A sample of n = 15 students took part in an escape room exercise from which the sample mean and sample standard deviation are 59 and 13 minutes. Based on their own attempts the designers had believed that the time taken would be more than 54 minutes. Does the data contradict this prior belief? Using EXCEL (or otherwise) and assuming normality, test the appropriate hypotheses using a significance level of 0.05 and answer the following: (i) What is the appropriate test pair: A. Ho Ho=54 B. Ho Ho=54 C. Ha Ho #54 H: 54 (Type the associated letter: A, B, or C) (ii) What is the test statistic: places) (iii) What is the associated p-value? places) (iv) What is the critical value for the test statistic? three decimal places) (v) What is your final conclusion? A. Do not reject Ho (Give your answer to three decimal (Give your answer to four decimal B. Reject Ho (Type the associated letter: A, or B) (vi) What is the 95% CI for average escape time by student: Minimum Value: to two decimal points) Maximum Value: (Give your answer to (input your values