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Interview Room: Can Student’s t-test be used when n ≥ 30?

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Objective: To check if t-test tends to z-test when n ≥ 30

Scenario: To determine if the mean hours of watching TV is 28.5 or not at 5% Level of Significance

Ho: μ hours of watching TV= 28.5

H1: μ hours of watching TV≠ 28.5

  • Sample size ≥ 30

From the above tables

  • z value: 1.96
  • t value: 2.0096

The z and t values are very close to each other

The test statistic (2.76) is > 1.96 ( z-value) and > 2.01 ( t-value) . The null hypothesis is rejected

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Shyama Maria Kurian

A data science novice. To me, raw data are jigsaw puzzle pieces that I enjoy putting together.