Question

When testing mu or the difference of means mu₁ minus mu₂ from independent populations, how do we decide whether to use the standard normal distribution or a Student’s t distribution?

Answer 1

Answer :

• As the sample size (and in this manner the degrees of opportunity) expands, the t dissemination approaches the ringer state of the standard typical conveyance.
• Practically speaking, for tests including the mean of an example of size more noteworthy than 30, the ordinary dissemination is typically connected.
• Understudy's t-test, in measurements, a technique for testing speculations about the mean of a little example drawn from a typically conveyed populace when the populace standard deviation is obscure.
• In the event that the x dissemination is typical and n ≥ 30 with known σ we utilize the standard normal