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Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A sampling distribution is normal only if the population is normal. Choose the correct answer below. A. The statement is false. A sampling distribution is normal only if n2 30. B. The statement is true. O C. The statement is false. A sampling distribution is never normal. O D. The statement is false. A sampling distribution is normal if either n2 30 or the population is normal.

Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A sampling distribution is normal only if the population is normal. Choose the correct answer below. A. The statement is false. A sampling distribution is normal only if n2 30. B. The statement is true. O C. The statement is false. A sampling distribution is never normal. O D. The statement is false. A sampling distribution is normal if either n2 30 or the population is normal.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 20PFA
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Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A sampling distribution is normal only if the population is normal. Choose the correct answer below. A. The statement is false. A sampling distribution is normal only if n2 30. B. The statement is true. O C. The statement is false. A sampling distribution is never normal. O D. The statement is false. A sampling distribution is normal if either n2 30 or the population is normal.
Transcribed Image Text:Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A sampling distribution is normal only if the population is normal. Choose the correct answer below. A. The statement is false. A sampling distribution is normal only if n2 30. B. The statement is true. O C. The statement is false. A sampling distribution is never normal. O D. The statement is false. A sampling distribution is normal if either n2 30 or the population is normal.
Expert Solution
Step 1

Definition of Sampling distribution:

If X have any distribution and sample size is sufficiently large (i.e  n ≥30 ) then distribution of X¯ is approximately normal with sample mean and standard deviation is σn.

i.e  X¯ ~ N (  μ , σn)

 

 

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