PROBABILITY AND STATISTICS

# đź†• T-Table To Solve Statistics Problems

Method Of Finding Value from T-Table

1. For a study involving one population and a sample size of 18 (assuming you have aÂ t-distribution), what row of theÂ t-table will you use to find the right-tail (â€śgreater thanâ€ť) probability affiliated with the study results?

The study involving one population and a sample size of 18 hasÂ nÂ â€“ 1 = 18 â€“ 1 = 17 degrees of freedom.

2. For a study involving a paired design with a total of 44 observations, with the results assuming aÂ t-distribution, what row of the table will you use to find the probability affiliated with the study results?

A matched-pairs design with 44 total observations has 22 pairs. The degrees of freedom is one less than the number of pairs:Â nÂ â€“ 1 = 22 â€“ 1 = 21.

3. AÂ t-value of 2.35, from aÂ t-distribution with 14 degrees of freedom, has an upper-tail (â€śgreater thanâ€ť) probability between which two values on theÂ t-table?

Using theÂ t-table, locate the row with 14 degrees of freedom and look for 2.35. However, this exact value doesnâ€™t lie in this row, so look for the values on either side of it: 2.14479 and 2.62449. The upper-tail probabilities appear in the column headings; the column heading for 2.14479 is 0.025, and the column heading for 2.62449 is 0.01.

Hence, the upper-tail probability for aÂ t-value of 2.35 must lie between 0.025 and 0.01.

### Ashok Nath

Ashok Nath is an Author in Surajchand99.com.np and is pursuing Bachelor's Degree In Computer Engineering From Nepal College Of Information Technology (NCIT) Pokhara University Nepal.