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.
Symptoms of osteoarthritis. The main symptoms of osteoarthritis are pain and stiffness in your joints, which can make it difficult to move the affected joints and do certain activities.ther symptoms you or your doctor may notice include: 1  joint tenderness. 2  increased pain and stiffness when you have not moved your joints for a while. 3  joints appearing slightly larger or more 'knobbly' than usual. 4  a grating or crackling sound or sensation in your joints.