Mathematical Statistics with Applications
7th Edition
ISBN: 9780495110811
Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer
Publisher: Cengage Learning
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Question
Chapter 13.9, Problem 45E
a.
To determine
Conduct an ANOVA and check whether there is sufficient evidence to indicate a difference in the mean growth for the three soil preparations.
b.
To determine
Check whether there is sufficient evidence to indicate a difference in the mean growth for the four locations.
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A market research group wants to find out which of two brands of shoes causes
blisters more often. They are considering three methods of gathering data:
Method A: Randomly choose 100 people. Ask them what shoes they typically wear
and how often they tend to get blisters.
Method B: Randomly choose 50 people to wear one brand of shoes and another 50
to wear the other brand. Compare the number of blisters that each group gets over
the course of a month.
Method C: Find a group of 50 people that own the first brand of shoes, and another
50 people that own the second brand. Monitor how many blisters each group gets.
Tell whether each method of gathering data is a survey, an observational study, or an
experiment. Which option would give the most reliable results?
The yields of a genetically modified wheat (in bushels per acre) were compared for five different
varieties, A, B, C, D, and E, at six different locations. Each variety was randomly assigned to a plot at each
location. The results of the experiment are shown below. Analyze the experiment using appropriate
method.
Location
1
2
VARIETY
35.3
31.0
32.7
36.8
37.2
33.1
30.7
32.2
32.4
31.7
35.0
32.7
C
38.2
33.4
33.6
37.1
37.3
38.2
D
34.9
36.1
35.2
38.3
40.2
36.0
32.4
28.9
29.2
30.7
33.9
32.1
45.) What is the value of MSTr?
B.) 13.72
a.) 12.69
C.) 13.63
D.)35.67
46.) What is the degree of freedom of treatment?
a.) 29
b.) 5
c.) 20
d.) 4
47.) The following are true about alternative hypothesis, except:
a.) A hypothesis that the investigator is trying to reject
b.) Investigator's hypothesis
c.) There is a true relationship between variable
d.) A hypothesis that the investigator is trying to prove
48.) Wilcoxon rank-sum test deals with related variable. True or false?
The chemical benzene is highly toxic to humans. However, it is used in the
manufacture of many medicine dyes, leather, and coverings. Government
regulations dictate that for any production process involving benzene, the
water in the output of the process must not exceed 7,950 parts per million
(ppm) of benzene. For a particular process of concern, the water sample
was collected by a manufacturer 25 times randomly and the sample
average x was 7960 ppm. It is known from historical data that the standard
deviation o is 100 ppm.
(a) What is the probability that the sample average in this experiment would
exceed the government limit if the population mean is equal to the limit?
(b) Is an observed x = 7960 in this experiment a firm evidence that the
population mean for the process exceeds the government limit? Assume
that the distribution of benzene concentration is normal.
Chapter 13 Solutions
Mathematical Statistics with Applications
Ch. 13.2 - The reaction times for two different stimuli in a...Ch. 13.2 - Prob. 2ECh. 13.4 - State the assumptions underlying the ANOVA of a...Ch. 13.4 - Prob. 4ECh. 13.4 - Prob. 5ECh. 13.4 - Suppose that independent samples of sizes n1, n2,,...Ch. 13.4 - Four chemical plants, producing the same products...Ch. 13.4 - Prob. 8ECh. 13.4 - Prob. 9ECh. 13.4 - A clinical psychologist wished to compare three...
Ch. 13.4 - It is believed that women in the postmenopausal...Ch. 13.4 - If vegetables intended for human consumption...Ch. 13.4 - One portion of the research described in a paper...Ch. 13.4 - The Florida Game and Fish Commission desires to...Ch. 13.4 - Prob. 15ECh. 13.4 - An experiment was conducted to examine the effect...Ch. 13.5 - Prob. 17ECh. 13.5 - Refer to Exercise 13.17 and consider YiYi for i ...Ch. 13.5 - Refer to the statistical model for the one-way...Ch. 13.7 - Refer to Examples 13.2 and 13.3. a Use the portion...Ch. 13.7 - Refer to Examples 13.2 and 13.4. a Use the portion...Ch. 13.7 - a Based on your answers to Exercises 13.20 and...Ch. 13.7 - Refer to Exercise 13.7. a Construct a 95%...Ch. 13.7 - Prob. 24ECh. 13.7 - Prob. 25ECh. 13.7 - Prob. 26ECh. 13.7 - Prob. 27ECh. 13.7 - Prob. 28ECh. 13.7 - Prob. 29ECh. 13.7 - Prob. 30ECh. 13.7 - Prob. 31ECh. 13.7 - Prob. 32ECh. 13.7 - Prob. 33ECh. 13.7 - Prob. 34ECh. 13.7 - Prob. 35ECh. 13.8 - Prob. 36ECh. 13.8 - Prob. 37ECh. 13.8 - Prob. 38ECh. 13.8 - Prob. 39ECh. 13.8 - Prob. 40ECh. 13.9 - Prob. 41ECh. 13.9 - The accompanying table presents data on yields...Ch. 13.9 - Refer to Exercise 13.42. Why was a randomized...Ch. 13.9 - Prob. 44ECh. 13.9 - Prob. 45ECh. 13.9 - Prob. 46ECh. 13.9 - Prob. 47ECh. 13.9 - Prob. 48ECh. 13.9 - Prob. 49ECh. 13.9 - Prob. 50ECh. 13.9 - Prob. 51ECh. 13.10 - Prob. 52ECh. 13.10 - Prob. 53ECh. 13.10 - Prob. 54ECh. 13.10 - Refer to Exercise 13.46. Construct a 95%...Ch. 13.10 - Prob. 56ECh. 13.10 - Prob. 57ECh. 13.11 - Prob. 58ECh. 13.11 - Prob. 59ECh. 13.11 - Prob. 60ECh. 13.11 - Prob. 61ECh. 13.11 - Prob. 62ECh. 13.12 - Prob. 63ECh. 13.12 - Prob. 64ECh. 13.12 - Prob. 65ECh. 13.12 - Prob. 66ECh. 13.12 - Prob. 67ECh. 13.12 - Prob. 68ECh. 13.13 - Prob. 69ECh. 13.13 - Prob. 70ECh. 13.13 - Refer to Exercise 13.42. Answer part (a) by...Ch. 13.13 - Refer to Exercise 13.45. Answer part (b) by...Ch. 13 - Prob. 73SECh. 13 - Prob. 74SECh. 13 - Prob. 75SECh. 13 - Prob. 77SECh. 13 - A study was initiated to investigate the effect of...Ch. 13 - Prob. 79SECh. 13 - A dealer has in stock three cars (models A, B, and...Ch. 13 - In the hope of attracting more riders, a city...Ch. 13 - Prob. 84SECh. 13 - Prob. 85SECh. 13 - Prob. 86SECh. 13 - Prob. 87SECh. 13 - Prob. 88SECh. 13 - Prob. 89SECh. 13 - Prob. 90SECh. 13 - Prob. 92SECh. 13 - Prob. 94SE
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