Algebra
A package has a mean mass of 340 g and a standard deviation of 1.5 g. Assuming that the masses are normally distributed, find the percent of packages with a mass below 336.7 g.
2.2%
98.6%
4.9%
1.4%

Question

Algebra
A package has a mean mass of 340 g and a standard deviation of 1.5 g. Assuming that the masses are normally distributed, find the percent of packages with a mass below 336.7 g.
	2.2%
	98.6%
	4.9%
	1.4%

anonymous · Answer

attachment

amistre64 · Answer

odd construct but ok ... in this case i spose we need to determine the "x score"

how many standard deviations does it take to get from the mean to the required amount?

anonymous · Answer

Is this the formula... abs(score-mean)/sd ?

amistre64 · Answer

dunno about abs,  but yeah thatll do fine for the moment

anonymous · Answer

okay then, i'm still not to sure how many standard deviations it takes

amistre64 · Answer

whats the difference in the mean and the given value?

anonymous · Answer

is it 3.3? 340-336.7

amistre64 · Answer

3.3 .... now when we want to know how mnay of something fits into something else 

1.5 n = 3.3 ,  when n=?  how do we solve it?

anonymous · Answer

3.3/1.5, n=2.2

amistre64 · Answer

thats why we divide by the sd .....

2.2 is the number of deviations we are from the mean

amistre64 · Answer

now what to do with this depends on your table setup

anonymous · Answer

Okay, it looks like 2.2 falls into the 5th row

amistre64 · Answer

X appears to measure the distance FROM the mean

which tells me that we will have to make an adjustment to get the correct results

amistre64 · Answer

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amistre64 · Answer

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