An investment advisor claimed that BIT return is 2%. Do you agree? Justify your reasoning using a two-tailed hypothesis test approach at the significance level of 5%

*Given returns are in percentages, null hypothesis here is that the population mean return = 2 (not 0.02)

BIT Weekly Returns

3.419129784 85.71693536 39.24392318 -18.7890518 9.604669674 14.064392 -10.5121681 -4.83004032 4.244539449 13.56175618 -3.25568262 -16.1154629 4.599687719 3.554303102 -10.6242003 -12.8873804 17.84908327 -16.0504545 -4.66321244 8.641301087 25.55277816 -17.0451832 5.216139389 44.93746138 -14.2551213 8.63208965 -3.23256858 -0.70584529 -1.29504292 8.221619074 27.50872959 10.52604102 9.168264571 41.77729679 65.25601475 78.13664505 22.31183671 -14.741732 1.136501695 -23.9380368 13.72892016 12.35955246 3.8959003 -5.85980282 2.343672558 -7.101001 -8.50278161 -12.9411765 -1.5716223 -10.7596408 3.804612308 -0.7706714 -3.39043971 -13.4239313 -7.44464321 -8.35600281 19.48210063 -17.3626496 7.070363326 -9.19229003 12.03947237 26.96417706 16.04076918 -0.36003533 -10.4386637 2.722897888 -3.62318841 -0.57142677 4.67937121 -11.2722886 -2.16243863 10.83316075 3.278124912 -14.945626 -7.17472231 -5.97974236 5.365009706 4.556441622 -24.5346075 8.41343696 -23.2076519 36.30293057 0.811804019 -7.32570855 -6.68474516 5.020247035 5.21111602 -3.42055248 5.224397824 0.954400848 -11.8592462 3.675369668 1.951856445 -18.1887892 -3.50330552 -17.1584472 65.68168686 -39.7556752 6.946933894 4.622241734 -0.12349306 9.690882844 -0.98915315 15.51772916 -13.807712 8.627291863 -15.6421058 18.52383466 -3.93220033 -17.8082192 8.226664333 -8.8610292 16.59963987 -5.12129787 12.93072426 -11.0606221 -2.52432734 -2.38065679 4.075175058 11.22781112 22.4750112 -7.08552999 -2.47240159 3.244106203 -12.7614436 -9.10397226 8.645318197 -10.3851439 9.069911843 -5.33966791 -2.27629966 7.179763909 1.206416782 -3.15690637 9.994406019 7.089125658 19.41951203 15.42841858 -14.4362436 1.080990674 8.70221617 4.28056123 12.00192441 1.78045909 -5.68446848 0.201301243 10.27164506 -13.6904362 3.543327014 -7.2030888 -0.5989714 7.113842712 7.505510608 -0.48063386 -9.66077449 -0.79916889 7.520832616 0.922021596 -0.70341953 -5.14834482 3.467951794 7.176527491 -4.52944269 11.48942046 -2.0125958 -4.65557499 14.44635169 12.4659517 14.50506849 16.60521294 -13.9974377 -0.94628242 -2.84701905 2.692938086 -0.16647747 -7.8722385 -4.28217404 -4.75042115 1.265822785 1.315789474 5.922074805 -0.19617166 2.57862285 -5.84318119 4.225384189 -0.46984161 4.712040986 0.822016393 7.430719207 0.089731568 0.655628667 7.363450395 0.244867764 2.12369758 4.972314918 2.883184655 11.72843932 11.76918701 -9.91675023 -11.9936352 11.6914344 1.237738359 8.834409532 -0.46448203 2.569547926 12.90090602 8.806796598 -2.43570811 -17.3931211 -6.21462953 15.2840086 9.501789048 -1.4930251 5.961287868 5.836194639 23.28998378 18.13655033 10.24172847 8.177287624 12.87583248 11.34152066 -7.72857561 -2.38376658 -4.58281015 2.176345289 -26.5117071 41.09561753 -0.33206297 15.03765265 30.97157512 -0.36442009 6.062555167 7.088966228 -11.6133848 -13.6557124 0.7038913 20.32222226 5.785613921 22.75063731 6.741201116 3.950252583 20.8730867 -18.2359519 34.936253 15.00381499 22.16785137 41.00506273 22.6656186 -27.1169567 0.585809961 20.00694281 -16.7118621 -20.4455408 -4.64241364 -29.2091708 1.534345502 28.46778634 -7.77999282 20.02501283 -17.7473621 -12.3261183 3.684746624 -19.9580755 3.331935602 16.6907517 6.597226546 9.470193901 2.009693388 -8.85140321 -2.08970311 -13.8396958 4.93313284 -12.4770606 -2.66984005 -5.32603111 2.861289467 5.472698225 -4.44635703 16.26740184 11.72963127 -13.984539 -8.78720473 2.301332602 2.825530936 9.907118676 -12.6848742 2.912836559 0.655599547 0.235352532 1.367780341 -5.70931323 3.087777656 0.156903155 -1.22666746 -0.75856223 -14.2754642 -28.2834472 2.779470835 -12.0243756 -9.65332251 26.02760651 -2.50028422 4.221579285 -13.6893741 1.104281978 -0.40807362 -4.20570278 8.408737713 -0.95726273 2.572986189 2.418485734 4.02709129 1.283677031 -0.15854419 2.146140094 26.41332147 -0.53834252 3.085379009 -0.43039731 9.657474846 22.68234459 19.29904754 6.162497686 -0.08249893 -12.8747364 18.00309795 20.14935584 -2.52175712 7.825277446 -10.4531068 2.733493908 -7.74446473 16.13422099 5.607618466 -9.91204406