1:
The interval corresponding to one standard deviation of mean is
The interval corresponding to 2 standard deviations of mean is
The interval corresponding to 3 standard deviations of mean is
Following is the graph:
2:
Following is the distribution with marked location:
3:
For n=9:
The standard error of mean is
For n=36:
The standard error of mean is
4:
For n=9:
For n=36:
5:
For n=9:
For n=36:
URULLIY Worksheet 7: Sampling distribution of the Mean Using sampling distributions to answer questions about probability...
Discrete Probability Distributions, Continuous Probability Distri- butions, and Sampling Distributions (100 points) 1. Does each of the following tables represent a probability distribution? Explain why or why not. For those that represent a probability distribution, calculate the mean and variance of the variable r. a f(x) 0.5 0.25 0.25 f(x) 0.4 0.4 0.4 0.2 ( X 1 2 3 4 C) f(x) 0.5 0.3 0.3 -0.1
5. Sampling distributions, problem 2 Suppose that the population mean of grade points equals 3.5 out of 5.0 and the standard deviation is 0.5. Your sample size is 1 The mean of the sampling distribution of the sample mean is mean of the standardized distribution is Aa Aa and the standard deviation is while the and the corresponding standard deviation is If, on the other hand, the population mean of grade points equals 3.5 out of 5.0, the standard deviation...
7 SAMPLING DISTRIBUTIONS (31) Sampling distributions describe the behaviour of population parameters in repeated sam pling (1) True. (2) False (32) Which of the following statements concerning sampling is false? (1) The Central Limit Theorem is very important for statistical inference. (2) The standard error of an estimator is the standard deviation of a statistic. (3) Regardless of the sample size n, if the population distribution is normal then the sampling distribution of will be exactly normal. (4) If the...
6. Sampling distributions, problem 3 Aa Aa Suppose that the population mean of firm size in Urbana-Champaign is 25 employees and the standard deviation is 5. Your sample size is 1. The mean of the sampling distribution of the sample mean is and the standard deviation is while the mean of the standardized distribution is and the corresponding standard deviation is Now suppose the parameters of the population are the same, but your sample size is 100. The mean of...
(1 point) The distribution of IQ scores can be modeled by a normal distribution with mean 100 and standard deviation 15. (a) Let x be a person's IQ score. Write the formula for the density function of IQ scores. p(x) = (b) Estimate the fraction of the population with IQ between 80 and 85. fraction =
6. Sampling distributions, problem 3 Aa Aa Suppose that the population mean of firm size in Urbana-Champaign is 25 employees and the standard deviation is 5. Your sample size is 1. The mean of the sampling distribution of the sample mean is the mean of the standardized distribution is and the standard deviation is while and the corresponding standard deviation is Now suppose the parameters of the population are the same, but your sample size is 100. The mean of...
Homework: 6-3 Sampling Distributions & Estimators Score: 0 of 1 pt 6.3.11 Save 4 of 11 (10 complete) HW Score: 72 7396, 8 of 11 pts EQuestion Help The assets (in billions of dollars) of the four wealthiest replacement from this population of four values people in a particular county are 44.29, 28, 18 Assume that samples of size n 2 are randomly selected with a. Ater identlying the 16 different possible samples and finding In the table, values of...
1) the distribution and histogram of individual penny dates for the entire class (this will be our population), Math/BSAD 2170 Sampling Distributions and Central Limit Theorem 2) the distribution and histogram of the means from samples of 5 pennies (this is called a sampling distribution with n 5), 3) the distribution and histogram of the means from samples of 10 pennies (a sampling distribution with n 10), and 4) the distribution and histogram of the means of each sample of...
7. The standard deviation of the mean for the sampling distribution of random samples of size n-36 from a large (or infinite) population is 2. How large must the sample size be to decrease the standard deviation to 1.2?
Sampling Distributions For Questions 6 - 8, let the random variable X follow a Normal distribution with variance σ2 = 625. Q6. A random sample of n = 50 is obtained with a sample mean, X-Bar of 180. What is the probability that population mean μ is greater than 190? a. What is Z-Score for μ greater than 190 ==> b. P[Z > Z-Score] ==> Q7. What is the probability that μ is between 198 and 211? a. What is...