Definition of central limit theorem:
The Central Limit Theorem states that the sampling distribution of the sampling means approaches a normal distribution as the sample size gets larger — no matter what the shape of the population distribution. This fact holds especially true for sample sizes over 30.
Answer: D) No because the Central Limit Theorem states that regardless of the shape of the underlying? population, the sampling distribution of x? becomes approximately normal as the sample? size, n, increases.
Answer: A) The sampling distribution of x? is normal or approximately normal with µ x? = 32
and ? x?= ?/?n = 8/?78 = 0.9058.
Therefore, if X~N(32,64) then X? ~ N(32,0.8205)
uiz: Chapter 7 Quiz s Question:1 pt 6 of 6 This Quiz: 6 pts pos Asimple...
A simple random sample of size n=74 is obtained from a population with 82 and 8-6 Does the population need to be normally distributed for the sampling distribution of to be approximately normally distributed? Why? What is the sampling distribution of i? Does the population need to be normally distributed for the sampling distribution of to be approximately normally dibuted? Why? O A. No because the Central Limit Theorem states that only if the shape of the underlying population is...
Homework: Q Sampling Distn... CLT Save Score: 0 of 1 pt HW Score: 18.25%, 3.83 of 21 pts 2 of 8 (8 complete) X 8.1.8 Question Help simple random sample of sizen 44 is obtained from a population with u 31 and o approximately normally distributed? Why? What is the sampling distribution of x? 6. Does the population need to be normally distributed for the sampling distribution of x to be Does the population need to be normally distributed for...
A simple random sample of size n = 80 is obtained from a population with u = 55 and 6 = 3. Does the population need to be normally distributed for the sampling distribution of X to be approximately normally distributed? Why? What is the sampling distribution of ? Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? O A. No because the Central Limit Theorem states that regardless...
A simple random sample of size n=74 is obtained from a population with u=67 and 5 = 6. Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? What is the sampling distribution of x? Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? A. Yes because the Central Limit Theorem states that the sampling variability of nonnormal populations...
a simple random sample of size n=72 is obtained from a population with u=82 and o=3. does the population need to be normallt distibuted for the sampling distribution of x to be approximately normaly distibuted? why? what is the sampling distribution of x? A simple random sample of stren72 is obtained from a population with 12 and a = 3. Does the population need to be normally distributed for the sampling distribution of to be approximately omally distributed? Why? What...
A simple random sample of size n 43 is obtained from a population that is skewed left with = 54 and 06. Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? What is the sampling distribution of Does the population need to be normally distributed for the sampling distribution of x to be approximately normally distributed? Why? O A. No. The central limit theorem states that only if the...
A simple random sample of size nequals64 is obtained from a population with muequals43 and sigmaequals8. Does the population need to be normally distributed for the sampling distribution of x overbar to be approximately normally distributed? Why? What is the sampling distribution of x overbar? Does the population need to be normally distributed for the sampling distribution of x overbar to be approximately normally distributed? Why? A. Yes because the Central Limit Theorem states that only for underlying populations that...
A Ost random sample of scene 47 sobined from a population wh81 anders. Does the population need to be Why? What is the sampling debution of x? a buted for the sampling s tones to be app o maly Does the population need to be may distributed for the sampling buton of x to be s ome moral bit Why? A Yes because the Central Theorem at the sampling ability of room s will increases the same names Yes become...
If I has a normal distribution, then 7 always has a normal distribution. True False Under what condition does the sample mean ī not have a normal distribution? Population is not normal but the sample size n > 30. Population is not normal and sample size n <30. Population is normal. The Central Limit Theorem for a sample mean (@) is very important in Statistics because it states that for large sample sizes, the population distribution is approximately normal. for...
This Question: 1 pt 7 of 15 (5 complete) Describe the sampling distribution of . Assume the size of the population is 30,000. n=900, p=0.504 Describe the shape of the sampling distribution of p. Choose the correct answer below. UA. The shape of the sampling distribution of p is approximately normal because ns0.05N and np(1-P) 10. UB. The shape of the sampling distribution of p is not normal because ns 0.05N and np(1-P) 10. UG. The shape of the sampling...