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anonymous
 one year ago
The Acculturation Rating Scale for Mexican Americans (ARSMA) is a test that measures the extent to which Mexican Americans have adopted Anglo/English culture. A similar test, the Bicultural Inventory (BI), attempts to do the same thing. To compare the tests, researchers administer both tests to 22 MexicanAmericans. Both tests have the same range of scores (1.00 to 5.00) and are scaled to have similar means for the groups used to develop them. There was a high correlation between the two scores, giving evidence that both are measuring the same characteristics. The researchers wanted to know whether the population mean scores for the two tests were the same. The differences in scores (ARSMA  BI) for the 22 subjects had x = 0.2519 and s = 0.2767.
(a) Describe briefly how the administration of the two tests to the subjects should be conducted, including randomization.
(b) Carry out a significance test for the hypothesis that the two tests have the same population mean. Give the Pvalue and state your conclusions.
(c) Give a 95% confidence interval for the difference between the two population mean scores.
anonymous
 one year ago
The Acculturation Rating Scale for Mexican Americans (ARSMA) is a test that measures the extent to which Mexican Americans have adopted Anglo/English culture. A similar test, the Bicultural Inventory (BI), attempts to do the same thing. To compare the tests, researchers administer both tests to 22 MexicanAmericans. Both tests have the same range of scores (1.00 to 5.00) and are scaled to have similar means for the groups used to develop them. There was a high correlation between the two scores, giving evidence that both are measuring the same characteristics. The researchers wanted to know whether the population mean scores for the two tests were the same. The differences in scores (ARSMA  BI) for the 22 subjects had x = 0.2519 and s = 0.2767. (a) Describe briefly how the administration of the two tests to the subjects should be conducted, including randomization. (b) Carry out a significance test for the hypothesis that the two tests have the same population mean. Give the Pvalue and state your conclusions. (c) Give a 95% confidence interval for the difference between the two population mean scores.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 please help!!

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1show me what you have so far

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay well for a: i know we must try to avoid the two tests influencing each other. but since every participant has to take the test we should split the group in half. 11 will take the ARSMA test first and the other 11 will take the BI first. this can be determined by a random drawing such as numbers out of a hat or certain colored items, etc.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0*since every participant has to take BOTH tests

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1hmm I'm thinking that everyone has to take both tests since it says `researchers administer both tests to 22 MexicanAmericans`

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Oh I see. You're saying the group of 11 takes the ARSMA first, nvm

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so yeah that sounds like a good idea to split up the groups

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay, i need help with parts B and C

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what are the two hypothesis?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im not quite sure how to conduct a significance test on the ti 84 calculator given the data provided. two hypothesis: Ho: the population mean scores for the two tests were the same Ha: the population mean scores for the two tests were not the same

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yeah or you can say Ho: mu1 = mu2 Ha: mu1 =/= mu2

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1mu1 = mu2 is the same as mu1  mu2 = 0

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1this seems like a paired ttest because we aren't given the xbar value for the ARSMA group (or the BI group). Instead we're given the xbar value for the difference in the scores

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ohh okay i see what youre saying

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1strange how alpha isn't given. I'm going to assume it's 0.05

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay! sounds good! okay so this is what i would put in my calc? u0: ? xbar: 0.2519 Sx:0.2767 n:22

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you went to a ttest right?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1ok so recall that mu1  mu2 = 0 is the null the difference in the means, call it mu_D, is mu_D = mu1  mu2 = 0 so, mu_D = 0

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1basically the null hypothesis is that the difference is 0

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so that is why mu0 is 0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait in the calculator what would we put in for u0?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1xbar = 0.2519 s = 0.2767 n = 22

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0im getting t=4.270024322 p=3.4065864E4

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.13.4065864E4 is the same as saying 3.4065864 * 10^(4) = 0.00034065864

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1this p value is very small

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what does a very small p value tell us?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that we reject the Ho

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so there is sufficient evidence to suggest that population mean scores for the two tests were not the same

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1correct on both

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1that wraps up the hypothesis test

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay what about for C

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the confidence interval (L,U) will use the formulas L = xbar  t*s/(sqrt(n)) U = xbar + t*s/(sqrt(n)) where t is the critical value

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you can use the calculator to go to hit the "STAT" key, then scroll down to #8 (or just hit the "8" key) to get to TInterval

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i am getting (.12922, .37458)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1for me, the data values typed in from the Ttest should pop up for the T interval too

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes my calc did the same

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Question: is 0 in that interval?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay thank you so much! youre the best :)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so that's more evidence to reject the null. If 0 were in that interval, then the difference could be 0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay thank you again!!
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