Pga Golf: Is Sunday Made For Tv Case Study Solution
Q2: Are scores different across the four rounds?
An Anova test is conducted for determining if there is a difference among scores, across the four rounds. For this purpose H0 is taken as:scores across all rounds are equal,and H1 is taken as: at least scores of two rounds are different. The mean and variances of all four rounds are: means70.1733841, 70.21387443, 71.3314974, and 71.72797782;and variances2.839928593, 3.252414112, 3.699913206, and 3.480860417, respectively. The calculation shows the values in the t-test show that the p-value is less than 0.05; therefore, H0is not significant, which is why we accept H1.Therefore, at least the scores of the two rounds are different.(See Appendix 2).
Q3:Are young people doing better than those who are older?
A two-sample t-test is conducted for determining if young players perform better than older players. For this purpose H0 is taken as:Young and Old people have the same scores,and H1 is taken as:scores of young people are greater than the scores of old people. The mean and variances of all old and young people are: means44.53906507and 31.12520133,and variances14.15153808and24.24434395. The calculation shows the values in the t-test as:a p-value of two-tail is less than 0.05; therefore, H0is not significant, based on which we accept H1. Therefore, the scores of young people are greater than the older people’s scores.(See Appendix 3). The assumptions taken for the calculation are: young players with the age less than forty years, are 69 and older players with age above forty, are 201.
Q4:Do long hitters have lower scores?
A two-sample t-test is conducted for determining if long hitters have lower scores. For this purpose H0 is taken as:short hitters and the long hitters have the same score,and H1 is taken as:long hitters have lower scores than the short hitters. The mean and variances of all short and long hittersare: means277.2291469and 284.5201699, and variances7.193626022and13.76887706. The calculation shows the values in the t-test as: the p-value of two-tail is less than 0.05, therefore, H0is not significant, based on which we accept H1. Therefore, long hitters have lower scores than the short hitters.(See Appendix 4).
Q5:How important is driving accuracy in determining one’s score?
Driving accuracy is very important in determining one's score because inaccuracy tends to change the result of the hypothesis. In my opinion, accuracy depends on the age of the golfer and the type of hole. These are the two parameters which are very important to be considered, for determining the driving accuracy.
Q6: Do people putt for dough and drive for the show?
In my opinion, the players lose more strokes because of bad drives as compared to bad putts. For example; there are three-putts and with each putt, there will be one extra stroke and with each bad drive,you’re lucky to limit it to only one extra stroke.
Appendices
Appendix-1: t-Test: Two-Sample Assuming Equal Variances
Are scores different from the first day to the last day? | |
Ho: Round 1 Score the same as Round 4 Score. | |
H1: Round 1 Score not same as Round 4 Score | |
Round1Score | Round4Score | |
Mean | 70.1733841 | 71.72797782 |
Variance | 2.839928593 | 3.480860417 |
Observations | 270 | 270 |
Pooled Variance | 3.160394505 | |
Hypothesized Mean Difference | 0 | |
df | 538 | |
t Stat | -10.1604547 | |
P(T<=t) one-tail | 0.0000000000 | |
t Critical one-tail | 1.647690825 | |
P(T<=t) two-tail | 2.64044E-22 | |
t Critical two-tail | 1.964383179 | |
t-Test: Paired Two Sample for Means | ||
Round1Score | Round4Score | |
Mean | 70.1733841 | 71.72797782 |
Variance | 2.839928593 | 3.480860417 |
Observations | 270 | 270 |
Pearson Correlation | 0.098524319 | |
Hypothesized Mean Difference | 0 | |
df | 269 | |
t Stat | -10.69827717 | |
P(T<=t) one-tail | 8.64693E-23 | |
t Critical one-tail | 1.650537873 | |
P(T<=t) two-tail | 1.72939E-22 | |
t Critical two-tail | 1.968821974 |
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