Help with this problem please! I would like an explanation on the answer. The distribution of age for players of a certain professional sport is strongly skewed to the right with mean 26.8 years and standard deviation 4.2 years. Consider a random sample of 4 players and a different random sample of 50 players from the population. Which of the following statements is true about the sampling distributions of the sample mean ages for samples of size 4 and samples of size 50. A) Both will be skewed to the right, and the mean for size 50 will be closer to 26.8 than the mean for size 4. B) Both will be skewed to the right, and the standard deviation for size 50 will be closer to 4.2 than the standard deviation for size 4. C) Both will be approximately normal, and the mean for size 50 will be closer to 26.8 than the mean for size 4. D) Only the sampling distribution for size 4 will be approximately normal, and the standard deviation for both will be 4.2. E) Only the sampling distribution for size 50 will be approximately normal, and the mean for both will be 26.8
Help with this problem please! I would like an explanation on the answer.
The distribution of age for players of a certain professional sport is strongly skewed to the right with mean 26.8 years and standard deviation 4.2 years. Consider a random sample of 4 players and a different random sample of 50 players from the population.
Which of the following statements is true about the sampling distributions of the sample mean ages for
A) Both will be skewed to the right, and the mean for size 50 will be closer to 26.8 than the mean for size 4.
B) Both will be skewed to the right, and the standard deviation for size 50 will be closer to 4.2 than the standard deviation for size 4.
C) Both will be approximately normal, and the mean for size 50 will be closer to 26.8 than the mean for size 4.
D) Only the sampling distribution for size 4 will be approximately normal, and the standard deviation for both will be 4.2.
E) Only the sampling distribution for size 50 will be approximately normal, and the mean for both will be 26.8.
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