Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Chapter 11.1, Problem 21E
Do certain behaviors result in a severe drain on energy resources because a great deal of energy is expended in comparison to energy intake? The article “The Energetic Cost of Courtship and Aggression in a Plethodontid Salamander” (Ecology [1983]: 979–983) reported on one of the few studies concerned with behavior and energy expenditure. The accompanying table gives oxygen consumption (mL/g/hr) for male-female salamander pairs.
a. The pooled t test is a test procedure for testing H0: μ1 – μ2, = hypothesized value when it is reasonable to assume that the two population distributions are normal with equal standard deviations (σ1 = σ2,). The test statistic for the pooled t test is obtained by replacing both s1 and s2 in the two-sample t test statistic with sp where
When the population distributions are normal with equal standard deviations and H0 is true, the resulting pooled t statistic has a t distribution with df = n1 + n2 – 2. For the reported data, the two sample standard deviations are similar. Use the pooled t test with α = 0.05 to determine whether the
b. Would the conclusion in Part (a) have been different if the two-sample t test had been used rather than the pooled t test?
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Compare the two separate scatterplots. In particular, how do the associtation compare between women with pets vs. women without pets? Does one group have more variation in systolic blood pressure than the other? If so, for which group? Does systolic blood pressure seem higher for common ages between the two groups? If so, for which group?
An article reported on a study in which each of 13 workers was provided with both a conventional shovel and a shovel whose blade was perforated with small holes. The authors of the cited article provided the following data on energy expenditure
[kcal/kg(subject)/lb(clay)].
Worker:
2
4
5
6
Conventional: 0.0015 0.0015 0.0018 0.0022 0.001
0.0016 0.0028
Perforated:
0.0015 0.001
0.0019 0.0013 0.0011
0.0017 0.0024
Worker:
10
11
12
13
Conventional: 0.0021 0.0015 0.0014 0.0023 0.0017 0.002
Perforated:
0.0021 0.0013 0.0013 0.0017 0.0015
0.0013
n USE SALT
Do these data provide convincing evidence that the mean energy expenditure using the conventional shovel exceeds that using the perforated shovel? Test the relevant hypotheses using a significance level of 0.05. (Use SALT to calculate the P-value. Use
Hd = Hconventional - Hperforated Round your test statistic to one decimal place and your P-value to three decimal places.)
t=
df =
p-value =
State your conclusion.
O we fail to reject H,. We have…
Chapter 11 Solutions
Introduction To Statistics And Data Analysis
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