"The See Me" marketing agency wants to determine if time of day for a television advertisement influences website searches for a product. They have extracted the number of website searches occurring during a one-hour period after an advertisement was aired for a random sample of 30 day and 30 evening advertisements. The data is shown in the accompanying table and contained in the accompanying Excel file. (You may find it useful to reference the appropriate table: z table or t table) Day Searches Evening Searches 96670 118379 17855 111005 96368 100482 98465 122160 98550 117158 101623 101556 95753 98875 102036 104384 99475 110932 103780 101963 97608 123513 99859 102195 101764 111388 97287 116287 98066 119660 95390 12553 96125 98245 6767 98062 99494 101657 102498 106451 99260 104247 102020 105507 102468 118339 96543 109847 102491 123996 96557 122545 102627 113248 95048 104941 96969 111829 95103 114721 Click here for the Excel Data File (Samples 1 and 2 represent website searches for daytime and nighttime advertisements, respectively.) a. Set up the hypotheses to test whether the mean number of website searches differs between the day and evening advertisements. O HO: M1 - 12 = 0; HA: M1 - 12= 0 O HO : M1 - H2 20 ; HA: M1 - H2 0 b-1. Calculate the value of the test statistic. Assume that the population variances are unknown but equal. (Negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 3 decimal places.) Test statisticTABLE 2 Student's f Distribution Entries In this table provide the values of try that correspond to a given upper-tail area a and a specified number of degrees of freedom df. For example, for a = 0.05 and of = 10, PUT , 2 1.812) = 0.05. Area In Upper Tall, a 0 0.20 0.10 0.05 0.025 0.01 0,005 1.376 3.078 6.314 12.706 31.821 63.657 1.061 1.886 2.920 4.303 6.965 9.925 0.978 1.638 2.353 3.182 4.541 5.841 0.941 1.533 2.132 2776 3.747 4.604 0.920 1.476 2.015 2571 3.365 4.032 0.906 1.440 1.943 2447 3.143 3.707 0.896 1.415 1.895 2.365 2.998 3.499 0.889 1.397 1.860 2.306 2.896 3.355 0.883 1.383 1.833 2.262 2.821 3.250 0.879 1.372 1.812 2.228 2.764 3.169 11 0.876 1.363 1.796 2.201 2.718 3.106 0.873 1.356 1.782 2.179 2.681 3.055 13 0.870 1.350 1.771 2.160 2.650 3.012 14 0.868 1.345 1.761 2.145 2.624 2.977 15 0.866 1.341 1.753 2.131 2.602 2.947 16 0.865 1.337 1.746 2.120 2.583 2.921 17 0.863 1.333 1.740 2.110 2.567 2.898 18 0.862 1.330 1.734 2.101 2.552 2.878 19 0.861 1.328 1.729 2.093 2.539 2.861 0.860 1.325 1.725 2.086 2.528 2.845 0.859 1.323 1.721 2.080 2.518 2.831 INNY 0.858 1.321 1.717 2.074 2.508 2.819 0.858 1.319 1.714 2.069 2.500 2.807 24 0.857 1.318 1.711 2.064 2.492 2.797 25 0.856 1.316 1.708 2.060 2.485 2.787 26 0.856 1.315 1.706 2.056 2.479 2.779 27 0.855 1.314 1.703 2.052 2.473 2771 28 0.855 1.313 1.701 2.048 2.467 2.763 29 0.854 1.311 1.699 2.045 2.462 2.756 30 0.854 1.310 1.697 2.042 2.457 2.750 31 0.853 1.309 1.696 2.040 2.453 2.744 32 0.853 1.309 1.694 2.037 2.449 2.738 33 0.853 1.308 1.692 2.035 2.445 2.733 34 0.852 1.307 1.691 2.032 2.441 2.728 35 0.852 1.306 1.690 2.030 2.438 2.724 36 0.852 1.306 1.688 2.028 2.434 2.719 37 0.851 1.305 1.687 2.026 2.431 2.715 38 0.851 1.304 1.686 2024 2.429 2.712 39 0.851 1.304 1.685 2.023 2.426 2.708 40 0.851 1.303 1.684 2.021 2.423 2.704 41 0.850 1.303 1.683 2.020 2.421 2.701 42 0.850 1.302 1.682 2018 2.418 2.698 43 0.850 1.302 1.681 2017 2.416 2.695 44 0.850 1.301 1.680 2015 2.414 2.692 45 0.850 1.301 1.679 2.014 2.412 2.690 46 0.850 1.300 1.679 2013 2.410 2.687 47 0.849 1.300 1.678 2.012 2.408 2.685 48 0.849 1.299 1.677 2011 2.407 2.682 49 0.849 1.299 1.677 2.010 2.405 2.680 50 0.849 1.290 1.676 2 009 2.403 2.678 51 0.849 1.298 1.675 2.008 2.402 2.676 52 0.849 1.298 1.675 2.007 2.400 2.674 53 0.848 1.298 1.674 2.006 2.399 2.672 54 0.848 1.297 1.674 2.005 2.397 2.670 55 0.848 1.297 1.673 2.004 2.396 2.668 56 0.848 1.297 1.673 2.003 2.395 2.667 57 0.848 1.297 1.672 2.002 2.394 2.665 58 0.848 1.296 1.672 2002 2.392 2.663 59 0.848 1.296 1.671 2.001 2.391 2.662 60 0.848 1.296 1.671 2.000 2.390 2.660 0.846 1.292 1.664 1.990 2.374 2.639 100 0.845 1.290 1.660 1.984 2.364 2.626 150 0.844 1.287 1.655 1.976 2.351 2.609 200 0.843 1.286 1.653 1.972 2.345 2.601 500 0.842 1.283 1.648 1.965 2.334 2.586 1000 0.842 1.282 1.646 1.962 2.330 2.581 0.842 1.282 1.645 1.960 2.326 2.576
