Test whether there is a significant difference in the average miles per gallon performance (mpg) between the automatic transmission cars and the manual transmission cars. Use a 0.5 level of significance. (Manual=1 auto=0)

Car mpg cyl disp hp drat wt gsec VS am gear carb maker Mazda RX4 21 6 160 1 10 3.9 2.62 16.46 1 4 4 Japan C Mazda RX4 Wag 21 160 1 10 3.9 2.875 17.02 4 Japan Datsun 710 22.8 108 93 3.85 2.32 18.61 1 Japan Hornet 4 Drive 21.4 6 258 110 3.08 3.215 19.44 1 USA Hornet Sportabout 18.7 Co 360 175 3.15 3.44 17.02 2 USA Chrysler Valiant 18.1 225 105 2.76 3.46 20.22 AAAWWWWAR 1 USA Duster 360 3.57 O 14.3 360 245 3.21 15.84 4 USA Merc 240D 24.4 146.7 62 3.69 3.19 20 2 German Merc 230 22.8 140.8 95 3.92 3.15 22.9 2 German Merc 280 19.2 00 CO CO O) OF A A CO O) 167.6 123 3.92 3.44 18.3 4 German Merc 280C 17.8 167.6 123 3.92 3.44 18.9 4 German Merc 450SE 16.4 275.8 180 3.07 4.07 17.4 3 German Merc 450SL 17.3 275.8 180 3.07 3.73 17.6 3 German Merc 450SLC 15.2 275.8 180 3.07 3.78 18 -- -00000 0---. 3 German Cadillac Fleetwood 10.4 472 205 2.93 5.25 17.98 4 USA Lincoln Continental 10.4 460 215 3 5.424 17.82 4 USA Chrysler Imperial 14.7 440 230 3.23 5.345 17.42 4 USA Fiat 128 32.4 78.7 66 4.08 2.2 19.47 1 Italy Honda Civic 30.4 75.7 52 4.93 1.615 18.52 2 Japan Toyota Corolla 33.9 71.1 65 4.22 1.835 19.9 1 Japan Toyota Corona 21.5 120.1 97 3.7 2.465 20.01 1 Japan Dodge Challenger 15.5 318 150 2.76 3.52 16.87 2 USA Oo AMC Javelin 15.2 304 150 3.15 3.435 17.3 2 USA Camaro Z28 13.3 350 245 3.73 3.84 15.41 4 USA Pontiac Firebird 19.2 400 175 3.08 3.845 17.05 2 USA ooo - 0 - 060 0--. Fiat X1-9 27.3 79 66 4.08 1.935 18.9 1 Italy Porsche 914-2 26 120.3 91 4.43 2.14 16.7 2 German Lotus Europa 30.4 95. 1 113 3.77 1.513 16.9 2 UK CO O) CO A A A Ford Pantera L 15.8 351 264 4.22 3.17 14.5 4 USA Ferrari Dino 19.7 145 175 3.62 2.77 15.5 6 Italy Maserati Bora 15 301 335 3.54 3.57 14.6 8 Italy Volvo 142E 21.4 121 109 4.11 2.78 18.6 2 Sweden