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. A To-do6 Assignment name: sampl distr. C xAnswered: At a large corporation X+A apclassroom.collegeboard.org/33/assessments/assignments/32758682ABPCollegeBoardAP Classroomsampl distr. CI meansElias Hernandez10111213(232930< 29 of 30 >Question 29 AThe 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 ?SubmitABoth will be skewed to the right, and the mean for size 50 will be closer to 26.8 than the mean for size 4.вBoth will be skewed to the right, and the standard deviation for size 50 willI be closer to 4.2 than the standard deviation for size 4.Both will be approximately normal, and the mean for size 50 will be closer to 26.8 than the mean for size 4.DOnly the sampling distribution for size 4 will be approximately normal, and the standard deviation for both will be 4.2.EOnly the sampling distribution for size 50 will be approximately normal, and the mean for both will be 26.8.Q

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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.

A To-do
6 Assignment name: sampl distr. C x
Answered: At a large corporation X
+
A apclassroom.collegeboard.org/33/assessments/assignments/32758682
ABP
CollegeBoard
AP Classroom
sampl distr. CI means
Elias Hernandez
10
11
12
13
(23
29
30
< 29 of 30 >
Question 29 A
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 ?
Submit
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.
в
Both will be skewed to the right, and the standard deviation for size 50 willI be closer to 4.2 than the standard deviation for size 4.
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.
Q

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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