Problem 1 50,000 women followed Atkin's diet for a month. Thirty women were randomly selected and asked about their increased weights, and the data were recorded in Fweight.csv. Studies have shown that following Atkin's diet can increase the average weight of women by 5 pounds. Please check the reliability of the study. The standard deviation for all women in this group was 7.1. Ho : M =5 vs. H1 : p # 5 Z-test: XF = 5.476017 1 - stats.norm.cdf (5 + .476017,5, 7.1/(30**.5)) + stats.norm.cdf(5 - .476017,5, 7.1/(30**.5)) P = 0.713455921449246 Null hypothesis (Ho) is true because p-value is large (close to 1) Problem 2 50,000 women followed Atkin's diet for a month. Thirty women were randomly selected and asked about their increased weights, and the data were recorded in Fweight.csv. Studies have shown that following Atkin's diet can increase the average weight of women by 5 pounds. Please check the reliability of the study. Ho : M =5 vs. H1 : p#5 T-test: teststat = abs(5.476017 - 5)/(7.076786/(30**.5)) pval = stats.t.cdf(teststat, df=30-1) P = 0.6423832262539702 Null hypothesis (Ho) is true because p-value is large (close to 1)