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Mathematics 18 Online
OpenStudy (anonymous):

Please help!! The difference between the sample means of two populations is 34.6, and the standard deviation of the difference between sample means is 11.9. What is the 95% confidence interval?

OpenStudy (amistre64):

\[(\bar x-\bar y) \pm z_{95\%}\sqrt{\frac{\sigma_1}{m}+\frac{\sigma_1}{n}}\]

OpenStudy (amistre64):

the difference of the means they give you, and the z score of 95% is what .. 1.96 right?

OpenStudy (anonymous):

do i just plug 34.6 and 11.9 in the equation?

OpenStudy (anonymous):

im so confused right now lol

OpenStudy (anonymous):

wow you even memorized the z table? wow

OpenStudy (amistre64):

lol, its a short table :)

OpenStudy (anonymous):

i wish i was good at stat

OpenStudy (anonymous):

don't we all

OpenStudy (amistre64):

since there is not sample sizes given, id have to refresh the proper rundown. Im thinking that we could just consider them to be equal sizes of 100 but thats prolly not correct.

OpenStudy (anonymous):

E.between -103.8 and +103.8 if you mean answers thats the only one even close to 100

OpenStudy (anonymous):

the rest are 69 and below

OpenStudy (amistre64):

difference of sample means .... ive got the formula correct, but im just trying to review how to plug in the given data

OpenStudy (anonymous):

wouldnt the sample means of the two populations which is 34.6 plug into m or no

OpenStudy (amistre64):

as is, id say we go with: \[(\bar x-\bar y) \pm z_{95\%}(standard~deviation)\] since they seem to have already calculated it for us

OpenStudy (amistre64):

34.6 + 1.96(11.9) 34.6 - 1.96(11.9)

OpenStudy (amistre64):

11.28 , 57.92

OpenStudy (anonymous):

do i add 34.6 together first or mutiply 1.96 and 11.9

OpenStudy (anonymous):

A.between -23.8 and +23.8 B.between -35.7 and +35.7 C.between -45.4 and +45. D.between -69.2 and +69.2 E.between -103.8 and +103.8

OpenStudy (anonymous):

idk those were the answer choices...

OpenStudy (anonymous):

i got the same thing you did though

OpenStudy (amistre64):

hmmm, then my thought needs some revision with the info provided

OpenStudy (anonymous):

The difference between the sample means of two populations is 34.6, and the standard deviation of the difference between sample means is 11.9. What is the 95% confidence interval?

OpenStudy (anonymous):

so you dont have to scroll up and down (:

OpenStudy (amistre64):

the mean given is 34 but the intervals are centered about zero

OpenStudy (anonymous):

isnt there a calculator to plug this stuff in on the computer?

OpenStudy (anonymous):

and then it gives you the answer someway

OpenStudy (amistre64):

when we "move" the set we found to a mean of zero, we get +- 23

OpenStudy (anonymous):

ohhh i see

OpenStudy (anonymous):

thats just about one of the answers to

OpenStudy (anonymous):

what about .8

OpenStudy (amistre64):

as an educated guess, id say A is prolly correct due to some approximation errors

OpenStudy (anonymous):

alright, thank you for taking the time and helping me (:

OpenStudy (amistre64):

good luck :)

OpenStudy (anonymous):

hell ya thank yaw

OpenStudy (anonymous):

ITS A

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