Standard Deviation of Sample MeansFill in the blank.Suppose the population standard deviation is given to you. Now, if you increase your sample size, then the sample mean distribution plot will ____Become widerBecome narrowerRemain the sameChange unpredictably

According to the Central Limit Theorem, as the sample size increases, the standard deviation of the sampling distribution of the sample means will:a.Increaseb.Decreasec.Remain the samed.Cannot be detremined

As the size of the sample increases, what happens to the shape of the sampling means?

Suppose we are planning on taking a simple random sample from a population. If we double the sample size, then the standard deviation of the sample means will change by a factor of:Group of answer choices √ 21/ √ 2 21/ 2won't change at all

According to the Central Limit Theorem, the sampling distribution of the sample mean becomes approximately normally distributed asthe standard error increasesthe population variance decreasesthe size of the population increasesthe number of  samples drawn increasesthe size of the sample increases

For confidence interval estimates, which of the following statements is FALSEGroup of answer choicesincreasing the sample size decreases the width of the confidence intervalusing a sample standard deviation instead of the population standard deviation always results in a wider confidence intervalthe width of the confidence interval increases as we demand more confidencea 95% confidence interval for the mean (with population standard deviation known) will be narrower than a 99% confidence interval