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We use Student’s t distribution when creating confidence intervals for the mean when the population standard...

We use Student’s t distribution when creating confidence intervals for the mean when the population standard deviation is unknown because....

We are estimating two parameters from the data and wish to have a wider confidence interval

The central limit theorem does not apply in this case

We do not want a confidence interval that is symmetric about the sample mean

We have greater certainty of our estimate

Math   Statistics-And-Probability   
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We use student's t distribution when creating confidence interval for the mean when the population standard deviation is unknown because..... in interval estimation we have greater certainty of our estimate other than point estimation.

  • when we use confidence interval method our target is to take the shortest confidence interval for accurate result.
  • student T test does not violate the rules of central limit theorem
  • for the large number of sample the student t distribution follow the normal distribution symmetrically with confidence interval
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