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yaya111601
28.08.2019 •
Mathematics
Suppose that resting pulse rates for healthy adults are found to follow a normal distribution, with a mean of 69 beats per minute and a standard deviation of 9.5 beats per minute. what does it mean if bonnie has a pulse rate of 78.5 beats per minute? a. bonnie's pulse rate, when converted to a standard score, would be 1.5.b. bonnie's pulse rate is two standard deviations above the mean.c. approximately 32% of adults have pulse rates higher than bonnie's.d. approximately 16% of adults have pulse rates higher than bonnie's.
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Ответ:
Approximately 16% of adults have a pulse rate higher than bonnie'.
Step-by-step explanation:
A normal random variable with mean Mu = 69 and standard deviation sd = 9.5 is standardized with the transformation:
Z = (X - Mu) / sd = (X - 69) / 9.5
For a pulse rate value of 78.5, Z = (78.5 - 69) / 9.5 = 1.0
P (X <78.5) = P (Z <1.0) = 0.8413.
P (X> 78.5) = P (Z> 1.0) = 0.1587.
The standard score for the Bonnie's pulse rate is 1.0.
Bonnie's pulse rate is at the 1.0 standard deviations above the mean.
Approximately 16% of adults have a pulse rate higher than bonnie'.
Ответ:
1. You have to subtract 2 from both sides!
The rest of the steps are on the image!
Hope this helps! Good luck :)