The amount of Luthur\'s monthly bill is normally distributed with mean 59 dollars and standard
deviation 9 dollars. Calculate the first quartile.
Solution
We are given that [bar(x)=59,s=9] and we are asked to compute the first quartile.
The first quartile marks the value where 25% of the values are less than the given value.
Consulting the standard normal chart we find that a [z] score of -.6745 has 25% of all scores
below it.
Now [z=(x-bar(x))/s] so [-.6745=(x-59)/9 ==> x=52.9296]
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The first quartile for monthly bills is approximately $52.93 or $53.00.
The amount of Luthurs monthly bill is normally distributed with me.pdf
1. The amount of Luthur's monthly bill is normally distributed with mean 59 dollars and standard
deviation 9 dollars. Calculate the first quartile.
Solution
We are given that [bar(x)=59,s=9] and we are asked to compute the first quartile.
The first quartile marks the value where 25% of the values are less than the given value.
Consulting the standard normal chart we find that a [z] score of -.6745 has 25% of all scores
below it.
Now [z=(x-bar(x))/s] so [-.6745=(x-59)/9 ==> x=52.9296]
---------------------------------------------------------------
The first quartile for monthly bills is approximately $52.93 or $53.00
![The amount of Luthur's monthly bill is normally distributed with mean 59 dollars and standard
deviation 9 dollars. Calculate the first quartile.
Solution
We are given that [bar(x)=59,s=9] and we are asked to compute the first quartile.
The first quartile marks the value where 25% of the values are less than the given value.
Consulting the standard normal chart we find that a [z] score of -.6745 has 25% of all scores
below it.
Now [z=(x-bar(x))/s] so [-.6745=(x-59)/9 ==> x=52.9296]
---------------------------------------------------------------
The first quartile for monthly bills is approximately $52.93 or $53.00](https://image.slidesharecdn.com/theamountofluthursmonthlybillisnormallydistributedwithme-230402075555-d53df976/85/the-amount-of-luthurs-monthly-bill-is-normally-distributed-with-mepdf-1-320.jpg)
