Question
In: Statistics and Probability
What is the critical t-value for each of the following scenarios use (t-distribution and assume “gold...
What is the critical t-value for each of the following scenarios use (t-distribution and assume “gold standard” p-value; each blank worth 1 point):
a. N = 43, one-tailed Independent Samples t-test --> Critical t-value is __________.
If calculated t = 2.00, what is your decision regarding the null: __________.
b. N = 35, two-tailed Paired Samples t-test --> Critical t-value is __________.
If calculated t = 2.00, what is your decision regarding the null: __________.
Solutions
Expert Solution
Since the level of significance is unavailable , I assume it as 95%. then the critical values are calculated using the T-table shown below at respective degree of freedoms.
a. N = 43, one-tailed Independent Samples t-test --> Critical t-value is -1.68 if it is a ledt tail test, and + 1.68 if it is a right tailed test.
Now if calculated t = 2.00, the if the test is right tailed test then Reject The null hypothesis.
and if Left tailed test then fail to reject,.
b.N = 35, two-tailed Paired Samples t-test --> Critical t-value is 2.03
If calculated t = 2.00, the failed to reject the null hypothesis , since The Calculated T < t critical.
T table:
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