Over 1,200 bull riders from around the world are members of Professional Bull Ri

Question

Over 1,200 bull riders from around the world are members of Professional Bull Riders (PBR) and compete in the more than 300 PBR affiliated bull riding events per year. This data set includes information about the top 50 ranked bull riders for the 2013, according to the PBR standings reported in July of 2013. Rankings are based on a system which awards points for qualified rides at events throughout the season. The average American adult man weighs 190 pounds. Below we will answer the question: Do professional bull riders from the US weigh the same as the American adult males? 1. Which variable tells us how much the rider weighs? The variable name in the dataset is:____________________

2. What will the null hypothesis and alternative hypothesis look like for this one-sample t-test?

(i) Null Hypothesis: _________________________

(ii) Alternative Hypothesis: ____________________

3. Report the following sample statistics for the US bull-rider weights.

(i) Sample mean ________________________

(ii) Sample Standard Deviation __________________

4. Report the one-sample t test results:___________

5. Report the p-value: ___________

6. Using 5% level of significance, what is your decision about the null hypothesis based on the results of the one sample t-test?

(i) Reject

(ii) Do Not reject

7. What is your conclusion?

(i) It appears that the bull-riders actually weigh more than the average American man.

(ii) It appears that the bull riders actually weight less than the average American mane.

8. Report the 95% confidence interval for the mean weight:

(i) LCL:______________

(ii) UCL:_______________

The file is massive...

(top left)

(top right)

1 Ride Rank15 Country YearBorn Height Weight YearsPr Eventsi4 Buckou Rides14 Cup Points Rankl RidePeri4 RIdesPer 45b Rides90 Winsi4 Top5_14 Top10 14 Final Point Earning51 Events 13 Buckouts Ridesi 1 BRA 93 0.4409 1152.75 328121 oao Rica 1984 66 163 41 9520.25 100 Matt Tripl 2 USA 1991 67 160 4 28 86 33 7493.58 3 0,3837 0.2 2 o 4 11 2743.25 258025.8 9 26 1 Maun 3 USA 1987 70 140 10 22 63 25 4973.5 4 0.3968 0.5 4 2 5 455 3.5 497598 26 90 4 0 32977.83 3 83.5 774 26.3 24 66 2 7 Valdiron 29 5733.06 17 0 142892.5 Guilherme 7 BRA 1982 70 180 16 28 90 8501.06 8 0.4556 0 2 1 6 15 86 271530.7 27 84 3 9 Silvano Al 8 BRA 1987 67 150 7 28 92 50 9004.06 1 0.5435 0.3333 1 o 7 12 3607 1422603 27 91 50 10 Reese Cat 9 USA 1989 68 135 9 12 30 8 1228.5 54 0.2667 0 1 2 0 129 48.98 11 26 11 J.w. Harri 10 USA 1986 160 10 14 37 16 3123.25 9 0.4324 0.2 2 o 2 4 3736 224455 0 0 12 stets on La 11 USA 1988 155 8 12 33 9 3530.54 29 0.2727 0 0 0 1 4 338.7 1021277 9 18 13 Mike Lee 12 USA 1983 68 140 14 26 77 32 8086.81 7 0.4156 0 0 2 7 9 548.5 242432.1 27 80 2. 14 Fabiano v 13 BRA 1982 68 175 9 26 77 42 9008.62 5 0.5455 o 1 3 8 11 286.5 264592.7 16 47 2 15 Cody Nani 14 USA 1987 68 162 9 28 84 30 6551.62 10 0.3571 0.125 3 5 9 297 186943.8 27 83 3. 17 Cooper Da 0 36741.93 18 Tanner By 17 CAN 1992 76 160 4 15 42 21 4642.04 14 0.5 0 0 4 5 1683.5 148664.8 0 0 19 Shane Pro 19 USA 1985 68 165 10 1 3 1 136.75 0.3333 0 0 0 0 0 1000 21 66 2 389 127841.7 1 884.37 56 0 19200.41. 22 Gage Gay 22 USA 1994 66 145 3 24 75 25 6551.37 11 0.3333 o 2 1 4 9 212.7 183000 1 2 4

Explanation / Answer

1)      Variable Weight

2)      H0: = 190   H1: ¹ 190

3)      1) Sample mean=153.8276 2) Sample Std Dev=14.03272

4)      tSTAT=X-µ/S/n=153.8276-190/14.03272/50=-18.22

5)      0.00001

6)      Critical value is +-2.0096 and tSTAT is -18.22. Hence, reject the null hypothesis as tSTAT falls in the rejection region.

7)      (ii) It appears that the bull riders actually weight less than the average American man.

8)      LCL=153.8276-(2.0096)*14.03272/50=149.8376

UCL=153.8276+(2.0096)*14.03272/50=157.8176

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