Step 1 :The problem is asking for the critical value(s) for a right-tailed test with a significance level of 0.10. Since it's a right-tailed test, there will be only one critical value. The critical value is the z-score that corresponds to the given significance level. We can find this value from the z-table or calculate it.
Step 2 :The critical value is calculated to be approximately 1.2815515655446004.
Step 3 :Therefore, there is one critical value; The critical value is \(\boxed{1.28}\).