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Mathematics 14 Online
OpenStudy (anonymous):

.

ganeshie8 (ganeshie8):

familiar with calculating zscores ?

OpenStudy (anonymous):

I know about the chart but never understood how to find numbers from it.:/

ganeshie8 (ganeshie8):

good, its just a chart - lets find the zscores for the given observations first

ganeshie8 (ganeshie8):

whats the zscore of 1,965 ?

OpenStudy (anonymous):

Hm, that number isn't even in my zscore...?

ganeshie8 (ganeshie8):

Yeag 1965 is the observation, use below formula to find the zscore : \(\large \text{zscore} = \dfrac{\text{observation - mean}}{\text{standard deviation}}\)

ganeshie8 (ganeshie8):

zscore for 1965 = \(\dfrac{1965 - 2100}{40} = ?\)

OpenStudy (anonymous):

Ah okay, So the z-score is -3.375?

ganeshie8 (ganeshie8):

Yep ! find the corresponding probability in your table

OpenStudy (anonymous):

I can't find it; which line?

ganeshie8 (ganeshie8):

http://www.stat.ufl.edu/~athienit/Tables/Ztable.pdf

ganeshie8 (ganeshie8):

-3.375 ~ -3.38

ganeshie8 (ganeshie8):

look up in second row

OpenStudy (anonymous):

is it next to the side of -3.4?

ganeshie8 (ganeshie8):

its below that row

ganeshie8 (ganeshie8):

put your one finger on -3.3 ROW and put the next finger on 0.08 COLUMN

OpenStudy (anonymous):

Oh, .004! Just a question, how does that give 0.9480?

ganeshie8 (ganeshie8):

ganeshie8 (ganeshie8):

Correct ! so the probability for the observation 1965 or less is 0.004

ganeshie8 (ganeshie8):

next, find the zscore for second observation : 2165

OpenStudy (anonymous):

That would be .9996?

ganeshie8 (ganeshie8):

whats the zscore ?

OpenStudy (anonymous):

Oh, I thought that was the zscore.:/ Sorry, not good w. these; Is this one is the first box or below it?

OpenStudy (anonymous):

In the 2.1 column?

ganeshie8 (ganeshie8):

again, you need to find the zscore for the observation 2165 first

ganeshie8 (ganeshie8):

zscore for 2165 = (2165 - 2100)/40 = ?

OpenStudy (anonymous):

sorry, 1.625. The z-score is next to 1.6?

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