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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.
When to use z or t-distribution?
If the sample size is large (>30) or the population standard deviation is known, we use the z-distribution.If the sample sie is small and the population standard deviation is unknown, we use the t-distribution
What is probability sampling and non probability sampling?
In probability sampling,every item in the population has a known chance of being selected as a member.In non-probability sampling, the probability that any item in the population will be selected for a sample cannot be determined.
How is frequency distribution useful to us?
I suspect you are referring to a sample frequency distribution.Providing that the sample size is sufficiently large there are various kinds of information that can be gleaned from one:the approximate range of values in the populationthe location of the population as measured by the value that appears most often in the frequency distribution-known as its modethe likely shape of the population's distribution, in particular whether it is symmetric or skewedobviously how values of the population variable are distributedwhether there are any curious peaks or valleys, even when the sample size is largethe amount of variation around the central value
Difference between classification and clustering?
Classification is a type of supervised learning (Background knowledge is known) and Clustering is a type of unsupervised learning(No such knowledge is known).
What is the difference between population survey and sample survey?
A population survey, better known as a census, entails the collection of each unit in the population. In sample survey information is collected from a subset of the population. The subset, or sample, needs to be selected carefully so that it is representative of the whole population and, if that requirement is met, statistics based on the sample are good estimators for the corresponding population parameters.
When testing for differences between two means the sample population are?
You are testing the difference between two means of independent sample and the population variance are not known. from those population you take two samples of two different size n1and n2. what degrees of freedom is appropriate to consider in this case
What is a fundamental difference between the t statistic and a z score?
The fundamental difference between the t statistic and a z score lies in the sample size and the underlying population variance. The t statistic is used when the sample size is small (typically n < 30) and the population variance is unknown, making it more appropriate for estimating the mean of a normally distributed population. In contrast, the z score is used when the sample size is large or when the population variance is known, as it assumes a normal distribution of the sample mean. Consequently, the t distribution is wider and has heavier tails than the z distribution, reflecting greater uncertainty in smaller samples.
What is the difference between an individual a population a community and an ecosystem?
The difference in between an individual, a population, a community, and an ecosystem is and individual (also known as an organism) is only one thing. The difference in between an an organism and a population is a population is multiple organisms. The difference between a population and a community is a group of populations make a community which of course makes a whole ecosystem.
What is the difference between a probability and non- probability sample?
A probability sample is one in which each member of the population has a known, non-zero chance of being selected, allowing for statistical inference and generalization to the larger population. In contrast, a non-probability sample does not provide all individuals in the population with a chance of being included, often relying on subjective judgment or convenience. This can lead to biases and limits the ability to make generalizations about the population. Overall, probability sampling is typically more rigorous and reliable for research purposes.
When the population standard deviation is known the sample distribution is a?
When the population standard deviation is known, the sample distribution is a normal distribution if the sample size is sufficiently large, typically due to the Central Limit Theorem. If the sample size is small and the population from which the sample is drawn is normally distributed, the sample distribution will also be normal. In such cases, statistical inference can be performed using z-scores.
What is the difference between range and spread in mathematics?
In Statistics, the measure of spread tells us how much adata sample is spread out or scattered. We can use the range and the interquartile range (IQR) to measure the spread of a sample. Measures of spread together with measures of location (or central tendency) are important for identifying key features of a sample to better understand the population from which the sample comes from. The range is the difference between a high number and the low number in the samples presented. It represents how spread out or scattered a set of data. It is also known as measures of dispersion or measures of spread.
What is the difference between stratified an random sampling?
In (Simple) random sampling, all of the units in the sample have the same chance of being included in the sample. Units are selected randomly from a population by some random method that gives equal probability to each element. In stratified random sampling, the entire population is divided into heterogeneous sub-popuation known as strata (sub-population with unequal variances) and a random sample is chosen from each of these stratum. The reason when to use which depends on the situation and need of the experimenter.
How can you tell if the population data is related to the sample data?
There are Goodness-of-Fit tests that can be used. The choice of test will depend on what is known about the population and sample data.
What is the reason for zs test?
The Z-test is used to determine if there is a significant difference between the means of two groups or to assess whether a sample mean significantly differs from a known population mean. It is applicable when the population variance is known, and the sample size is large (typically n > 30), allowing for the assumption of normality. The Z-test helps in hypothesis testing by calculating the Z-score, which indicates how many standard deviations a data point is from the mean.
Is z test is parametric?
Yes, the z-test is a parametric statistical test. It assumes that the underlying data follows a normal distribution and requires that the population standard deviation is known. This test is typically used to determine if there is a significant difference between sample and population means or between the means of two samples, making it suitable for normally distributed interval data.
Numerical facts based on research conducted with a sample population are known as?
The answer is Statistics
