In: Statistics and Probability
To calculate a t-statistic for a specific sample, what information is needed about the population from which the sample was obtained?
Group of answer choices
the value for µ
the value of N
the value of Ơ
Solution:
Answer is
the value for µ
Explanation:
For testing the population mean µ , there are two options
z test for mean and t test for mean
When the population standard deviation is known , we use z test.
When it is unknown , we use t test. In t test , we use sample standard deviation.
The test statistic t is given by
t =
where is sample mean , s is standard deviation , n is sample size , is hypothetical mean value.
(note that denotes the sample size , N denotes population size)
So , answer is
the value for µ