When is a t-test preferred over a z-test in statistical analysis?*1 pointWhen the sample size is smallWhen dealing with categorical dataWhen comparing three or more groupsWhen the population standard deviation is known
Question
When is a t-test preferred over a z-test in statistical analysis?*1 pointWhen the sample size is smallWhen dealing with categorical dataWhen comparing three or more groupsWhen the population standard deviation is known
Solution
A t-test is preferred over a z-test in statistical analysis when the sample size is small. This is because when the sample size is small, the sample may not follow a normal distribution. In such cases, a t-test, which does not assume that the data follows a normal distribution, can provide a more accurate analysis. On the other hand, a z-test assumes that the data follows a normal distribution, and therefore may not provide an accurate analysis when the sample size is small.
Similar Questions
One difference between conducting a z-test and a t-test is that in the former... the population mean is known the variance is twice as big the population variance is known the standard deviation is half as big
When do we use z test?when nominal data is givenWhen n is greater than or equal to 30When ordinal data is givenWhen n < 30
If we have a sample size of 15 and the population standard deviation is known, we will use: t- test for hypothesis testing z-test for hypothesis testing both t and z test F Test
What does the z-test assess in statistical analysis?*1 pointDifference between sample and population meanCorrelation between two variablesVariance within a single sampleEquality of sample sizes
When is the z-statistic used to estimate the population mean?a.When the population standard deviation is knownb.When the population standard deviation is unknownc.When the sample size is smalld.When the sample size is large
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