Which of the following is not a characteristic of the t test?


This Question: 1 pt Which of the following is not a characteristic of the t test? Choose the correct answer below. A. The Student t distribution has a mean of t0 and a standard deviation of s -1. O B. The Student t distribution is different for different sample sizes. O c. The O D. The Student t distribution has the same general bell shape as the standard normal distribution t test is robust against a departure from normality

Answer

The student t distribution has mean of t is equal to zero and standard of s is equal to 1. this statement is false. For a normal distribution with mean equal to 0 and standard deviation equal to 1, it is known as standard normal variate. The standard normal variate is denoted by Z. Properties of t-distribution:

  • The mean of the distribution is equal to 0.
  • Variance = v /( v -2), where v is the degrees of freedom and v > 2

For a large sample size, the t distribution tends to normal. t-distribution has a bell-shaped curve.

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