Question
MATH 1342 21420 Homework: Section 92-The Central Limit Theorem for Sample M Score: 0 of 1 pt 9.2.13 10 of 15 (7 complete) HN Score: 4667%, 7011 The average income in a certain region in 2013 was $67,000 per person per year. Suppose the standard deviation is $32 000 and the distribution is nght-eet Suppose we take a random sample of 100 residents of the region a ls the sample size large enough to use the Central Limit Theorem for means? Explain. b What are the mean and standard error of the sampling distribut c. What is the probability that the sample mean will be more than $3.200 away from the population mean? 0 A. B. Yes, t is large enough because the sample size of 100 is greater than 25 No, it is not large enough because the sample size of 100 is less than 250 No, its not large enough because the sample size of 100 is not greater than 10% of the population O c. 0 D. Yes, it is large enough because the population standard deviation of 32,000 is larger than the sample size of 100 to select your answer and then c
Explanation / Answer
The sample is large enough to use Central Limit Theorem for Means. Thus, the correct answer for this problem is A).
That is,
A) Yes, it is large enough because the sample size of 100 is greater than 25.
