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Unformatted text preview: SOLUTIONS TO HW5 PROBLEMS 1 c n =40 25 s =5 0.791 1  =0.95 =0.05 1.96 MOE =1.55 2 b n =60 80 s =15 1.936 1  =0.95 =0.05 1.96 MOE =3.8 L =76.2 U =83.8 3 b n =49 24.8 s =5 0.714 1  =0.95 =0.05 1.96 MOE =1.40 L =23.4 U =26.2 4 A 90% confidence interval. a n =245 20000 s =4400 281.106 1  =0.9 =0.1 1.64 MOE =461.0 L =19539 U =20461 5 A 95% confidence interval. d n =245 20000 s =4400 281.106 1  =0.95 =0.05 1.96 MOE =551.0 L =19449 U =20551 6 A 99% confidence interval. d n =245 20000 s =4400 281.106 1  =0.99 =0.01 2.58 MOE =725.3 L =19275 U =20725 7 d 4 1.96 s =16.07 n =62.005 63 rounded up 8 The fol owing data have been col ected for a sample from a normal population: c 8 14 12 16 22 11 9 20 n =8 14 s =5.043 1.783 1  =0.95 =0.05 2.365 MOE =4.22 L =9.78 U =18.22 Next TWO questions are based on the fol owing: 9 Develop a 90% confidence interval for the population mean. a n =20 28.64 s =12.6 2.817 1  =0.9 =0.1 1.729 MOE =4.87 L =23.77 U =33.51 10 Develop a 95% confidence interval for the population mean. b n =20 x =28.64 s =12.6 2.817 1  =0.95 =0.05 2.093 MOE =5.90 L, U = x MOE L =22.74 U =34.54 11 The fol owing data show a sample of the prescription cost in dol ars for a drug used to lower cholesterol. a 180 120 105 154 161 105 200 111 n =8 142 s =36.832 13.022 1  =0.95 =0.05 2.365 MOE =30.80 L =111.20 U =172.80 12 b 429 442 469 424 462 469 430 428 466 469 445 467 n =12 450 s =18.737 5.409 1  =0.95 =0.05 2.201 MOE =11.91 L =438.09 U =461.91 13 d 1  =0.95 =0.05 1.96 MOE =5 = 20 n =61.4656 62 14 In the previous question, how large a sample should be used to provide a margin of error of 2? b 1  =0.95 =0.05 1.96 MOE =2 = 20 n =384.16 385 15 d 1  =0.99 =0.01 2.58 MOE =50 = 420 n =469.68 470 16 b x =190 n =500 0.38 0.0217 1  =0.95 =0.05 1.96 MOE =0.043 L, U = p MOE L =0.34 U =0.42 17 d x =560 n =800 0.7 0.0162 1  =0.9 =0.1 1.64 MOE =0.027 L =0.67 U =0.73 18 Provide a 99% confidence interval for the previous example....
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This document was uploaded on 10/27/2011 for the course ECONE 270 at Indiana.
 Fall '10
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