1. A recent survey collected a sample of size n in which it asked nurses about their yearly salary. The average yearly salary was determined to be $67,250, and the population standard deviation is known to be $7,804. You want to create a 90% confidence interval with this information, how large must your sample size n be such that your margin of error is $1,500?

2.A double-blind randomized experiment compared the effects of the drug Lorcaserin and a placebo on weight loss in overweight adults. All subjects were also required to undergo diet and exercise counseling. The study involved 1000 participants where half of them would take Lorcaserin and half the placebo. The researchers found that after a year the treatment group had an average weight loss of 5.8 kg while the placebo group had an average weight loss of 3.9 kg. Based on this information researchers need to decide if Locarserin can be a possible treatment for weight loss.

1. What would be a Type I error in this context? Your answer should consist of both theresearchers' decision and what the reality is.
2. What would be a Type II error in this context? Your answer should consist of both theresearchers' decision and what the reality is.