1. According to a study, average time women spends on household chores such as cooking, cleaning, taking care of children, home maintenance and other unpaid work is more than men. A random sample of 50 women between the ages of 31 and 46 is selected and the average time they spent on household chores in a week is 21.3 hours with the standard deviation of 4.6 hours. A sample of 50 men between the ages of 31 and 46 is selected and the average time they spent on household chores in a week is 17.6 hours with the standard deviation of 5.7 hours. At = 0.01, is there enough evidence to support the claim. Use the p - value approach.

2. A nutritionist wishes to determine, within 5%, the true proportion of adults who skip breakfast. If he wishes his estimate to be 99% confident that it contains the population proportion, how large a sample will be necessary? A previous study found that out of 152 people surveyed, 32 said they skip breakfast.