A study is being carried out to compare mean daily calcium intake between sixty-year old adults with osteoporosis and those without it. If we assume daily calcium intake is approximately normal with a SD=223 for osteoporosis and SD=476 for normal group, how many 60 year old adults should we sample in each group in order to have an 80% chance of detecting a significant difference in daily calcium intake of at least 117 with an alpha of 0.05. If we sample 63 six year old adults in each group what is the probability of detecting a significant difference in daily calcium intake of at least 182 with an alpha of 0.05.