For questions that ask you to conduct an appropriate hypothesis test, please state all of the following: 1) Hypotheses 2) Critical value 3] Rejection rule 4) Test statistic [and p-value if required by the question] 5) Decision 6] Conclusion [one sentence interpretation]l Show calculations where possible. Use a = 0.05. Round your answers to 3 decimal places. For other questions, please answer in one sentence. Problem 1: When students apply for graduate studies [i.e. at the master's or doctoral level], they are required to submit an ofcial copy of their transcript, mailed directly from the Registrar's Office at their academic institution. The customer service division of the Registrar's Ofce at a large Canadian university is interested in determining if they are faster at processing transcripts than another university in the area, which can process transcripts in 14 business hours. The customer service manager obtains a random sample of 10 waiting times [in business hours], which are provided below. a] Conduct an appropriate hypothesis test. Use both critical value and p-value methods. Use a population standard deviation of 2 hours. [6 marks] b] Explain what a Type [ Error means in this context [1 mark] c) Construct and interpret the 95% condence interval for the mean transcript processing time. [3 marks |