Question 4Someone makes the following assertion: if the sample becomes larger, then the standard deviation becomes smaller. Which of the following statements is correct?1 pointThis assertion does not apply to any distribution. This assertion always applies to all distributions. This assertion always applies to the sample distribution and the sampling distribution. This assertion always applies to the sampling distribution.

Which of the following statements is CORRECT about the standard deviation?*1 pointa. The smaller the standard deviation, the more spread the scores are.b. The larger the standard deviation, the less spread the scores are.c. It is a measure of central tendency.d. The larger the standard deviation, the more spread the scores are.

Suppose we take repeated random samples of size 20 from a population with a mean of 60 and a standard deviation of 8. Which of the following statements is true about the sampling distribution of the sample mean (x̄)? Check all that apply. The distribution is normal regardless of the shape of the population distribution, because the sample size is large enough. The distribution will be normal as long as the population distribution is normal. The distribution's mean is the same as the population mean 60. The distribution's standard deviation is larger than the population standard deviation of 8.

Which of the following statements about the sampling distribution of the sample mean, x-bar, is true? Check all that apply. The distribution is normal regardless of the shape of the population distribution, as long as the sample size, n, is large enough. The distribution is normal regardless of the sample size, as long as the population distribution is normal. The distribution's mean is the same as the population mean. The distribution's standard deviation is smaller than the population standard deviation.

A social scientist wishes to conduct a survey. She plans to ask a yes/no question to a random sample from the U.S. adult population. One proposal is to select 100 people; another proposal is to select 900 people.Which one of the following is true regarding the standard deviation of the sampling distribution of the sample proportion, p̂, of "yes" responses?Group of answer choicesThe standard deviation of the sampling distribution will be the same for both sample sizes.The standard deviation of the sampling distribution will be 3 times larger with sample size 100.The standard deviation of the sampling distribution will be 9 times smaller with sample size 100.The standard deviation of the sampling distribution will be 9 times larger with sample size 100.The standard deviation of the sampling distribution will be 3 times smaller with sample size 100.

Which of the following statements is true?Group of answer choicesThe sum of the deviations from each value in a data set to the mean, is always zero.The sum of the squared deviations from the mean is always zero.The standard deviation is in squared units.The standard deviation is always greater than the variance.