Statistical tests can be either one or two-sided, and this is important for finding the critical value of a test. Below are three possible null and alternative hypotheses for a single sample mean test. Given the same alpha, each of the three tests would have a different critical value (or values).
Warning Signs of Osteoarthritis. 1  Pain and stiffness in a joint after getting out of bed or sitting for long. 2  Swelling in one or more joints, especially those at the ends of the fingers (closest to the nail), thumbs, neck, lower back, knees, and hips. 3  Crunching feeling or the sound of bone rubbing on bone.
Signs and symptoms of osteoarthritis include: Pain. Your joint may hurt during or after movement. Tenderness. Your joint may feel tender when you apply light pressure to it. Stiffness. Joint stiffness may be most noticeable when you wake up in the morning or after a period of inactivity.