Question

select the tcrit for the following situation: one tail, lower alpha = 0.10 df = 25 -1.3163 -1.7056 -1.7081 -1.3178

Explanation:

Step1: Recall t - critical value rules

For a one - tailed (lower tail) t - test, the critical value \(t_{\text{crit}}\) is the negative of the critical value for a one - tailed (upper tail) test with the same \(\alpha\) and degrees of freedom (\(df\)). The formula to find the t - critical value is based on the t - distribution table or using statistical software. We know that \(\alpha = 0.10\), \(df=25\), and it is a lower - tailed test.

Step2: Use t - distribution table or calculator

We can use the t - distribution table. For a one - tailed test with \(\alpha = 0.10\) and \(df = 25\), the upper - tailed critical value (from t - table or calculator) for \(df = 25\) and \(\alpha=0.10\) (one - tailed) is \(t = 1.3163\). Since it is a lower - tailed test, the critical value \(t_{\text{crit}}=- 1.3163\).

Answer:

-1.3163