Please solve and provide t-score and p-value. Please also provide an interpretation, thank you.

Researchers wanted to determine if carpeted rooms contained more bacteria than uncarpeted rooms. To determine the amount of bacteria in a room, researchers pumped air from each room over a Petri dish at the rate of 1 cubic foot per minute for twenty-five random carpeted rooms and twenty-five random uncarpeted rooms. Colonies of bacteria were allowed to form in the 50 Petri dishes and results are given below. Carpeted Rooms (bacteria/cubic foot) Uncarpeted Rooms (bacteria/cubic foot) ac =11.2 a =9.79 S = 2.68 S = 3.21 n = 25 n = 25 (a) Hypothesize, Null hypothesis: /1 Alternative hypothesis: /1 (b) Prepare, CLT: 1. random (check) 2. Large sample, show calculations: 3. Large population (check) (c) Compute to compare, show calculator test name and