Concept explainers
z Scores: Red Blood Cell Count Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. For healthy females, x has an approximately
Convert each of the following z. intervals to x intervals.
(g) Interpretation If a female had an RBC count of 5.9 or higher, would that be considered unusually high? Explain using z values and Figure 7-12.
(a)
The z intervals from x interval
Answer to Problem 11P
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 11P
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 11P
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 11P
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 11P
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 11P
Solution: The x intervals from z interval is
Explanation of Solution
We use the formula for normal distribution:
(g)
Whether a female having a RBC count of 5.9 or higher would be considered unusually high.
Answer to Problem 11P
Solution: Yes, female having a RBC count of 5.9 or higher would be considered unusually high.
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 3.67 is above three standard deviation of means, hence we can say that female having a RBC count of 5.9 or higher would be considered unusually high.
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