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Use the accompanying paired data consisting of registered boats​ (tens of​ thousands) and manatee fatalities from...

Use the accompanying paired data consisting of registered boats​ (tens of​ thousands) and manatee fatalities from boat encounters. Let x represent the number of registered boats and let y represent the corresponding number of manatee deaths. Use the given number of registered boats and the given confidence level to construct a prediction interval estimate of manatee deaths. Use x=89 (for 89​0,000 registered​ boats) with a 99​% confidence level.

Boats (tens of thousands)   Manatees
67    54
68    37
66    34
73    49
74    40
70    59
76    56
82    67
83    84
83    80
90    82
91    94
95   74
93   69
97   78
99   93
97   73
98   91
98   97
91   81
90   87
90   82
89   73
90   7

Find the indicated prediction interval.

___manatees < y < manatees

​(Round to three decimal places as​ needed.)

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