Asimple random sample of 100 postal employees is used to test if the average time postal employees have worked for the postal service has changed from the value of 7.5 years recorded 20 years ago. the sample mean was x = 7 years with a standard deviation of s = 2 years. assume the distribution of the time the employees have worked for the postal service is approximately normal. the hypotheses being tested are h0: μ = 7.5, ha: μ ≠ 7.5. a one-sample t test will be used. what are the appropriate degrees of freedom for this test?

Acompany is developing a new high­performance wax for cross country ski racing. in order to justify the price marketingwants, the wax needs to be very fast. specifically, the mean time to finish their standard test course should be less thanseconds for a former olympic champion. to test it, the champion will ski the course 8 times. the champion's times(selected at random) are 59.9 61.9 48.8 52.2 46.6 45.3 50.6 and 41.1 seconds to complete the test course. complete parts a and b below.a) should they market the wax? assume the assumptions and conditions for appropriate hypothesis testing are metfor the sample.assume=0.05. what are the null and alternative hypotheses? choose the correct answer below.b) suppose they decide not to market the wax after the test, but it turns out that the wax really does lower the champion'saverage time to less thanseconds. what kind of error have they made? explain the impact to the company of such anerror.

Do a swot analysis for the business idea you chose in question 2 above. describe at least 2 strengths, 2 weaknesses, 2 opportunities, and 2 threats for that company idea.

Almeda products, inc., uses a job-order costing system. the company's inventory balances on april 1, the start of its fiscal year, were as follows: