please answer 8. thanks u th aipie 1s 8Btained from a population (b) What that i

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please answer 8.
thanks

u th aipie 1s 8Btained from a population (b) What that is not normally distributed, regardless of the sample (c) What size. 6. True or False: To cut the standard error of the mean in half, the sample size must be doubled. (d) What 16. A sim populatio 7, A simple random sample of size n = 10 is obtained from a (a) Desc (b) What (e) What /8. A simple random sample of size n = 40 is obtained from a (d) what population with = 50 and = 4, Does the population need to 17. A sin be normally distributed for the sampling distribution of i to be populatio approximately normally distributed? Why? What is the sampling (a) What popu prob cond (b) Assu satisf (c) Assu satisf 18. A sin populatio population that is normally distributed with = 30 and What is the sampling distribution of x? 8 distribution of x? In Problems 9-12, determine and frorn the given parameters of the population and the sample size 10, = 64, = 18, n = 36 12, = 27, = 6, n = 15 NW 9, = 80, = 14, n = 49 / 11·= 52, = 10, n = 21 13. Answer the following questions for the sampling

Explanation / Answer

No population need not be normal for sample mean to have approximately Normal distribution in case of large sample size (genereally greater than 30).

When the population is Normally distributed then sample mean x- is definately normal. However for a sample mean to be approximately normal populaton may non-Normal as well. The reason lies in the large sample theory. It says that if sample size is sufficiently large then for the given population mean and variance the sample variance is approximately Normal with mean eqal to population mean and variance equal to population variation divided by sample size.

Sampling Distribution of x-

here x- follows approximately Normal with mean=50 and std dev. =4/(40)1/2

Thank You.

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