1. The population mean annual salary for schoolteachers in Pennsylvania is $66,000. A sample mean annual salary of schoolteachers in Pittsburg is $67,500. Assume the Pittsburg results are based on a sample of 70 teachers and the population standard deviation is $6,800. Formulate the null and alternative hypotheses that can be used to determine whether the sample data support the claim that teachers in Pittsburg have a higher mean salary than the teachers in the State of Pennsylvania.

What is the p-value and the rejection rule?

What is your conclusion with a 0.06 significance level?

Is the Claim valid?