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      • For f (x) that contains the properties of being continuous, positive, and decreasing for x ≥ no and for the sequence a n to being able to converge, an Upper Bound and Lower Bound exists that act as a remainder. The remainder value represents the error when approximating the infinite summation of a n to the nth partial sum.
      www.statisticshowto.com/integral-test-remainder-estimate/
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  2. Jul 5, 2024 · A test statistic assesses how consistent your sample data are with the null hypothesis in a hypothesis test. Test statistic calculations take your sample data and boil them down to a single number that quantifies how much your sample diverges from the null hypothesis.

  3. Integral Test Remainder. For f (x) that contains the properties of being continuous, positive, and decreasing for x ≥ no and for the sequence a n to being able to converge, an Upper Bound and Lower Bound exists that act as a remainder.

  4. The alternating series test is a simple test we can use to find out whether or not an alternating series converges (settles on a certain number). Basically, if the following things are true, then the series passes the test and shows convergence: The terms decrease in absolute value,

  5. Mar 17, 2022 · A test statistic is a standardized score used in hypothesis testing. It tells you how likely the results obtained from your sample data are under the assumption that the null hypothesis is true. The more unlikely your results are under this assumption, the easier it becomes to reject the null hypothesis in favor of an alternative hypothesis.

  6. A hypothesis, in statistics, is a statement about a population parameter, where this statement typically is represented by some specific numerical value. In testing a hypothesis, we use a method where we gather data in an effort to gather evidence about the hypothesis.

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