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when sampling from a normal population the standard error tells is about the variability in the population meanTrue or false?
Julie do you have anything else to add on to your question
What else can I help you with?
When the population standard deviation is not known the sampling distribution is a?
If the samples are drawn frm a normal population, when the population standard deviation is unknown and estimated by the sample standard deviation, the sampling distribution of the sample means follow a t-distribution.
What does standard error mean?
Standard error (SE) measures the accuracy with which a sample statistic estimates a population parameter. It quantifies the variability of the sample mean from the true population mean, indicating how much the sample mean is expected to fluctuate due to random sampling. A smaller standard error suggests more precise estimates, while a larger standard error indicates greater variability and less reliability in the sample mean. Essentially, SE helps in understanding the precision of sample estimates in relation to the overall population.
When the population standard deviation is known the sampling distribution is a?
normal distribution
What is the standard error of the sampling distribution equal to when you do not know the population standard deviation?
You calculate the standard error using the data.
What is the sampling distribution when the standard deviation is known?
When the standard deviation of a population is known, the sampling distribution of the sample mean will be normally distributed, regardless of the shape of the population distribution, due to the Central Limit Theorem. The mean of this sampling distribution will be equal to the population mean, while the standard deviation (known as the standard error) will be the population standard deviation divided by the square root of the sample size. This allows for the construction of confidence intervals and hypothesis testing using z-scores.
When the population standard deviation is known the sampling distribution is known as what?
normal distribution
When may the sampling distribution of x̅ be considered to be approximately normal?
the standard deviation of the population(sigma)/square root of sampling mean(n)
What is sampling distribution of the mean?
Thanks to the Central Limit Theorem, the sampling distribution of the mean is Gaussian (normal) whose mean is the population mean and whose standard deviation is the sample standard error.
What is the sampling level?
The sampling level is the size or limit of a population used during a study. This level is used to determine if a particular standard or mandate is being met.
The standard error of the mean is the standard deviation of the sampling distribution of the sample mean?
a large number of samples of size 50 were selected at random from a normal population with mean and variance.The mean and standard error of the sampling distribution of the sample mean were obtain 2500 and 4 respectivly.Find the mean and varince of the population?
If there are three different samples of the same size from a set population is it possible to get three different values for the same statistic?
Yes, it is possible to get three different values for the same statistic from three different samples of the same size taken from the same population. This variation occurs due to sampling variability, where each sample may capture different elements of the population, leading to different outcomes for statistics like the mean, median, or standard deviation. The extent of this variability can depend on factors such as sample size and the inherent characteristics of the population.
What is the distribution of sample means constructed by sampling 5 items from a population of 15?
the standard error will be 1
