Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Chapter 6.1, Problem 40E
a.
To determine
Sketch the distribution of the variable x.
b.
To determine
Obtain the standardized version z of x.
c.
To determine
Sketch the distribution of z.
d.
To determine
Fill in the given blank.
e.
To determine
Fill in the given blank.
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Green Sea Urchins. From the paper “Effects of Chronic Nitrate Exposure on Gonad Growth in Green Sea Urchin Strongylocentrotus droebachiensis” (Aquaculture, Vol. 242, No. 1–4, pp. 357–363) by S. Siikavuopio et al., the weights, x, of adult green sea urchins are normally distributed with mean 52.0 g and standard deviation 17.2 g. For samples of 12 such weights, identify the distribution of each of the following variables.
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experiment in which the amount of radon released in showers was imvestigated. Radon-enriched
water was used in the experiment, and six different orifice diameters were tested in shower
heads. The data from the experiment are shown in the following table.
5.
Orifice Diameter
0.37
0.51
0.71
1.02
Radon Released ()
83
75
73
72
83
85
79
79
74
76
77
67
74
74
1.40
62
62
67
69
1.99
60
64
66
(a) Does the size of the orifice affect the mean percentage of radon released? Use a=0.05.
(b) Find a 95% confidence interval on the mean percent of radon released when the orifice
diameter is 1.40.
Green Sea Urchins. From the paper “Effects of Chronic Nitrate Exposure on Gonad Growth in Green Sea Urchin Strongylocentrotus droebachiensis” (Aquaculture, Vol. 242, No. 1–4, pp. 357– 363) by S. Siikavuopio et al., we found that weights of adult green sea urchins are normally distributed with mean 52.0 g and standard deviation 17.2 g.
a. Find the percentage of adult green sea urchins with weights between 50 g and 60 g.
b. Obtain the percentage of adult green sea urchins with weights above 40 g.
c. Determine and interpret the 90th percentile for the weights.
d. Find and interpret the 6th decile for the weights.
Chapter 6 Solutions
Introductory Statistics (10th Edition)
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Ch. 6.1 - In each of Exercises 6.46.11, assume that the...Ch. 6.1 - A curve has area 0.425 to the left of 4 and area...Ch. 6.1 - A curve has area 0.613 to the left of 65 and area...Ch. 6.1 - Prob. 14ECh. 6.1 - A variable is approximately normally distributed....Ch. 6.1 - Precisely what is meant by the statement that a...Ch. 6.1 - Two normally distributed variables have the same...Ch. 6.1 - Which normal distribution has a wider spread: the...Ch. 6.1 - Consider two normal distributions, one with mean 4...Ch. 6.1 - Prob. 20ECh. 6.1 - True or false: The mean of a normal distribution...Ch. 6.1 - Prob. 22ECh. 6.1 - Sketch the normal distribution with a. = 3 and =...Ch. 6.1 - Prob. 24ECh. 6.1 - For a normally distributed variable, what is the...Ch. 6.1 - Prob. 26ECh. 6.1 - Prob. 27ECh. 6.1 - The area under a particular normal curve between...Ch. 6.1 - A variable has the density curve whose equation is...Ch. 6.1 - A variable has the density curve whose equation is...Ch. 6.1 - Waiting for the Train. 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