Test whetherMu p is greater than 6 minutes. Clearly state your hypotheses and use a significance level ofalpha=5%

Recently, Janine has been enjoying playing sudoku puzzles on her phone. She thinks she has become quite proficient and regularly completes pro-level sudoku puzzles in a short amount of time. Janine believes that the time (in minutes) it takes her to complete a pro-level sudoku puzzle is normally distributed with unknown mean #1? and known variance 012, = 13404. That is, she is comfortable assuming that the variance of the times is known but she is uncertain of the mean time. Janine selected a random sample of 9 pro-level sudoku puzzles that she had completed and the times (in minutes) taken to complete the puzzles are listed below. Times (Pro) 5.9 6.3 6.1 5.9 5.1 6.1 7.6 8.8 7.6