Question

.When students apply for graduate studies (i.e. at the master’s or doctoral level), they are required to submit an official copy of their transcript, mailed directly from the Registrar’s Office at their academic institution. The customer service division of the Registrar’s Office at a large Canadian university is interested in determining if they are more than 25% faster at processing transcripts than another university in the area, which can process transcripts in 16 business hours. The customer service manager obtains a random sample of 10 waiting times (in business hours), which are provided below. 11 12 18 20 23 15 10 12 13 14

a. Conduct an appropriate hypothesis test. Use the critical value method. Use a population standard deviation of 2 hours. [9 marks] HINT: You will first have to determine what it means to be 25% faster, in terms of hours. Have a look at Lecture 2 Example 7.3 for ideas on how to get started.

Answer 1

According to the claim, customer service division can do it in 16 - (16*0.25) = 12 business hours.

So, we can say that there is insufficient evidence to support the customer service manager's claim.