A small university was looking to recruit students for their golf program during Freshman orientation. Each organization would be allotted 10 minutes to give a small presentation about their program. The golf coach wants to discuss the programs golf over the past five years during his presentation. To do this, he plans to take samples of the scores from both practice rounds and games. He has recruited students from Statistics class to help him determine which statistic would be best to use to display the scores. The students have narrowed it down to four different statistics. For each statistic, the coach has taken 100 random samples of golf scores over the past five years and the statistic is calculated for each sample. Suppose the value for the population parameter he is trying to estimate is a score of 75. ALL GRAPHS ARE IN THE ATTACHED PICTURE!! THANK YOU!! a) For each graph above, identify whether the statistic appears to have a biased or unbiased estimator of the population parameter. How can you tell? b) Which graph has the smallest variability? How can you tell? c) The coach has narrowed it down to either statistic A or B. Which one would be the best estimator of the parameter? Explain.
A small university was looking to recruit students for their golf program during Freshman orientation. Each organization would be allotted 10 minutes to give a small presentation about their program. The golf coach wants to discuss the programs golf over the past five years during his presentation. To do this, he plans to take samples of the scores from both practice rounds and games. He has recruited students from Statistics class to help him determine which statistic would be best to use to display the scores. The students have narrowed it down to four different statistics. For each statistic, the coach has taken 100 random samples of golf scores over the past five years and the statistic is calculated for each sample. Suppose the value for the population parameter he is trying to estimate is a score of 75.
ALL GRAPHS ARE IN THE ATTACHED PICTURE!! THANK YOU!!
a) For each graph above, identify whether the statistic appears to have a biased or unbiased estimator of the population parameter. How can you tell?
b) Which graph has the smallest variability? How can you tell?
c) The coach has narrowed it down to either statistic A or B. Which one would be the best estimator of the parameter? Explain.
d) The coach worries he made the incorrect decision and is now deciding between either statistic C or D. Which one would be the best estimator of the parameter? Explain.
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