Math Problem Statement
For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is
3636
beats per minute, the mean of the listed pulse rates is
x overbarxequals=79.079.0
beats per minute, and their standard deviation is
sequals=27.227.2
beats per minute.
a. What is the difference between the pulse rate of
3636
beats per minute and the mean pulse rate of the females?
b. How many standard deviations is that [the difference found in part (a)]?
c. Convert the pulse rate of
3636
beats per minutes to a z score.
d. If we consider pulse rates that convert to z scores between
minus−2
and 2 to be neither significantly low nor significantly high, is the pulse rate of
3636
beats per minute significant?
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Z-Scores
Standard Deviation
Mean
Formulas
Difference = Mean - Pulse rate
Number of standard deviations = Difference / Standard deviation
Z-score = (Pulse rate - Mean) / Standard deviation
Theorems
Z-score calculation
Standard deviation interpretation
Suitable Grade Level
Grades 9-12
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