View the step-by-step solution to:

# Horse Racing Is there a stelaetluetic}r between the starting gate pcsiticn acid whether ahcrse finishes in &quot;litst place&quot;?

Horse Racing

Is there a dependency between the starting gate position and whether a horse finishes in "first place"? If so, which gate(s) are most likely to produce a winner?

The following data represents the starting gate positions and how the horses finished in terms of Win (first place), Place (second place), or Show (third place) in one year at

1. a. Fill in the following table.
2. b. Test for Independence between if a horse wins or does not win and starting gate position. Show all the steps outlined in the lecture notes. Include the table and graph.
3. If a Dependency exists between if a horse wins or does not win and starting gate position, find 95% confidence intervals for the proportion of winning for each gate. You can just write the intervals, no work is needed.

Gate

1

2

3

4

5

6

7

8

9

Win

149

185

123

161

133

135

135

50

11

Place

162

227

180

202

158

112

80

52

13

Show

145

188

203

193

139

120

102

80

20

Total Starts

889

889

889

889

889

889

867

440

92

Gate

1

2

3

4

5

6

7

8

9

Win

149

Not Win

740

Gate

95% confidence interval

1

2

3

4

5

6

7

8

9

3. We want to determine which starting position is most probable to produce a winner.

1. Which gate interval has the largest lower limit?
2. Which gate intervals overlap this interval?
3. Test if the proportions of wins from each of the gates with overlapping intervals are equal to the proportion of wins from the gate from your answer to part (a). Do separate complete hypothesis tests for each using methods from the lecture notes.

4. Conclusion: Which gate(s) are more likely to produce a winner? Explain.

Horse Racing
Is there a stelaetluﬂetic}r between the starting gate pcsiticn acid
whether ahcrse finishes in &quot;litst place&quot;?r Ifsc. which gatets}
are mast hitch.r ti:- pu‘oduce a wittner’! The rehearing cats represents the shhtihg gate pesiticcs and heat the hcrses ﬁnished in terms at&quot;
Win (ﬁtstplsceﬁt. Place [second plates}. chhcra- [third place} in one year at .m Gilli“ —uﬂuuﬂﬂnuu
“Elﬁn-”III
”&quot;IEEIEEIEEIIEI
“WEE“
—-----IEEIEIEIIEEI 1. a. Filtictl'iefcllcwingtshle. mnnnnnﬂ-nlzl
EEE-Ilﬂ--------
Net will --------- h. Test fer Independence between its herse wins at clees not win and starting gate pcsiticn.
Shaw all the steps cutlihed in the lecture nctest Include the table ahdgraph. 2. It's Decanter-cg exists hetiimh ifahctse wins or does not win and starting gate pesiticti. ﬁnal
95‘!”- cehﬁiiehce intervals the the prep-artists at winning the ash gate. ‘i'cu can just write the
intervals. as work is nailed. m Baas conﬁdence interim]
_— 3- We want tc detenhine which starting pcsiticrn is mcst prchahle cc prcduce a taint-er.
a. Tt‘i'hich gate interval has the largest Egg limit? 1:. Which gste intervals with this interval? c. Test it'the prepei'tichs cf wins frcth each cf the gstes with siren-lapping intervals are equal
tc the prcpcrticit statics E‘s-111 the gate item yew answer ts part {a}- De separate cctttplete
hypnﬂresis tests ﬁst each using methods item the lecture states 4. Cericlcsich: Which gatets} are were likely tc prcduce s isinner”? Explain.

### Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

### -

Educational Resources
• ### -

Study Documents

Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

Browse Documents