please help with 3 hw questions

Do people walk faster in the airport when they are departing or when they are arriving? Researchers measured the walking speed of 52 departing travelers and 71 arriving travelers at Sacramento International Airport. They found that departing travelers had a mean walking speed of 274 ft/min, and arriving travelers had a mean walking speed of 261 ft/min. The standard deviation was 34 ft/min for departing travelers and 53 ft/min for arriving travelers. a. Construct a 83% confidence interval for the difference in mean walking speed between departing and arriving travelers. Critical value: z, ort. = (Enter the positive one.) Margin of Error: E = Confidence Interval: ( b. Interpret your result in part (a) in a complete sentence. c. Based on your confidence interval, can you conclude that departing travelers walk at a different speed than arriving travlers? O Yes O NoListed below are heights of a random sample of men and women. Men 188.2 167.3 176.8 177.6 173.2 174.6 171.3 174.9 175.5 179.3 Women 160.2 167.9 167.9 153.1 160.7 178.3 169.0 134.0 163.3 172.1 Men Women a. Construct a 96% confidence interval for the difference between the mean heights of men and women. Critical value: z, ort. = 2.2137 (Enter the positive one.) Margin of Error: E = 9.4027 Confidence Interval: ( 3.8173 22.622 b. Interpret your result in part (a) in a complete sentence. confidence interval does not contain zero meaning there is a significant difference between height in men and women c. Based on your confidence interval, can you conclude that the mean height of men differs from the mean height of women? O Yes O NoThe city ofcials in Dallas conducted a simlar study. The commute times {in minutes) of samples of residents from each city is shown below. Click on the data buttons to open the data in a new window. Sacramento Data Dallas Data a. Construct a 96% condence interval for the difference between the mean commute times of Sacramento and Dallas residents. Critical value: 2, or L, = (Enter the positive one.) Margin of Error: E = 2.4399 Condence Interval:( 0.0732 4.9530 ) b. Interpret your result in part (a) in a complete sentence. c. Based on your condence interval, can you conclude that there is a difference between the mean commute times of Sacramento and Dallas residents? Yes No