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1) Two possible answers: Ho: He is poor Students who said a small alpha needed to talk about not wanting to pass up a poor man Students who said a large alpha needed to talk about not supporting scam artists Ho: He is a scam artist Students who said a small alpha needed to talk about not supporting scam artists Students who said a large alpha needed to talk about not wanting to pass up a poor man 2) DF Regression 1 Error 48 Total 49 3) SS 109 1013.914 1122.9 MS F 109 21.123 5.16 P .0276 391 391 1 391 450 450 2.17 (0.834,0.903) 450 450 4) Ho: It doesn’t matter where you buy your earphones (they all have the same failure rate) Ha: It does matter where you buy your earphones (some fail faster than others) α=0.05 The missing expected values are 126.23, 115.41, 13.77, and 12.59 The missing chi-squared values are .361, 2.23 χ23=7.084 0.05 < p-value < 0.10 Fail to Reject We cannot show any difference in the failure rates among these manufacturers of earphones 5) If we were testing H0: µ = 4000 the p-value would be below 0.02 X If we were testing Ha: µ ≠ 4000 the p-value would be above 0.01 X If we had sampled only 100 cars the confidence interval would contain the number 4000 X We are 98% confident the true average mean is between 3221 and 4009 98% of the time a confidence interval like this is done it will contain the number 4000 The true average is between 3221 and 4009 lbs 98% of the time. 6) 59 131 167 275 158 4 59 1582 131 1582 167 1582 275 1582 4 1 90 Ho: µ≤50 Ha: µ>50 α=0.05 t3=(158-50)/(90/sqrt(4)) = 2.4 0.025 < p-value < 0.05 Reject the null Our data shows that it CAN take more than 50 bullets on average 7) X X ? The evidence shows their averages are all the same The evidence shows their averages are all different from each other The evidence does not show there are any averages that are different The evidence shows at least one average is different from the others The evidence shows there is someone who is faster than another in this group The evidence shows there is one person who is faster than all the others The evidence shows my kids were watching Snow White while I wrote test questions 8) Cannot do 9) 0.01=2.5756*sqrt(p*(1-p)/n) So n=(2.75/0.01)2*p*(1-p) Any p is reasonable between 10% (very few freshmen, more students are seniors that can never graduate) to 25% (one fourth of the options) to nearly 50% (since more students are freshmen, and then they drop out) For 10% n=5973 For 25% n=12443 For 33% n=14747 For 50% n=16590 10) (1.32-1.65) ± 2.201 *0.01/sqrt(12) = (-0.33635, -0.323646) 11) Ho: Server requests are not related to the stock market Ha: Server requests are related to the stock market α=0.05 t=.21 p-value=0.837 Fail to Reject We cannot show a relationship between server requests and the stock market 12) Super eyes Ability to fend off wedgies and resistance to getting his lunch money stolen. He’s a nerd. These powers will definitely come in handy The power of confidence To not be able to finish tests Ability to predict Ha…. And to fly I would give him super social anxiety, with an inability to resist arguments with people both bigger and stronger than him. I would give him the power of having never ending whiteboard marker ink The power to always assume normality An alpha so large he can reject people out of reality Probability man – he can predict the likelihood of any event (with a margin of error of 0.05) Useful ones like flying and stuff. He can be a statistician as his alter-ego X-ray vision (TSA style) He could change the probability of anything happening to anyone at anytime Something similar to the movie “limitless” where he can use more brain power to super-analyze statistics Ability to predict the future for only categorical statistics Ability to do ANOVA in his head Nothing