Good evening, I have some questions that need answers please.

1.)

Construct the 95% confidence interval for the difference \"'1 :1.2 when 361 2 471.03, E = 319.23, 312 38.37, 32 = 3U.49, r11 =1], and n2 =14. Use the TI-84 Plus calculator and round the answers to two decimal places. A 95% condence interval for the difference in the population means is D 0 0=0 H1 : H1 H2 This is a (Choose one) test. right-tailed two-tailed X 5 left-tailedLow-fat or Iowcarb? Are lowfat diets or low-carb diets more effective for weight loss? A sample of 31 subjects went on a low- carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.9 kilograms with a sample standard deviation of 7.53 kilograms. A second sample of 83 subjects went on a lowfat diet. Their sample mean weight loss was 2.7 kilograms with a standard deviation of 6.20 kilograms. Can you conclude that the mean weight loss differs between the two diets? Let p1 denote the mean weight lost on the lowcarb diet and p2 denote the mean weight lost on the lowfat diet. Use the a: 0.1 level and the "IT84 Plus calculator. Part: 0 I 4 Part 1 of4 State the appropriate null and alternate hypotheses. EIi:i EI=E| H1:B This hypothesis test is 3 (Choose one) 'I' test. lefttailed righttailed twotai led Cholesterol: An article in the Archives of Internal Medicine reported that in a sample of 244 men, 58 had elevated total cholesterol levels (more than 200 milligrams per deciliter). In a sample of 205 women, 51 had elevated cholesterol levels. Can you conclude that the proportion of men with elevated cholesterol levels is less than the proportion of women with elevated cholesterol levels? Let p, denote the proportion of men with elevated cholesterol levels and p, denote the proportion of women with elevated cholesterol levels. Use the a = 0.01 level of significance and the P-value method with the TI-84 Plus calculator. Part: 0 / 4 Part 1 of 4 State the null and alternate hypotheses. Ho 00 0=0 H1: 0#0 P1 P2 This hypothesis test is a (Choose one) test. X 5 right-tailed left-tailed two-tailedSatisfied? A 2010 poll asked people of a certain region whether they were satisfied with their financial situation. A total of 343 out of 827 people said they were satisfied. The same question was asked in 2012, and 298 out of 1157 people said they were satisfied. Part: 0 / 2 Part 1 of 2 (a) Construct an 80% confidence interval for the difference between the proportions of adults who said they were satisfied in 2012 and 2010. Let p, denote the proportion of adults who said they were satisfied in 2010 and let p, denote the proportion of adults who said they were satisfied in 2012. Use the TI-84 Plus calculator and round the answers to three decimal places. An 80% confidence interval for the difference between the proportions of adults who said they were satisfied in 2012 and 2010 is