As the sample size n increases, the shape of the distribution of the sample means taken...
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.
(2 Points) A random sample of size n = 25 is taken from a population with mean u = 530 and standard deviation o = 100. Then the sampling distribution of the sample mean X has normal distribution with mean 530 and standard deviation 20 has normal distribution with mean 530 and standard deviation 100 has normal distribution with mean 530 and standard deviation 2 has normal distribution with mean 530 and standard deviation 4
Pg 417 6.47 For a hypothesis test H0: p = 0.3 Ha: p < 0.3 a random sample of size n 200 is taken and the sample proportion p = 0.21 (a) Determine whether it is appropriate to use the normal distribution to estimate the p-value. (b) If it is appropriate to use a normal distribution, complete the test for a significance level of 5% Pg 418 6.55 Home Field in Baseball 2009 There were 2430 Major League Baseball games played in 2009, and the home team won the...
A random sample of size n = 21, taken from a normal population with a standard deviation 04 =5, has a mean X4 = 90. A second random sample of size n2 = 37, taken from a different normal population with a standard deviation o2 = 4, has a mean X2 = 39. Find a 94% confidence interval for 11 - H2 Click here to view page 1 of the standard normal distribution table. Click here to view page 2...
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 true about the sampling distribution of means? Shape of the sampling distribution of means is always the same shape as the population distribution, no matter what the sample size is. Sampling distribution of the mean is always right skewed since means cannot be smaller than 0. Sampling distributions of means are always nearly normal. Sampling distributions of means get closer to normality as the sample size increases.
1) Random samples of size n were selected from populations with the means and variances given here. Find the mean and standard deviation of the sampling distribution of the sample mean in each case. (Round your answers to four decimal places.) (a) n = 16, μ = 14, σ2 = 9 μ=σ= (b) n = 100, μ = 9, σ2 = 4 μ=σ= (c) n = 10, μ = 118, σ2 = 1 μ=σ= 3) A random sample of size...
please show work 1) The distribution of sample means (for a specific sample size) consists of a. All the scores contained in the sample x b. All the scores contained in the population x C. All the samples means that could be obtained (for the specific sample size) d. The specific sample mean computed for the sample of scores 2) A sample of n=25 scores is determined to have a standard error of 2 points. What is the standard deviation...
As sample size increases, the shape of t-distribution ______. is more similar in shape to the normal z-distribution. is flatter and more spread out than the normal z-distribution. is taller and narrower than the normal z-distribution. cannot be specified, making hypothesis tests impossible.
If selecting samples of size n≤30 from a population with a known mean and standard deviation, what requirement, if any, must be satisfied in order to assume that the distribution of the sample means is a normal distribution? A) The population must have a normal distribution. B) The population must have a mean of 1. C) The population must have a standard deviation of 1. D) None; the distribution of sample means will be approximately normal.