A researcher studies wage discrepancies among the seven regions of Turkey and considers the full-time, hourly-wage workers between the ages of 20 and 40. Researchers randomly selected 200 workers meeting the age criteria from Marmara Region, Aegean Region, Mediterranean Region, Black Sea, Central, Anatolian, Eastern Anatolian, and Southern Anatolian Region recorded their hourly pay rates. According to the proper analysis, what conclusions can the researchers make at a 97.5% confidence level?

1.

Set your null and alternative hypothesis then conduct the analysis manually using p-value approach and interpret your result (Manual Computation using R, and manual solve on paper).

2.

Validate your result in part 1 using the proper predefined function R (Use critical-value approach)

3.

Using the aov function construct the anova table using R.

Ps "please make 2 and 3 part only in Rstudio, and 1 with r and by solving without it"

how much time it will take?

id 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 industrycode marmara aegean mediterranean blacksea centralanatolian easternanatolian southernanatolian KXTDO4479T 18.06 16.07 17.62 17.35 16.35 14.93 14.55 ZTCNZ19630 22 17.18 17.7 16.61 16.06 15.09 14.13 XQEDN1133A 18.78 17.91 16.8 16.63 17.21 14.48 14.27 WIQKK4459L 20.6 16.2 16.67 15.57 16.75 14.31 15.95 XNVW69948A 18.91 17.69 16.7 16.07 17.69 14.1 15.81 RINMJ8926L 19.03 17.66 17.68 16.48 17.1 15.01 15.14 GGANC3536H 19.1 17.93 16.71 15.91 17.05 14.47 15.5 KOBE18719P 19.4 17.84 16.18 15.33 17.83 14.38 14.49 EFOBG4352R 18.84 16.64 16.48 16.67 16.17 14.57 14.81 HQDBB8003G 18 17 16.89 16.71 16.53 14.95 15.71 KXWKE2606Y 18.62 17.78 16.14 15.85 16.88 15.37 15.79 OEIMS5692N 18.26 17.96 16.29 16.03 16.09 14.94 14.07 ORALP81520 19 17.14 16.2 17.97 16 15.88 14.05 LKUB14045B 19.05 17.02 16.07 16.65 16.63 15.81 15.46 YTTFL4028K 19.57 16.79 17.67 15.24 17.7 15.46 15.04 ZOMUC6225N 18.21 17.22 17.06 17.03 17.51 14.93 14.09 JLXKZ3635G 16 16.73 17.18 16.97 17.81 14.66 14.66 DHQR19840P 17 17.9 17.88 16.79 17.79 14.29 15.06 HHDBD8103N 18.12 16.92 17.83 16.71 16.29 15.38 14.05 PNPJQ3830Z 18.98 16.36 16.73 15.14 17.42 14.74 15.91 IDDGE7048F 17.5 17.09 17.2 16.98 16.21 14.2 14.01 GBGGZ9864A 19.24 17.18 16.39 17.17 17.71 14.31 15.84 RCOFU5431X 19.05 17.99 16.02 16.45 17.8 15.88 15.83 PXAHA82314 19.47 16.13 16.2 16.02 17.41 15.96 15.27 EZEUE2863F 19.78 17.24 17.13 16.78 17.49 15.76 14.7 ANUUX4225A 18.46 16.17 17.32 16.34 16.74 16 15.01 HWZJX6163A 19.4 16.72 17.79 17.26 17.75 14.45 15.25 UYYUQ0995N 19.91 17.95 17.35 15.36 17.89 15.17 15.05 FUGFX75655 18.92 17.57 17.36 15.07 16.96 14.56 15.42 CGNWD1154D 19.47 16.42 16.64 15.8 17.76 15.27 15.71 MOBIG7706T 18 16.49 16.58 15.47 16.26 14.81 15.53 DCICD8461V 19.31 17.91 17.65 16.23 16.5 15.55 15.48 QNSVP66270 18.46 17.42 16.42 17.49 17.32 15.6 15.78 XKVZX0831H 18.63 17 16.39 15.74 16.5 14.29 14.43 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 15.11 14.58 15.12 35 36 37 38 39 40 41 42 43 44 45 46 17.14 16.09 17.91 16.98 16.8 16.12 16.2 16.36 16.26 16.3 16.25 16.26 14.39 15.17 15.25 15.92 15.79 14.45 15.21 15.65 15.86 47 48 49 50 51 52 53 54 55 56 57 58 BFGLV6403Z GEPAK2486C TDYEP2104H WAOBN1852) LTCOA3797H KWYOP17170 WHEFC3558X IFCCZ9182V ONZPN6693E HRRGU96920 FRYPD46311 SFDZB3504M AMHXP6552Y JISWK5194T NUNJW0253R PIRHN8895D IWFFF4767T PLGKK9962F CBFV24952H ZYSKF0041M GNDXB2780D IBNK 9454E ZFMVV5828Y BFTWS5127W NASTG5320D LRJJU0197 ROQIQ2739A CHYYV30810 GWJCF3554N QXCTH00160 WTJYG5973U JFSVX52691 HLOO06892D ZTTSE23410 QZNIS2031R 18.7 19.86 19.2 18.08 19.1 18.72 19.62 18.96 19.42 18.46 19.29 19.26 19.74 18.48 19.96 19.19 18.55 18.35 19.51 19.97 18.32 19.15 18.83 19.35 19.04 19.62 18.48 19.57 18.58 18.09 19.39 19.18 18.31 19 19.3 17.5 17.96 17.43 17.1 17.05 16.06 17.46 17.8 17.41 17.84 16.32 17.96 16.27 17.98 17.07 16.91 16.03 17.06 17.41 16.23 17 16.84 17.22 17.94 16.37 17.08 17.39 16.99 16.4 16.06 17.6 16.08 16.9 16.02 17.99 15.68 17.59 15.77 16.76 17.27 15.69 16 15.73 17.69 15.92 17.41 16.89 17.91 17.68 17.28 17.26 16.98 15.73 16.2 16.22 15.64 17.88 16.17 16.95 15.28 17.31 15.82 17.57 15.77 17.59 17.18 17.11 16.79 16.1 15.04 17.38 16.13 17.47 17.77 16.43 16.2 17.02 17.17 16.46 16.86 17.03 17.38 16.6 16.15 16.59 17.87 17.98 16.78 17.93 16.89 16.32 16.98 16.02 17.29 16.74 17.92 16.36 17.89 16.06 17.35 16.86 17.72 17.25 16.96 17.3 16.22 17.34 16.78 16.39 17.77 17.95 16.98 17.82 17.14 17.15 16.61 16.12 17.54 17.83 16.42 17.39 16.31 16.97 16.04 16.3 16.36 16.32 16.87 14.77 15.67 15.6 14.31 15.77 15.45 15.41 14.71 14.24 15.13 14.11 14.9 15.91 15.03 15.93 15.34 14.17 14.47 14.38 15.32 14.24 14.31 14.98 14.85 14.22 15.94 14.42 14.74 15.92 15.58 14.52 15.33 14.66 14.27 15.08 14.5 14.43 14.92 15.86 14.09 15.38 15.96 15.45 15.23 14.46 14.4 59 60 61 62 63 64 65 66 67 68 69 14.28 14.03 14.75 14.57 14.57 14.28 15.3 15.46 14.41 15.77 14.7 15.85 14.6 14.8 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 WMWVD9967G YHGD18553G JIDZW1592M HXBIQ6715D KXKPV1443T UKSBZ4417A DFDPS38310 ONJQN9493Z ILLNF9239V PKEQM6166G WFRCJ6445T FKYXG2677L YRYJY4811K QXHKI24240 SUSCR96340 YRDSF9205W VUTLF5646N UMKJO1452F PZWZRO7425 YPMZC1192D YFYLD17291 IQGT174990 MXUZR2888G HRTEB0810C YEQPN3095L WTUUR16205 PUHAF1000G RKZXA2205F UXFTW6690W XMLEW51240 JGRNL67521 SLKLX5812L ILIQC6772V VJVXP5158T DULWW3836X 18.1 18.46 19.9 19.74 19.44 20 18.51 19.47 18.09 18.88 18.79 19.97 19.32 18.03 18.11 18.11 19.69 19.67 19.13 18.72 18.45 19.55 19.03 19.23 18.22 19.68 18.34 18.73 18.46 20 19.73 18.81 19.55 18.9 18.4 17.35 16.22 16.62 17.01 16.78 16.45 16.86 16.95 17.84 16.79 17.11 17.89 16.06 16.04 16.64 17.88 16.89 17.18 16.88 17.5 17.52 16.82 17.14 17.75 17.87 16.13 16.98 17.55 16.86 17.17 17.1 17.97 16.35 16.46 16.84 17.22 16.55 17.9 17.4 17.76 16.78 17.64 16.45 17.27 17.02 17.19 16.5 17.42 16.75 17.7 16.87 17.23 16.95 17.31 17.85 17.34 16.53 17.82 16.78 17.54 16.7 17.89 17.9 16.66 17.14 17.22 17.05 17.37 17.69 16.52 15.85 15.47 16.5 16.89 15.38 17.05 17.03 15.54 15.46 16.33 15.47 16.07 16.63 17.55 17.84 15.55 16.38 15.21 17.65 16.1 16.9 16.02 16.71 15.15 16.04 15.41 16.89 17.08 15.5 16.35 17.33 16.06 17.74 17.61 17.26 16.58 16.32 17.81 17.56 16.52 17.85 16.81 18 17.49 16.55 16.73 16.75 17.97 17.38 16.87 16.11 16.86 16.39 14.34 14.95 14.29 14.71 14.41 15.29 15.99 15.1 15.87 14.29 14.5 15.42 15.21 14.31 15.34 15.03 14.8 15.26 15.09 14.59 14.63 15.9 15.53 14.94 14.92 15.67 15.6 14.9 14.67 14.86 15.44 14.03 15.58 15.67 15.5 15.11 14.1 14.03 15.79 15.17 15.17 15.28 14.74 15.82 15.63 14.69 14.08 15.27 14.44 14.48 14.29 15.69 15.37 14.5 15.38 15.1 15.27 15.02 15.23 14.49 15.59 14.9 15.78 15.41 15.94 15.7 14.49 14.38 91 92 93 94 95 96 97 98 99 100 101 102 103 104 15.09 16.69 15.57 17.57 15.28 15.88 17.92 16.35 16.98 17.34 16.71 16.28 17.84 17.77 17.06 16.61 16.09 105 106 107 108 109 110 111 112 113 17.63 16.81 17.75 16.25 17.61 16.26 17.4 17.37 16.71 17.61 17.51 17.83 16.61 17.71 16.64 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 COM HZYFH6191A 19.3 FSOCG9416U 18.19 JDRRZ9288H 18.49 JANGP1896R 19.12 LVQFH8972V 18.28 MJALW3050Y 18.55 WWZGD0120W 19.57 ESFSF8713N 18.09 XKACF4001M 18.15 TKVHZ3073Y 18.01 XESAB0575V 18.28 HAVDD3473N 18.35 BYUOQ8768V 18.08 PAUWQ3156R 18.1 CEVEB9213B 19.58 JNCOH6841N 18.64 MGVXD4846M 18.43 PBPKD1626Y 19.34 RMPFY8662E 18.25 TLAGT9104Y 18 WORAY3169A 19.59 GCEDK67730 18.46 YDSNL5071F 18.67 PKHEP9151H 18.12 GDRZW54911 18.21 QUUMD3522C 19.04 JHYQN8137H 18.35 ZOWDA5640E 19.8 RVGGT90221 19.07 FKRNG7933B 18.47 ITWYM6361F 18.22 ZYRID81440 18.32 NYCQU6556C 18.05 UEXFA62600 18.8 MUCAY34440 18.27 17.4 16.08 16.65 17.03 16.74 17.92 16.54 16.38 16.6 16.07 17.68 16.68 17.6 16.2 16.01 16.35 16.43 16.84 17.77 17.78 16.93 17.62 17.97 16.18 17.31 16.5 17.95 17.24 17.25 16.42 18 17.79 16.49 17.99 17.2 17.69 17.41 17.73 17.52 16.97 16.57 16.06 17.05 17.46 17.84 17.04 16.3 16.44 16.08 17.52 16.63 16.55 16.76 16.83 16.61 17.13 17.96 16.48 17.67 16.38 16.83 17.47 17.36 16.58 16.37 17.27 17.12 16.39 17.53 16.67 16.88 17.63 17.73 16.63 15.93 17.74 16.4 16.14 17.4 15.13 17.6 15.1 17.45 16.3 15.14 16.91 16.18 15.84 17.02 15.11 15.81 16.47 17.6 15.11 17.54 15.39 16.88 17.39 17 17.28 17.55 16.34 15.97 15.24 16.59 16.54 17.67 17.86 17.11 17.45 17.72 17.32 16.66 16.21 17.79 16.61 16.3 16.45 17.08 17.31 17.55 16.48 17.11 16.84 14.04 14.45 15.72 15.68 15.95 14.36 15.07 14.59 14.72 15.53 15.76 15.91 14.11 15.51 14.97 15.74 15.07 15.33 14.93 14.5 14.87 15.06 15.39 15.75 15.94 14 14.75 15.74 15.87 14.12 14.36 15.3 15.07 14.25 14.14 15.56 15.35 15.27 14.44 14.02 14.6 14.14 15.57 15.63 15.49 15.15 15.84 14.87 14.91 14.21 14.47 15.4 15.73 14.56 15.27 15.19 15.8 15.38 14.61 15.8 14.68 15.29 14.53 14.19 15.11 15.16 15.32 14.06 15.69 14.2 138 139 16.81 140 141 142 143 19.14 18.43 19.15 19.67 16.27 15.45 16.9 17.97 15.98 17.52 17.34 16.67 17.82 17.59 15.65 14.01 15.31 15.43 14.28 14.87 15.92 14.13 18.91 144 145 17.41 17.87 17.71 146 147 148 14.56 16.85 17.8 17.59 16.7 16.14 149 150 151 152 14.4 15.46 14.35 LHPCE8600D RKWQQ11126 JNUGM0305N WZENJO1050 QGDAG7839H LHVCC9755X ZVKVP46160 SROQB9066V LXSHA2219E UBWCU5535U TAMTS5981E LPNYX7518A ROUDJ7544A LQJDF52670 TECTC3583K MSAAE2256G DSRKS9409M TWGNG6285T XWTEV9337A EWCOB4598K ABOPZ19205 CKHJSO308C IWIAX8413R ZPLDB61810 17.35 16.03 16.87 16.98 17.06 17.29 16.9 17.33 17.05 16.32 17.54 17.61 17.97 17.5 17.86 17.48 17.91 16.69 16.6 16.54 16.72 17.26 16.11 16.31 17.88 17.73 17.69 17.47 17.44 16.36 16.5 16.35 16.63 16.09 16.14 17.2 16.08 16.03 16.66 17.76 17.73 16.95 16.83 17.52 16.68 17.64 16.94 17.75 16.01 15.12 15.34 14.85 14.03 15.7 14.01 15.8 15.26 15.05 15.97 14.29 15.6 15.72 15.56 15.85 15.33 14.11 14.54 15.85 14.64 14.55 15.52 14.86 15.15 14.5 18.65 19.01 18.1 19.61 18.08 19.32 18.66 19.45 18.26 19.15 19.22 19.66 19.41 18.85 19.55 18.31 19.09 18.71 18.85 153 15.04 154 155 16.87 15.79 17.08 17.27 16.43 15.01 17.57 17.6 17.71 17.54 17.28 17.66 15.86 16.19 17.5 17.8 15.62 17.14 156 157 158 159 16.22 17.9 17.92 17.45 16.84 17.75 17.36 16.32 16.27 16.96 16.25 14.72 14.5 15.31 14.48 14.83 14.39 15.41 14.94 15.59 15.78 160 161 162 163 164 16.79 14.08 17.72 17.02 15.35 15.43 165 14.51 14.15 166 167 16.35 17.23 16.46 15.13 14.06 15.59 15 168 16.18 14.54 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 FOQIQ72440 MDCNN69680 ARQBK0531B ZSDRD7590B ZXQBY3233G FGYQM6437V VDUFI8728K PULAU98440 MNPEU8544C SCVVP0927) DPSNR0045H ZHEBP4223U STYDD4353V NWGHZ16275 TYMPO0347W DPHGY58940 KOCYZ23630 FVCOK6838X MFCRP6139G OOTFV7557K CHXLG8018Z LGNDC1955Z RVGBZ19531 SVPOE0427Y 19.57 19.95 18.69 20 18.7 18.69 18.54 19.83 18.86 19.62 19.62 18.81 19.26 19.75 18.89 18.9 19.84 18.34 19.63 18.61 18.87 19.19 18.9 19.27 16.03 17.73 16.82 16.97 17.37 17.06 17.39 17.99 17.82 17.87 16.48 16.59 16.78 16.21 16.08 16.12 17.45 17.26 16.62 17.24 16.55 17.91 16.91 16.19 16.94 17.74 17.43 17.07 16.37 17.58 16.4 16.82 16.05 16.66 16.06 16.43 16.71 17.37 17.91 17.49 17.98 16.65 16.45 17.63 17.51 16.27 15.66 15.33 16.57 16.09 15.5 15.44 17.64 16.02 17.65 15.47 16.74 17.25 15.24 17.4 15.08 17.39 16.5 16.55 15.83 16.4 15.37 16.98 17.2 17.64 16.88 17.47 17.87 16.41 16.47 16.4 17.46 16.66 17.92 17.1 16.09 17.23 17.97 17.03 17.84 14.91 14.67 15.4 15.39 15.52 14.79 15.43 15.22 14.67 15.73 14.34 14.5 14.45 15.27 15.13 15.15 14.96 15.42 14.09 15.88 15.4 15.19 14.46 15.36 15.91 15.31 15.47 15.25 15.37 15.94 15.03 15.25 14.96 14.82 14.88 14.78 15.38 15.92 16.27 17.48 17.23 16.57 185 186 187 19.19 18.9 19.27 16.65 16.45 17.63 15.83 16.4 15.37 15.02 15.42 14.09 15.88 14.78 15.38 15.92 15.34 15.56 188 18.6 16.01 14.47 189 190 191 192 193 194 195 LGNDC1955Z RVGBZ19531 SVPOE0427Y SNWEV3133E GWPNU4968U NWOSO3718U EUHRQ3912B CTWED0833A RSYED9516C JMWU09021) BZBAA44340 PPBIU2570B WVBOT75950 ZCGAG1072M NPYTT6610W SPBAU4878Y 16.94 17.96 15.04 17.94 17.44 17.48 17.23 16.57 16.52 17 16.95 16.05 17.45 17.41 16.08 16.89 17.32 16.43 16.66 17.35 16.19 18.98 19.6 18.77 19.19 19.86 19.99 18.08 19.64 19.5 19.06 19.5 14.32 15.74 14.41 17.97 17.03 17.84 17.67 16.02 17.46 16.51 16.52 16.67 16.31 16.44 16.2 16.97 17.37 17.36 17.52 16.75 16.94 17.76 16.44 17.71 17.97 16.33 14.7 15.99 15.97 15.64 15.69 15.57 15.91 15.97 15.69 14.36 14.37 196 17 197 16.91 17.7 16.61 16.1 17.77 16.76 16.26 16.27 15.04 198 199 200 16.38 16.68 17.96 14.4 14.99 14.99 14.36 14.5 14.26 15.37 18.45 15.75