Mathematical Statistics with Applications
7th Edition
ISBN: 9780495110811
Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer
Publisher: Cengage Learning
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Chapter 12.4, Problem 26E
To determine
Explain about the advantages that might be derived by applying doses A, B, C, and D to a slice of tissues from the heart of each rat.
Find the principal of design that can be illustrated by this example.
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A company that produces cranberries knows that about 7% of its cranberries are bruised in the baggin process. They changed
their bagging method, and they were curious if the proportion of cranberries bruised was different. They tested
They tested Ho: p = 0.07 versus Ha: p>0.07 where p is the proportion of cranberries bruised. From a random sample of 600
cranberries they found that 60 were bruised. Those results yielded a test statistic of approximately z = 2.88 and a p-value of
0.004. Assume that the conditions for inference were met.
Is there sufficient evidence at the a = 0.01 level to conclude that the proportion of cranberries bruised is different than 7%
a
Yes, because 10% > 7%
Yes, because 0.004 7%
ООООО
Many young men in North America and Europe (but not in Asia) tend to think they need more muscle to be attractive. One
study presented 200 young American men with 100 images of men with various levels of muscle. Researchers measure level
of muscle in kilograms per square meter (kg/m2) of fat-free body mass. Typical young men have about 20 kg/m2. Each
subject chose two images, one that represented his own level of body muscle and one that he thought represented "what
21
women prefer." The mean gap between self-image and "what women prefer" was 2.35 kg/m2.
99
Suppose that the "muscle gap" in the population of all young men has a Normal distribution with standard deviation
2.5 kg/m2. Give a 90% confidence interval for the mean amount of muscle young men think they should add to be attractive
to women. (Enter your answers rounded to four decimal places.)
lower limit
17.4125
kg/m2
upper limit =
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Question Source: Moore, The Basic Practice Of Statistics, 8e
Publisher: W.H. Free
An educational psychalogist is examining response times to an on-screen stimulus. The researcher believes there might be a weak effect from age, but expecis a more pronounced
effect for different color contrasis. She decides to examine a black on white (B/W) combination compared to 2 alternatives: red on white (R/W) and yellow on blue (Y/B). Here is the
data for response times (in milliseconds):
Color Scheme
B/W
R/W
Y/B
44
22
19
21
21
28
24
35
16-17
21
45
24
26
33
23
24
24
37
16
46
32
Age 18-19
36
13
19
11
15
19
20-21
19
27
Using MS Excel, conduct a 2-wày NOVA with a= 0.05. Fill in the summary table: Pvalues should be accurate to 4 decimal places and all other values accurate to 3 decimal places.
Source
df
MS
Fratio
Pvalue
Partial
Age (A)
Color (B)
Interaction (A x B)
2
2
4
Crror
63
Provide the conclusions for this 2-way ANOVA.
What is the conclusion regarding the main eflect for age (A or rows):
OThere appears to be an effect due to age.
O There is not enaugh evidence to reject the…
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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