Ill. Zagat's published restaurant rating for various locations in the United States. The file (Table 1 restaurant) contains the Zagat rating for food, decorate, costs per person for a sample of 30 restaurants located city and 30 restaurants located in suburb. (25 point) (City="1", Suburban ="2") Table 1 restaurant Location Food Decorate Cost City 21 3 20 City 21 25 City 15 2 28 City 20 3 36 City 21 2 38 City 24 2 41 City 18 43 City 20 44 City 22 44 NOWNWON City 23 44 City 22 47 City 19 48 City 21 48 City 22 50 City 25 55 City 24 57 Suburban 20 27 Suburban 18 2 32 Suburban 20 3 33 Suburban 19 36 Suburban 19 45 Suburban 24 2 47 Suburban 23 48 Suburban 21 48 Suburban 20 35 Suburban| 24 65 Suburban 25 2 67 Suburban 19 58 Suburban 23 3 62 Suburban 22 2 58 a. At the 0.05 level the significance, is there evidence that the variances of cost difference between City and Suburban ? b. At the 0.05 level the significance, is there evidence that the mean cost difference between City and Suburban? c. Construct a 95% confidence interval estimate of the difference in mean cost between City and Suburban