A variable of a population has a mean of u = 82 and a standard deviation of o = 9. a. Identify the sampling distribution of the sample mean for samples of size 81. b. In answering part (a), what assumptions did you make about the distribution of the variable? c. Can you answer part (a) if the sample size is 25 instead of 81? Why or why not? a. What is the shape of the sampling distribution? normal uniform skewed bimodal What is the mean of the sampling distribution? H; = (Simplify your answer.) What is the standard deviation of the sampling distribution? (Simplify your answer.) b. In answering part (a), what assumptions did you make about the distribution of the variäble? O A. It was assumed that the variable was normally distributed. O B. No assumptions were made because, for a relatively large sample size, the sampling distribution is normal, regardless of the distribution of the variable under consideratic

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A variable of a population has a mean of µ = 82 and a standard deviation of o = 9.
a. Identify the sampling distribution of the sample mean for samples of size 81.
b. In answering part (a), what assumptions did you make about the distribution of the variable?
c. Can you answer part (a) if the sample size is 25 instead of 81? Why or why not?
a. What is the shape of the sampling distribution?
normal
uniform
skewed
O bimodal
What is the mean of the sampling distribution?
Hi = (Simplify your answer.)
What is the standard deviation of the sampling distribution?
(Simplify your answer.)
b. In answering part (a), what assumptions did you make about the distribution of the variable?
A. It was assumed that the variable was normally distributed.
B. No assumptions were made because, for a relatively large sample size, the sampling distribution is normal, regardless of the distribution of the variable under consideratio
Transcribed Image Text:A variable of a population has a mean of µ = 82 and a standard deviation of o = 9. a. Identify the sampling distribution of the sample mean for samples of size 81. b. In answering part (a), what assumptions did you make about the distribution of the variable? c. Can you answer part (a) if the sample size is 25 instead of 81? Why or why not? a. What is the shape of the sampling distribution? normal uniform skewed O bimodal What is the mean of the sampling distribution? Hi = (Simplify your answer.) What is the standard deviation of the sampling distribution? (Simplify your answer.) b. In answering part (a), what assumptions did you make about the distribution of the variable? A. It was assumed that the variable was normally distributed. B. No assumptions were made because, for a relatively large sample size, the sampling distribution is normal, regardless of the distribution of the variable under consideratio
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