Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305115347
Author: Roxy Peck; Chris Olsen; Jay L. Devore
Publisher: Brooks Cole
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Chapter 15.2, Problem 15E
To determine
Find the Tukey-Kramer interval, which is consistent with the author’s conclusions among the given 3 sets.
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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.…
1) A series of experiments were conducted to determine the effect of air voids on
percentage retained strength of asphalt. For purposes of the experiment, air voids are
controlled at three levels; low (1-3%), medium (4-6%), and high (7-9%). The data are
shown in Table 1. Do the different levels of air voids significantly affect mean retained
strength? Use a = 0.05.
Table 1: Results of the air voids effect on percentage retained strength of asphalt
Air Voids
Low
Medium
High
106
80
78
90
69
80
Retained Strength (%)
103
94
62
90
91
69
79
70
76
88
83
85
92
87
69
95
83
85
To determine whether a new sleeping pill has an affect that varies with dosage, a researcher randomly assigns adult insomniacs, in equal numbers, to receive either 4 or 8 grams of the sleeping pill. The amount of sleeping time is measured for each subject during an 8-hour period after the administration of the dosage. What type of design is this, and what type of statistic is needed to analyze the data (consider ABAB studies)?
Chapter 15 Solutions
Introduction to Statistics and Data Analysis
Ch. 15.1 - Give as much information as you can about the...Ch. 15.1 - Prob. 2ECh. 15.1 - Employees of a state university system can choose...Ch. 15.1 - The accompanying summary statistics for a measure...Ch. 15.1 - The authors of the paper Age and Violent Content...Ch. 15.1 - The paper referenced in the previous exercise also...Ch. 15.1 - The Paper Womens and Mens Eating Behavior...Ch. 15.1 - Can use of an online plagiarism-detection system...Ch. 15.1 - The experiment described in Example 15.4 also gave...Ch. 15.1 - Prob. 10E
Ch. 15.1 - Prob. 11ECh. 15.1 - Prob. 12ECh. 15.1 - In an experiment to investigate the performance of...Ch. 15.2 - Leaf surface area is an important variable in...Ch. 15.2 - Prob. 15ECh. 15.2 - Prob. 16ECh. 15.2 - Prob. 17ECh. 15.2 - The paper referenced in Exercise 15.5 described an...Ch. 15.2 - Prob. 19ECh. 15.2 - The accompanying data resulted from a flammability...Ch. 15.2 - Do lizards play a role in spreading plant seeds?...Ch. 15.2 - Samples of six different brands of diet or...Ch. 15.3 - A particular county employs three assessors who...Ch. 15.3 - The accompanying display is a partially completed...Ch. 15.3 - With the use of biofuels increasing, investigators...Ch. 15.3 - Prob. 26ECh. 15.3 - Prob. 27ECh. 15.3 - Prob. 28ECh. 15.4 - Prob. 29ECh. 15.4 - The paper Feedback Enhances the Positive Effects...Ch. 15.4 - The following graphs appear in the paper Which...Ch. 15.4 - The behavior of undergraduate students when...Ch. 15.4 - Prob. 33ECh. 15.4 - The following partially completed ANOVA table...Ch. 15.4 - Prob. 35ECh. 15.4 - Prob. 36ECh. 15.4 - Prob. 37ECh. 15 - Suppose that a random sample or size n = 5 was...Ch. 15 - Parents are frequently concerned when their child...Ch. 15 - Prob. 40CRCh. 15 - Consider the accompanying data on plant growth...Ch. 15 - Prob. 42CRCh. 15 - Prob. 43CRCh. 15 - Prob. 44CRCh. 15 - Prob. 45CRCh. 15 - Prob. 46CRCh. 15 - Prob. 47CRCh. 15 - Prob. 48CRCh. 15 - Prob. 49CR
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