The mean annual salary for the population of schoolteachers in Colorado is $57,100. A sample mean annual salary of school teachers in Boulder is $55,750. Assume the Boulder results are based on a sample of 97 teachers, and the population standard deviation is $6,220. Formulate the null and alternative hypotheses that can be used to test the claim that teachers in Boulder have the same mean salary as teachers in the State of Colorado. Use = 0.04

State the null and alternative hypotheses and perform Hypothesis Test.

What is the Rejection rule?

What is the p-value?

What is your conclusion?

Is the claim valid? Why or Why not?