The mean age of all 2531 students at a small college is 22.8 years with a standard deviation of 3.7 years, and the distribution is right-skewed. A random sample of 3 students' ages is obtained, and the mean is 23.2 with a standard deviation 3.2 years. Complete parts (a) through (c) below. u= 22.8 o = 3.7 x= 23.2 s= 3.2 (Type integers or decimals. Do not round) b. Is u a parameter or a statistic? The value of u is a parameter because it is found from the population. c. Are the conditions for using the CLT (Central Limit Theorem) fulfilled? Select all that apply. O A. No, because the big population condition is not satisfied O B. No, because the random sample and independence condition is not satisfied. O c. No, because the large sample condition is not satisfied O D. Yes, all the conditions for using the CLT are fulfilled. What would be the shape of the approximate sampling distribution many means, each from a sample of 3 students? O Right-skewed Left-skewed Normal The shape cannot be determined.

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The mean age of all 2531 students at a small college is 22.8 years with a standard deviation of 3.7 years, and the distribution is right-skewed. A random sample of 3 students' ages is obtained, and the mean is 23.2 with a standard deviation of
3.2 years. Complete parts (a) through (c) below.
µ =22.8
o = 3.7
X = 23.2
s= 3.2
(Type integers or decimals. Do not round)
b. Is u a parameter or a statistic?
The value of µ is a parameter because it is found from the population.
c. Are the conditions for using the CLT (Central Limit Theorem) fulfilled? Select all that apply.
A. No, because the big population condition is not satisfied
B. No, because the random sample and independence condition is not satisfied.
C. No, because the large sample condition is not satisfied
O D. Yes, all the conditions for using the CLT are fulfilled.
What would be the shape of the approximate sampling distribution of many means, each from a sample of 3 students?
Right-skewed
Left-skewed
Normal
The shape cannot be determined.
Transcribed Image Text:The mean age of all 2531 students at a small college is 22.8 years with a standard deviation of 3.7 years, and the distribution is right-skewed. A random sample of 3 students' ages is obtained, and the mean is 23.2 with a standard deviation of 3.2 years. Complete parts (a) through (c) below. µ =22.8 o = 3.7 X = 23.2 s= 3.2 (Type integers or decimals. Do not round) b. Is u a parameter or a statistic? The value of µ is a parameter because it is found from the population. c. Are the conditions for using the CLT (Central Limit Theorem) fulfilled? Select all that apply. A. No, because the big population condition is not satisfied B. No, because the random sample and independence condition is not satisfied. C. No, because the large sample condition is not satisfied O D. Yes, all the conditions for using the CLT are fulfilled. What would be the shape of the approximate sampling distribution of many means, each from a sample of 3 students? Right-skewed Left-skewed Normal The shape cannot be determined.
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