(Solved): Activity 5 - Cumulative Practice: Using technology, address each of the following questions. Be con ...

Activity 5 - Cumulative Practice: Using technology, address each of the following questions. Be concise but show necessary work/code. 1. A researcher wants to estimate the effectiveness of high-intensity interval training (HIT) for improving the VO2mas (a measure of acrobic fitness) of moderately active individuals. After 10 weeks of HIT training a sample of n = 35 moderately active individuals sawa mean improvement in their VO2mas of 1 = 16.1mm/(kg. min) with a standard deviation 3.2mm/(kg. min). Use this result to estimate the mean VO2mar improvement, M, with 95% confidence of 8 = 2. The local Council of Small Businesses are interested in the proportion of small businesses in their area that have declared Chapter 11 bankruptcy since 2020. The council intends to estimate this proportion using a sample of small businesses. If there are no initial estimate for this proportion, how large of a sample would the council need in order to estimate it, with 95% confidence, to within 10%? 3. A medication used to treat hypertension causes moderate side effects, such as headaches and bloating, in about 12% of patients. It is thought that regular exercise may reduce the prevalence of these sided effects. In a random sample of 209 patients who regularly exercise, 16 experienced moderate side effects from the medication. Would this indicate that exercise is beneficial? Use a significance level of a -0.01.