which of the following is not a characteristic of the t test?\nchoose the correct answer below.\na. the…
which of the following is not a characteristic of the t test?\nchoose the correct answer below.\na. the student t distribution has the same general bell shape as the standard normal distribution.\nb. the student t distribution has a mean of t = 0 and a standard deviation of s = 1.\nc. the t test is robust against a departure from normality.\nd. the student t distribution is different for different sample sizes.
Answer
Brief Explanations:
- Option A: The Student t - distribution is bell - shaped, similar to the standard normal distribution.
- Option B: The Student t - distribution has a mean of (t = 0), but its standard deviation is (s=\sqrt{\frac{\nu}{\nu - 2}}) ((\nu>2), where (\nu) is the degrees of freedom), not (s = 1) (the standard normal distribution has a standard deviation of (1)).
- Option C: The t - test is relatively robust against non - normality, especially for larger sample sizes.
- Option D: The Student t - distribution changes with different sample sizes (since the degrees of freedom (\nu=n - 1) where (n) is the sample size).
Answer:
B. The Student t distribution has a mean of (t = 0) and a standard deviation of (s = 1)