Concept explainers
z Scores: Fawns Fawns between 1 and 5 months old in Mesa Verde National Park have a body weight that is approximately
Convert each of the following z intervals to x intervals.
(g) Interpretation If a fawn weighs 14 kilograms, would you say it is an unusually small animal? Explain using z values and Figure 7-12.
(h) Interpretation If a fawn is unusually large, would you say that the z value for the weight of the fawn will be close to
(a)
The z intervals from x interval
Answer to Problem 10P
Solution: The z intervals from x interval is
Explanation of Solution
We use the formula for normal distribution:
(b)
The z intervals from x interval
Answer to Problem 10P
Solution: The z intervals from x interval is
Explanation of Solution
We use the formula for normal distribution:
(c)
The z intervals from x interval
Answer to Problem 10P
Solution: The z intervals from x interval is
Explanation of Solution
We use the formula for normal distribution:
(d)
The x intervals from z interval
Answer to Problem 10P
Solution: The x intervals from z interval is
Explanation of Solution
We use the formula for normal distribution:
(e)
The x intervals from z interval
Answer to Problem 10P
Solution: The x intervals from z interval is
Explanation of Solution
We use the formula for normal distribution:
(f)
The x intervals from z interval
Answer to Problem 10P
Solution: The x intervals from z interval is
Explanation of Solution
We use the formula for normal distribution:
(g)
Whether a fawn weighing 14 kilograms would be unusually small animal.
Answer to Problem 10P
Solution: Yes, we can say that it is an unusually small animal.
Explanation of Solution
We use the formula for normal distribution:
According to Figure 7-12, 99.7% of the data values lie within 3 standard deviation of the means. Since the obtained z-value is -3.07 is below three standard deviation of mean, hence we can say that fawn weighing 14 kilograms would be unusually small animal.
(h)
The z value for a fawn to be unusually large.
Answer to Problem 10P
Solution: The z value for a fawn to be unusually large is 3.
Explanation of Solution
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Chapter 7 Solutions
Understanding Basic Statistics
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt