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Mathematics 16 Online
OpenStudy (anonymous):

DF x^2 Calc Command P-value 4 5 x2cdf( 4 10 x2cdf( 4 15 x2cdf( 4 20 x2cdf( 3 15 x2cdf( 4 15 x2cdf( 5 15 x2cdf( 6 15 x2cdf(

OpenStudy (anonymous):

Find the p-value for each by filling in the table (don't forget to complete the calculator command):

OpenStudy (anonymous):

@reemii @mathstudent55 @Mertsj

OpenStudy (mertsj):

No clue

OpenStudy (anonymous):

who does?

OpenStudy (anonymous):

@electrokid ?

OpenStudy (anonymous):

no comprehendo the question

OpenStudy (reemii):

Does this mean (first line) that there is Chi-squared random variable with 4 degrees of freedom that has taken a value equal to 5 and you are asked to give the p-value ?

OpenStudy (anonymous):

OpenStudy (reemii):

Do you have the table of the chi-squared?

OpenStudy (reemii):

oh but you have a calculator?

OpenStudy (reemii):

find a calculator or use the table given by electrokid. Look at the curve of the density of the chi-squared(DF=whatever) . Fix some value A. The p-value is the area on the right of A, and it is = P(this chi-square variable > A).

OpenStudy (reemii):

so can you complete it now?

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

not exactly sure what they want, but it sounds like they want to know the p value for the given chi-square test statistic (for each row)

OpenStudy (anonymous):

Yea they do

OpenStudy (anonymous):

they do want that lol @jim_thompson5910

jimthompson5910 (jim_thompson5910):

here's a calculator that might be helpful http://www.fourmilab.ch/rpkp/experiments/analysis/chiCalc.html

jimthompson5910 (jim_thompson5910):

you will be using the bottom portion of the page

OpenStudy (anonymous):

@jim_thompson5910 i think i got it

OpenStudy (anonymous):

is this right? 1. 0.2872 2. 0.0404 3. 0.0047 4. 0.0004 5. 0.0018 6. 0.0047 7. 0.0103 8. 0.0202

jimthompson5910 (jim_thompson5910):

let me check

OpenStudy (anonymous):

kk

jimthompson5910 (jim_thompson5910):

oh sry i misread, it should be the section that's right before the last section

OpenStudy (anonymous):

yea thats what i used

jimthompson5910 (jim_thompson5910):

oh nvm, you caught it before I did lol

jimthompson5910 (jim_thompson5910):

ok let me check

OpenStudy (anonymous):

ok

jimthompson5910 (jim_thompson5910):

looks great to me

jimthompson5910 (jim_thompson5910):

I'm getting the same

OpenStudy (anonymous):

cool!

OpenStudy (anonymous):

ok i have another one:

OpenStudy (anonymous):

Sarah is running a chi-squared Goodness of Fit test to test whether the claimed proportions of candy colors in assorted bags of candy are different than claimed by the company. She takes a random sample of 300 pieces of candy from assorted bags. The company claims the following proportions of colors in assorted bags:

OpenStudy (anonymous):

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

looking up formula

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

did u find it @jim_thompson5910 lol

jimthompson5910 (jim_thompson5910):

well that's the thing, I think i have an idea on how to do this...but it seems like something is missing

jimthompson5910 (jim_thompson5910):

not 100% sure though

OpenStudy (anonymous):

ok what do u think?

OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (anonymous):

@jim_thompson5910 ?

jimthompson5910 (jim_thompson5910):

ok i see the proportions given by the company, but what are the actual sample counts?

OpenStudy (anonymous):

where do i find that?

jimthompson5910 (jim_thompson5910):

it doesn't give it out?

OpenStudy (anonymous):

no the full problem is up there ^

jimthompson5910 (jim_thompson5910):

hmm ok

OpenStudy (anonymous):

soo

jimthompson5910 (jim_thompson5910):

i'm not entirely sure, the company gives out the claimed data, but there's no sample data to work with

jimthompson5910 (jim_thompson5910):

see what I mean?

OpenStudy (anonymous):

ya thats true it says

OpenStudy (anonymous):

wait did u see the screenshot?

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

yeah i saw that, that's the company's claimed data

jimthompson5910 (jim_thompson5910):

but there's nothing to compare it to

OpenStudy (anonymous):

ummm

OpenStudy (anonymous):

Heres question again: Sarah is running a chi-squared Goodness of Fit test to test whether the claimed proportions of candy colors in assorted bags of candy are different than claimed by the company. She takes a random sample of 300 pieces of candy from assorted bags. The company claims the following proportions of colors in assorted bags:

OpenStudy (anonymous):

Then its the pic. and it says What are the expected results of each color?

jimthompson5910 (jim_thompson5910):

does it give you any info on what kind of sample she got?

OpenStudy (anonymous):

Nope thats all of it.

OpenStudy (anonymous):

it says she takes a random sample

jimthompson5910 (jim_thompson5910):

lame, there's definitely missing info in my opinion

jimthompson5910 (jim_thompson5910):

but I'm not 100% sure if that's the case or not

OpenStudy (anonymous):

so wat do i do

jimthompson5910 (jim_thompson5910):

could it be a typo maybe that this info is missing?

jimthompson5910 (jim_thompson5910):

If i were in your shoes, I would ask the teacher about it and maybe the info will be given then?

jimthompson5910 (jim_thompson5910):

oooh wait...we just want the expected results we don't need the sample

jimthompson5910 (jim_thompson5910):

not thinking at all

jimthompson5910 (jim_thompson5910):

but you just multiply the values in the table with the total 300

OpenStudy (anonymous):

lol ok

OpenStudy (anonymous):

how?

jimthompson5910 (jim_thompson5910):

example: 0.2 is in the green column so you expect there to be 0.2*300 = 60 green

jimthompson5910 (jim_thompson5910):

do the same for the rest

jimthompson5910 (jim_thompson5910):

unfortunately we can't go any further with the goodness of fit test because we will still need the observed results (ie the stuff in the sample), but that's ok

OpenStudy (anonymous):

Green: .2 times 300 = 60 Yellow: .3 times 300 = 90 Red: .3 times 300 = 90 Blue: .2 times 300 = 60

OpenStudy (anonymous):

is this right?

jimthompson5910 (jim_thompson5910):

yep

OpenStudy (anonymous):

ok thats the answer? ok thx one more

OpenStudy (anonymous):

A regular 6-sided die is tossed 200 times with the faces turning up as follows:

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

if you toss a die 200 times, how many times do you expect to get a 1 on the die

OpenStudy (anonymous):

ummm

OpenStudy (anonymous):

idk?

jimthompson5910 (jim_thompson5910):

what are the chances of rolling a 1 on a six sided die

OpenStudy (anonymous):

1/6

jimthompson5910 (jim_thompson5910):

multiply that with 200

OpenStudy (anonymous):

200/6?....

jimthompson5910 (jim_thompson5910):

write in decimal form though

OpenStudy (anonymous):

33.3333333333

jimthompson5910 (jim_thompson5910):

so roughly 33

jimthompson5910 (jim_thompson5910):

if you round to the nearest integer

jimthompson5910 (jim_thompson5910):

this means that you expect to get a '1' on the die 33 times

jimthompson5910 (jim_thompson5910):

if you roll it 200 times total

OpenStudy (anonymous):

okay

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