Please help with hw questions

Listed below are heights of a random sample of men and women. Men 187.3 166.8 176.0 176.9 174.7 176.1 169.6 175.7 175.5 178.0 Women 160.6 168.5 167.5 154.1 159.9 177.0 170.1 135.5 162.6 171.7 Men Women a. Construct a 96% confidence interval for the difference between the mean heights of men and women. Critical value: z, ort. = 2.289 Enter the positive one.) Margin of Error: E = 9.2868 Confidence Interval: ( 3.6232 22.196 b. Interpret your result in part (a) in a complete sentence. we are 968 confidence interval for the difference between the mean heights of men and women lies between 3. 6232 and 22. 196 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 officials 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 94% confidence interval for the difference between the mean commute times of Sacramento and Dallas residents. Critical value: z, ort. = 4.0907 (Enter the positive one.) Margin of Error: E = 1.8808 Confidence Interval: ( 2.9615 8.0025 b. Interpret your result in part (a) in a complete sentence. As the confidence interval doesn't contain zero, we can conclude that commute times of Sacramento residents is higher than that of Dallas residents c. Based on your confidence interval, can you conclude that there is a difference between the mean commute times of Sacramento and Dallas residents.? O Yes O No