An employment information service claims the mean annual salary for home care physical therapists is more than $80,000. The annual salaries (in dollars) for a random sample of 12 home care physical therapists are shown in the table at the left. At α = 0.10, is there enough evidence to support the claim that the mean salary is more than $80,000?

(a) Identify the claim and state H₀ and H_a, 

(b) Find the critical value(s) and identify the rejection region(s), 

(c) Find the standardized test statistic t, 

(d) Decide whether to reject or fail to reject the null hypothesis, and 

(e) Interpret the decision in the context of the original claim. Assume the population is normally distributed.

Transcribed Image Text:

Annual salaries 89,245 86,013 83,151 69,771 87,834 67,964 76,523 90,268 90,440 93,538 76,999 68,257