1)The normal model N (58, 21) describes the distribution of weights of chicken eggs in grams. Suppose that the weight of a randomly selected chicken...

1)The normal model N (58, 21) describes the distribution of weights of chicken eggs in grams. Suppose that the weight of a randomly selected chicken egg has a z score of 1.78. What is the weight of this egg in grams? Round to the nearest hundredth of a gram.2)In the United States, of the approximately 2.5 million deaths from all causes, an estimated 300,000 deaths are associated with obesity. Approximately 60% of obese Americans are women and about 40% are men. If obesity were listed as a separate cause it would be the 3rd leading cause of death behind heart disease and cancer. As a result, both money and time are spent searching for solutions to obesity. An American company seeking U.S. government approval for its new weight loss drug must perform an experiment before it can legally sell its product. Suppose it is known that men and women are physiologically different and react differently to medication. So 500 obese volunteers (average age was 47 years) were first separated by gender (there were 191 male subjects, 309 female subjects) then the subjects were randomly assigned to either the treatment or a placebo. The experiment lasted 10 weeks and 8 nurses were involved in its administration, neither the nurses nor the subjects knew if they were receiving the placebo or the actual weight loss drug. A table was created to document the distribution of the volunteers: When the experiment was completed, it was discovered that the Placebo group Females lost an average of 5 lbs, the Weight Loss Group Females lost an average of 7 lbs.a)