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A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The floor exercise is a commonly shared event between the Women’s and Men’s Artistic Gymnastics programs. Let’s compare the floor exercise scores of the female gymnasts and male gymnasts. To do this, we will consider the 2007, 2011, and 2015 results as sample data.

Individual All-Around Finals

We will first look at the floor exercise scores in the Individual Female All-Around Finals and in the Individual Male All-Around Finals.

i. Find the sample mean and sample standard deviation for the floor exercise scores in the Individual Female All-Around Finals and the Individual Male All-Around Finals.

ii. Construct a 95% confidence interval for the difference in population mean floor exercise scores between female and male gymnasts in the Individual All-Around Finals. (Hint: Use the results of i. and use the t-distribution.)

iii. Using the confidence interval in part iii., can we infer at the 5% significance level that the population mean floor exercise score in the Individual All-Around Finals is different for female gymnasts and male gymnastics?    

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99:09 57.85 31.0 57.70 57.30 56.85 56.85 56.15 56.15 55.80 55.80 55.50 55.50 55.40 55.40 55.05 55.05 54.75 54.75 54 55 54.55 54 45 54.45 54.30 54.30 54.10 54.10 53.70 53.70 53. 30 53.30 52 55 52.55 52 25 52.35 51.50 51.50 51 45 51.45 64 46 51.15 50 55 50.55 50. 35 50.35 40 BE 49.85 40 10 49.10 49 50 48.50 44 75 44.75 44 45 44.45 42.35 41.75 41.35 41.10 40.35 39.70 38.35 M Rank 3 4 5 2 6 = 7 2 8 = 9 10 11 20 12 12 13 19 14 14 15 15 16 19 17 + 18 19 19 19 20 20 21 21 22 22 23 23 24 24 25 26 27 55 20 29 31 32 33 35 36 4 = 3 = 4 = 5 6 = 7 = 8 = 9 = 9 = 11 !! 12 13 14 15 16 16 17 70 18 10 19 20 20 21 20 22 55 23 = 24 7 25 77 26 = 27 7 28 7 29 = 30 = 31 32 33 34 35 36 = = 4 5 5 6 16 7 2 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 22 23 24 24 25 25 26 26 27 27 28 28 29 30 31 32 33 34 35 36
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Mikaela Jordyn Shallon V Vivi Nata Cathy Emily Briannah Krishna Taylor Elise www Melissa Madison Lory-Jing Anne-Sophie Melissa Melissa Sydney Marine Marisa Dominique Madison precis Abby Fadey Individual Female All-Around Finals E H Last Name Vault 14.4 15.15 Depen Breanna Charlie Paula Marie Bealla Brielle Drone Erica Chelsea D Jeannie Taylor www. Kathrine www. Kayla kaysa Corey corey Cassie Perri Kelcie verore Dominique comen Brittany Alycia Maria Stephanie Marion Amanda Jaclyn Catherine Lisa-Marie Nicole Lee Nicole Jessica Jessica Hannah Karina Hannah Molicea Alexandra Marai Kim Dawn Kelsey Eleanor Gladys Cassandra Stephanie Frances Nicole Nicole Rae Lauren Ashley Gabrielle comp Sarah Tiempiter Erin Caroline Helen TAGol Ariel Margaret parent Leah Dawn Exca Erica Lynn Windy Lindy Amanda Ale Alice Sierra Sierra Janae Anna Laura Patricia Aletta Keely Elizabeth Deidre Christina Marcie Lynn Jocelyn Elizabeth Woo Olsen Roberts Cyrenne Rousseau Posidis-Kowalski H Kaji nap Borges Ruttan Inutian Wright wirgin Brown prow Colussi-Pelaez peamcom Demers Roman Pouliot rodiol Pedrick redrick Parker raikei Blackner Faulkner Dimas Lamas Leipsic Leipsic Temkov Boulanger stewart Holmes Squires Wilson hain Dolomount proton Shea Sida Dolan Doran Doucette Quinn fo M McGuigan INICOU Coyne Arcand NEAK DENOMMÉE Colussi-Pelaez F cond Gill tom Gerber Pedersen Love Olsen Babalis Tsang Isang Lema Yemany Ricci Focu Bolger Fontaine Loman Brannen Robert Csukassy Ger Lennon Cl Clark www McEachem PAL Dick Ewald Franklin Wright V Miller Wilchuck Devereaux proven Landry Farao Faulkner Murrin wwwwww Wilson Weis Weir PANT McNeill Slysz Siyez Hickman Baske Juneau Baxter wome Feehan Wight www. Henney www Pegg 1999 Vaughan Rogers Chan Potvin Fuller Dion Dion Farley Heikkila MacCallum Swift Carbo Corbo Picton Genereux Lang Harrison McGregor Pineau Gould May May Eleft Flett Boone McAvity Crawford Cuscito Saulnier Herrington Ma Ma F PT QC BC ON ос Palamar Mabinty Rivard Hurley Leitch Whitelaw Lambert Pound Wichtel 1 ос D ON B BC De ON ON AB AD SK SA AB Le ON ON LOC BC De NS INS SK PA AB AD IMD MB NS NS SK SA MB MD ON MB NS NS NL NB NL NB NB == PE 25 PE 25 PE 25 2 AB = QC ON ON ON ON Don ON on BC De ос Lo BC De ON ON BC 19 ON LON QC Loo SK ON QC po ос MB AB MD MB MD MB 7 AB OK SK 7 SK = NS 77 AB = NL NB 7 NS H |NS = NB + v YT ON BC BC Desjardins-Labelle ос ос 100 NL = NB = PE = NL V YT PE = PE ON ON ос Lo OG Lo ON ON NB BC OC QC SK SK SK SA AB AR AB AB AB AB BC BC NB NB MB MB MP MB NS NS ND NB OK SK LAD MB NO NS NO NS DE PE V v YT NL NE YT NL NL PE PE G Age 15 14 14 = 17 2 15 29 13 19 16 = 18 14 = 16 = 14 16 10 17 17 12 15 16 = 16 19 17 14.05 22 14:00 13.9 17 !! 18 19 16 10 16 10 16 19 17 17 13.95 19:00 13.6 19:0 10 16 15 15 14.55 14:00 13.8 19:0 14.3 13.25 19.29 12.95 14:00 14.2 13.75 19:19 13.4 TONY 14.05 14.09 13.65 13.25 13.25 13.4 TON 13.15 13.19 14.1 14:1 14.35 12.85 13.2 13.15 12.8 18 12.05 13 12.9 13.15 14 17 11.9 2 16 12.5 11 12.2 14 12.4 14 11.3 14 14 13.75 13.65 14.1 13.7 13.65 12.85 Le 14.4 www 13.55 19:99 13.65 19:09 13.5 19:9 13.25 19.20 12.95 12:59 13.15 19:19 13.15 19:19 12.65 13.55 13.35 13.35 77 13.4 13.15 14.05 11.95 12.05 12.05 427 13.7 700 12.6 12.95 12.5 750 12.8 12.5 10 65 12.65 11.6 OF 13.05 19:09 11.75 Spe 11.8 10.9 www 11.2 11.4 14.45 bove 14.6 15.15 13.85 15 15 14.5 14.5 14.8 14.8 13.5 13.5 13.2 13.2 13.65 15.05 13.2 13.2 13.45 13.5 13.5 14.25 14.25 13.8 13.8 144 14.4 134 13.4 12.8 13.8 13.35 13.15 133 13.3 12.8 12.8 12.2 13.2 12. 65 12.65 428 12.5 12.05 12.95 11.85 12.35 13.2 12.75 11.5 12.6 12.7 11.45 11.55 I Uneven Bars 15.4 14.55 14.5 14.2 ve 13.8 14.35 Spe 13.7 11944 13.85 14.3 14 = 11.5 $11.9 12.45 14:40 13.7 19:1 12.3 16.0 11.45 11:40 13.3 19.9 11.15 11:19 13.15 19:19 12.75 12.10 11.05 11.09 13.25 13.29 9.25 9.25 11.3 10.95 10.65 10.6 10 10.55 9.45 7.1 5. 7.95 12. 12 13.6 12.6 13.3 12.9 12.7 13.35 12.65 13.9 Dom 10.7 11.45 LEVO 12.3 14 11. 11.75 11.2 11.75 10.85 422 12.2 724 12.1 10.75 ZOF 11.05 10.07 10.05 DAF 9.15 DOF 10.05 9.75 45 10.45 Dive 7 9.4 8.55 7 6.7 7.95 9.3 7.75 Se 7.25 2 5.35 3.65 13.65 14.0 12.8 13.95 13.2 13.2 12.55 12:59 13.1 13.1 14.45 12 12 12.1 13.1 12.1 12.1 11.65 12.75 12.5 12.5 144 11.1 ww 11.4 102 10.2 12.15 11.35 10.7 44.6 11.6 442 11.3 44 11 8.9 9.05 8.95 7.1 9.15 7.2 Beam 14.75 14.1 13.65 13.75 14.7 13 13.3 20 12.5 12.7 DE 13.8 19:0 6.75 7.7 5.3 13.6 19.0 13.1 19:1 12.4 12.4 13.8 $19:0 14.55 17.00 12.25 12.20 13.0 12.3 12.3 12.25 14:40 12.45 12:40 11.35 11.35 11.9 11.9 12.65 12.1 10.95 10.85 11.1 8.2 19€ 10.3 19:0 9.9 9.35 9:39 9.5 8.85 www 7.6 7:0 12.7 14.1 13.05 9:00 13.9 19:9 14.6 12.65 2:00 13.85 3:00 13.5 19:9 14.3 Akce 13.1 13.1 12.85 2:00 14.3 14:0 13.2 19:€ 12.3 14:3 12.7 14:1 12.5 14.0 12.4 14:4 12.4 12.9 15.05 12.55 15.05 13.35 14.05 11.7 1.15 11.15 9.9 OF 12.05 128 12.6 44.46 11.15 740 11.2 12.25 12.35 40 FE 10.55 11.6 700 12.2 TOF 10.5 9.4 10.25 75 CE 9.65 7 8.45 7.6 9.3 8.7 15.3 14.45 14.4 14.9 14.35 14.35 14.35 14.35 14.25 14.25 13.85 12.25 13.7 13.7 15 19 13.45 14.55 13.85 12.9 12.95 14.3 14.3 137 13.7 14.65 133 13.3 131 13.1 K Floor 15 14.85 15.2 14.25 13.85 19:00 S 13.6 119.9 13.7 Hom 14.05 14:00 12.7 en 14.05 14:00 13.65 19:09 13.25 19.40 13.25 19.40 13.55 19.99 12.95 12.99 13.55 13.55 13.05 13.09 11.85 11:09 13.2 19:4 11 13.8 13.8 12.25 12.1 12.1 12.1 11.6 11.9 12.05 10.75 19:10 11.2 10.55 11.1 10.45 9.6 13.85 14.25 14.8 14 14.5 13.75 TO 13.55 19:00 12.55 13.2 15.2 13.7 15.1 13.35 20 13.25 20 12.95 14:59 13.4 13.4 13.35 133 13.3 122 12.3 12 EE 13.55 700 12.8 12.4 757 13.1 12.3 700 12.6 12 65 12.65 11.9 405 10.2 12.05 12.05 14:09 11.7 10.4 10.75 2:0 9.8 9.6 Z 10.75 9.75 9.55 9.05 14.65 Spe 14. 15.35 14.6 14.3 14.75 13.65 13.7 13. 14.25 13.8 141 14.1 136 13.6 14 14 14.25 132 13.2 144 13.25 137 13.7 13.15 13.05 12.45 13.45 424 12.4 12.2 13.3 12.75 127 13.7 134 13.4 127 116 11.6 11.6 12.7 42 13 124 12.4 45 11.45 10.2 10 11 10.9 10.35 10.35 9.55 11.75 9.6 11.3 10.25 10.3 10.6 10.9 122 12.2 126 12.6 14.65 11.55 Final Score 59.55 58.65 58.35 56.15 55.95 20:00 54.90 54.40 54.35 54.30 34:00 53.45 09:40 53.35 53.39 53.25 99.29 53.25 99.40 53.10 99.10 52.95 34.90 52.55 34.99 52.15 51.75 50.25 30:40 49.85 49:09 49.70 49.70 49.30 49.30 49.05 49.05 48.35 46.85 45.85 45.05 43.70 10:10 43.65 1410:00 42.30 174.00 40.40 MOTO 39.90 29:00 37.00 37:00 36.45 20:40 25.50 25.05 29:00 55. 99:10 54.85 37:00 54.45 SW.YO 54.35 37.00 54.25 ww.40 53.70 99:10 52.85 04:09 51.85 91:09 51.85 91:09 91:20 50.70 50.35 50.15 50.15 49.40 49.00 49 05 48.95 AD TE 48.75 49 25 48.35 47.25 47.35 ADF 47.25 46. 30 46.70 70.00 46.20 45.75 TE OF 45.65 www 44.15 42 46 43.15 700 40.80 700 40.50 39.40 39.10 Come 38.30 20:00 35.50 20:00 35.40 20.00 32.80 20 58.05 99:09 57.85 31.0 57.70 57.30 56.85 56.85 56.15 56.15 55.80 55.80 55.50 55.50 55.40 55.40 55.05 55.05 54.75 54.75 54 55 54.55 54 45 54.45 54.30 54.30 54.10 54.10 53.70 53.70 53. 30 53.30 52 55 52.55 52 25 52.35 51.50 51.50 51 45 51.45 64 46 51.15 50 55 50.55 50. 35 50.35 40 BE 49.85 40 10 49.10 49 50 48.50 44 75 44.75 44 45 44.45 42.35 41.75 41.35 41.10 40.35 39.70 38.35 M Rank 3 4 5 2 6 = 7 2 8 = 9 10 11 20 12 12 13 19 14 14 15 15 16 19 17 + 18 19 19 19 20 20 21 21 22 22 23 23 24 24 25 26 27 55 20 29 31 32 33 35 36 4 = 3 = 4 = 5 6 = 7 = 8 = 9 = 9 = 11 !! 12 13 14 15 16 16 17 70 18 10 19 20 20 21 20 22 55 23 = 24 7 25 77 26 = 27 7 28 7 29 = 30 = 31 32 33 34 35 36 = = 4 5 5 6 16 7 2 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 22 23 24 24 25 25 26 26 27 27 28 28 29 30 31 32 33 34 35 36
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