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Hai mẫu với cỡ mẫu đều là 20 được lấy ra từ hai tổng thể độc lập có phân phối chuẩn với phương sai bằng nhau. Mẫu thứ nhất có trung bình là 43,5 và độ lệch tiêu chuẩn là 4,1 trong khi mẫu thứ hai có trung bình là 40,1 và độ lệch tiêu chuẩn là 3,2. Một nhà nghiên cứu muốn kiểm định liệu có sự khác biệt giữa hai giá trị trung bình của hai tổng thể chung hay không với mức ý nghĩa 0,05.Giả thuyết không là:
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