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- This topic has 2 replies, 2 voices, and was last updated 3 years ago by John Moffat.
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- June 4, 2021 at 8:35 am #623070
Hi John
Can you please help me with this question
The heights of adult females are normally distributed with a mean of 163 cm and a standard deviation
of 1.5 cm.
Ms X falls within one standard deviation of the mean. What range of heights does she fall
within?Answer is 161.5 – 164.5 cms
My working
1 SD = 0.3413
50 – 34.13 = 15.87%
z score of 15.87 % = 0.1554 & 0.1591
Average = 0.400 + 0.401 / 2 = 0.4005i’m stuck here. Can you kindly help
June 4, 2021 at 9:20 am #623074Please can you help with this too :
Based upon evidence from a number of years, PCM’s sales revenue is believed to be normally
distributed with a mean of $50,000 and a standard deviation of $8,000. The following
calculations have been used to illustrate what these signify:
I $50,000 + (1.65 × $8,000) = $63,200
II $50,000 – (1.65 × $8,000) = $36,800Answer
The probability that sales revenue will be in the range $36,800 to $63,200 is 90%.
The book doesn’t explain this and i tried calculating coefficient of variation but I dont think that is the way
June 4, 2021 at 1:35 pm #623126The normal distribution is not examinable in Paper PM.
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