Answer
We know that increasing the n value or sample size, decreases the standard deviation
because we know that the standard deviation is given as
So, as we increase the n value, standard deviation decreases and when we decrease the n value, the standard deviation increases.
We know that the population mean is always at the center of the distribution, so when the standard deviation decreases, we move closer to the population mean.
This means that when n value increases, standard deviation decreases, which moves us closer to the population mean.
So, option D is correct answer
24. and the sampling distribution of the mean will have relatively As sample size increases, σ...
Please ignore the circled answers. I am checking my results. a)2.45 b).2 02 4) 2.95 ) 025 23- /What is the effect of choosing a larger sample size for the sampling distribution? mean increases, standard deviation unchanged b) mean decreases, standaed deviation unchanged c) mean unchanged, standard deviation increases d) mean unchanged, standaed deviation decrases e) no effect As sample size increases little dispersion resulting in sample means falling relatively a) increases, far from b) decreases far from e) increases,...
12. Using the letters in "BANANA", since there are 3 As, and 2 Ns, the number of different arrangements of the letters is: a) 30 c) 120 d)720 e) none of these 13. You decide to watch 4 shows. If there are 8 shows from which to choose, then in how you select the 4 shows you will watch? 70 c) 256 d) 1680 ) none of these c) 1.5 c) 1.5 14. Find the mean of a binomial distribution...
18. Find the area under the normal curve between z--1.25 and z-1.0 a) .7486 19. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 15, find the proportion of scores less than 88 a) .3173 20. Same as above except find the proportion of scores greater than I standard deviation from the mean. a) .3173 21. Consider a university with a population mean GPA of 2.95, a standard deviation of.2, and a sampling...
12. Using the letters arrangements of the letters is: a) 30 in "BANANA", since there are 3 As, and 2 Ns, the number of different or distinct 13. You decide to watch 4 shows. If there are 8 shows from which to choose, then in how many ways can you select the 4 shows you will watch? a) 32 14. Find the mean of a binomial distibution where n 4 and 15. Find the standard deviation of a binomial distribution...
23. What is the effect of choosing a larger sample size for the sampling distribution? a mean increases, standard deviation unchanged b) mean decreases, standard c) mean unchanged, standard deviation increases d) mean unchanged, standard deviation decreases e) no effect
A population has a mean μ=73 and a standard deviation σ=24. Find the mean and standard deviation of a sampling distribution of sample means with sample size n=64.
47. What happens to the mean and standard deviation of the distribution of sample means as the size of the sample decreases? A) The mean of the sample means stays constant and the standard error decreases. B) The mean of the sample means increases and the standard error stays. C) The mean of the sample means decreases and the standard error increases. D) The mean of the sample means stays constant and the standard error increases. 48. Find the critical value ze that corresponds to...
Which of the following is a true statement for any population with mean μ and standard deviation σ? I. The distribution of sample means for sample size n will have a mean of μ. II. The distribution of sample means for sample size n will have a standard deviation of. III. The distribution of sample means will approach a normal distribution as n approaches infinity.
According to the central limit theorem, Multiple Choice O sample size is important when the population is not normally distributed Increasing the sample size decreases the dispersion of the sampling distribution the sampling distribution of the sample means is uniform O sample size is important when the population is not normally distributed Increasing the sample size decreases the dispersion of the sampling distribution the sampling distribution of the sample means is uniform the sampling distribution of the sample means will...
A random sample of size 36 is to be selected from a population that has a mean μ = 50 and a standard deviation σ of 10. * a. This sample of 36 has a mean value of , which belongs to a sampling distribution. Find the shape of this sampling distribution. * b. Find the mean of this sampling distribution. * c. Find the standard error of this sampling distribution. * d. What is the...