a) 4.3433
b) 5.5433
c) 5.1433
d) 5.3433
4) The decision of the test is:
a) Do not reject Ho. There is insufficient evidence that at least one of the
population means is different.
b) Reject Hg.…
The yield of alfalfa from a random sample of six test plots is 1.4, 1.6, 0.9, 1.9, 2.2,and 1.2 tons per acre. Assume the data can be looked upon as a sample from anormal population. Test at the 0.05 level of significance whether this supports thecontention that the average yield for this kind of alfalfa is 1.5 tones per acre.
Consider two sets of data, X and Y, with n = 10 observations each. If the mean ranks for X and Y are 6 and 5, respectively, what is the test statistic for the Wilcoxon Signed-Ranks test on these two sets of data?
Chapter 16 Solutions
Bundle: Introduction to Statistics and Data Analysis, 5th + WebAssign Printed Access Card: Peck/Olsen/Devore. 5th Edition, Single-Term
Ch. 16.1 - Urinary fluoride concentration (in parts per...Ch. 16.1 - Prob. 2ECh. 16.1 - Prob. 3ECh. 16.1 - A blood lead level of 70 mg/ml has been commonly...Ch. 16.1 - The effectiveness of antidepressants in treating...Ch. 16.1 - Prob. 6ECh. 16.1 - Prob. 7ECh. 16.2 - The effect of a restricted diet in the treatment...Ch. 16.2 - Peak force (N) on the hand was measured just prior...Ch. 16.2 - In an experiment to study the way in which...
Ch. 16.2 - Prob. 11ECh. 16.2 - Prob. 12ECh. 16.2 - Prob. 13ECh. 16.2 - Prob. 14ECh. 16.2 - Prob. 15ECh. 16.2 - Prob. 16ECh. 16.2 - Prob. 17ECh. 16.2 - The signed-rank test can be adapted for use in...Ch. 16.3 - Prob. 19ECh. 16.3 - Prob. 20ECh. 16.3 - The given data on phosphorus concentration in...Ch. 16.3 - Prob. 22ECh. 16.3 - Prob. 23ECh. 16.3 - The following data on amount of food consumed (g)...Ch. 16.3 - The article Effect of Storage Temperature on the...
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