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11 GAS-3 Sayson, Alex Joseph N. Comic Strip

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11 GAS-3 Sayson, Alex Joseph N. Comic Strip
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  • How do I compute the test value in the hypothesis setting?
  • There are 3 ways to know, and or the first 2 it depends on whether you know what the population variance is.
  • If the population variance is known, z-test is always used. If n is greater than or equal to 30, z-test must also always be used.
  • If n30, z-test will only be used if the population standard deviation is known.
  • On the other hand, if n30 and population standard deviation is unknown then you must use the t-test.
  • Are there other ways to compute the test value?
  • There is also a third way, it is called the Central Limit Theorem.
  • Unlike the other methods, Central Limit Theorem may be used even if the population is not normally or nearly normally distributed.
  • Does the sample size need to be large?
  • Yes. It does not apply if the if the sample size is small. This is because there must be a stricter assumption on the population to give the test validity
  • So if n is greater than or equal to 30, then z-test will be used. And if n30 then it will be determined on whether the population standard deviation is known.
  • If it is known, z-test will be used. If it is not, then t-test will be used.
  • As long as the sample size is large enough, Central Limit Theorem can be used.
  • It is mostly used, however, if the population is not evenly distributed.
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