13. If we select 100 samples from a same population, then the 100 sample means are typically different. a. True b. False 14. When we investigate the population mean from a sample, we can calculate the sample mean but we never know where the population mean exactly is. a. True b. False 15. When we investigate the population mean from a sample, we figure out a range in which the population mean is likely located. a. True b. False 16. Suppose 95% of confidence interval for the population mean is (14.7, 20.5). It implies that there is ______ of chance the population mean is within that range, and there is _______ of chance the population mean is not in that range. a. 95%, 5% b. 5%, 95%
(13)
a. True. This is because from sample to sample the elements may be different.
(14)
a. True. From sample mean we can estimate the population mean, but we can never know the exact value of population mean .
(15)
It implies that there is 95% of chance the population mean is within that range, and there is 5% of chance the population mean is not in that range.
** If any answer does not match please comment.
13. If we select 100 samples from a same population, then the 100 sample means are...
QUESTION 1 We can create a distribution of sample means by selecting all possible random samples of the same size from the population. a. True b. False QUESTION 3 If you select a sample of size 100 from a population of raw scores and construct a distribution of sample means, what shape will the distribution of samples means have? a. left skewed b. right skewed c. approximately normal d. more information is needed about the shape of the population of...
Assume that population means are to be estimated from the samples described. Use the sample results to approximate the margin of error and 95% confidence interval. Sample size equals =1, 043, sample mean equals =$46, 198, sample standard deviation equals = $26,000
you select two independent random samples from populations with means u1 and u2. suppose the sample mean for population 1 is 25 and σ1=3 and the sample mean for population is 20 and σ2=4. the 95% confidence interval for u1-u2 is (4.02,5.98). what common sample size, n, was used to obtain this interval?
True or False. The mean of a sample will never be exactly the same as the mean of the population from which the sample was taken.
We draw a random sample of size 100 from a population with standard deviation 5. If the sample mean is 36, what is a 95% confidence interval for the population mean? Select one: [35.1775, 36.8225] b. [35.02,36.98] c. [34.712, 37.288] d. [35.17, 36.83)
a) Suppose you collect a SRS of size n from a population and from the data collected you computed a 95% confidence interval for the mean of the population. Which of the following would produce a new confidence interval with larger width (larger margin of error) based on these same data? A. Use a larger confidence level. B. Use a smaller confidence level. C. Nothing can guarantee absolutely that you will get a larger interval. One can only say the...
You take a sample of 30 items and obtain a sample mean of 15 and a sample standard deviation of 5 Construct a 95% confidence interval about the mean Construct a 99% confidence interval about the mean If I took 100 different samples of 30 items from a given population and obtained 100 different sample means and standard deviations and formed 100 90% confidence intervals, then about how many of the confidence intervals formed from these...
True or false? Every random sample of the same size from a given population will produce exactly the same confidence interval for μ. Group of answer choices True. Different random samples may produce different x values, resulting in different confidence intervals. False. Different random samples may produce different x values, resulting in the same confidence intervals. False. Different random samples may produce different x values, resulting in different confidence intervals. True. Different random samples will produce the same x values,...
Suppose we examined samples of size n = 50 from the population of Basic Statistics classes that I have taught at AU. Suppose that the sample mean is equal to 6.42 hours, and the population standard deviation is 6.72 hours. a. Suppose I gather 100 SRS of size 50, and I calculate 100 95% confidence intervals in the usual way. About how many of these would contain the population mean?
Suppose samples of size 100 are drawn randomly from a population that has a mean of 20 and a standard deviation of 5. What is the probability of observing a sample mean equal to or greater than 20.5? 0.1587 0.8384 0.9192 0.1634 0.4192