The campaign staff for a state legislator wants to determine whether the legislator's performance rating \((0-100)\) has changed from last year to this year. The table below shows the legislator's performance ratings from the same 16 randomly selected voters for last year and this year. At \(\alpha=0.01\), is there enough evidence to conclude that the legislator's performance rating has changed? Assume the performance ratings are normally distributed.

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1 2 3 4 45 6 7 60 Voter Rating (last year) 60 Rating (this year) 56 00 54 78 84 91 25 50 65 99 48 70 70 60 60 85 40 40 40 40 55 55 10 Voter 9 10 Rating (last year) 68 81 Rating (this year) 11 12 13 14 15 16 75 45 62 79 58 63 50 80 75 78 50 50 85 53 60