Question

The range of test statistic t is:

a.

0 to infinity

b.

0 to 1

c.

-1 to +1

d.

–ve infinity to +ve infinity​

Answer 1

Explanation:

d)-v infinity to +ve infinity

Answer 2

The range of test statistic t is: –ve infinity to +ve infinity​

Hence option (d) is the correct answer to the question.

Explanation:

The t-test is a statistical test in which the test statistic follows a Student's t-distribution under the null hypothesis. It is most commonly applied when the test statistic would follow a normal distribution if the value of a scaling term in the test statistic were known.

Just like the, standard normal distribution curve the shape of the student distribution is also bell-shaped and symmetrical with mean zero.

Hence we can say that the student distribution ranges from –∞ to ∞ (infinity). The shape of the t-distribution changes with the change in the degrees of freedom.