Concept explainers
(a)
To find: the mean and standard deviation of the number of researchers with bull 's eyes can be obtained.
(a)
Answer to Problem 28E
Mean = 160
Standard Deviation = 5.66
Explanation of Solution
Given:
Formula used:
Calculation:
The mean is
The standard deviation is
(b)
To Explain: that normal model is an appropriate here.
(b)
Explanation of Solution
Given:
Calculation:
And,
Here, it could be noticed that np > 10 and nq > 10. Therefore, the normality conditions are satisfied.
(c)
To Explain: the distribution of the number of bull’s-eyes researcher may get using the 68-95-99.7.
(c)
Explanation of Solution
Given:
Calculation:
Using the
68% of the data lies between the limits of one sigma.
Using the 68-95-99.7 rule, researcher expected to obtain between 154.34 and 165.66 About 68 percent of the time, Bull's eyes.
95% of the data lies between the limits of two sigma
Using the 68-95-99.7 rule, researcher expected to obtain get between 148.69 and 171.31 About 95 percent of the time, Bull's eyes.
99.7% of the data lies between the limits of three sigma
Using the 68-95-99.7 rule, researcher expected to obtain between 143.03and 176.97 About 99.7 percent of the time, Bull's eyes.
(d)
To Explain: that it would be surprised if researcher made only 140 bull’s eyes.
(d)
Answer to Problem 28E
0.0002
Explanation of Solution
Given:
Calculation:
The probability is,
Here, the value of chance is very small. So, it is obvious that it is quite unlikely that only 140 bull's-eyes out of 200 will be struck by the archer.
Chapter 17 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
Additional Math Textbook Solutions
Intro Stats
Introductory Statistics (10th Edition)
Introductory Statistics
Elementary Statistics
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