Question
Use Excel to calculate the mean and standard deviation of trading volume for XYZ in the data you are given, and then answer the following
Use Excel to calculate the mean and standard deviation of trading volume for XYZ in the data you are given, and then answer the following questions (you can use the AVERAGE() and STDEV.S() functions to calculate mean and standard deviation, respectively). (9 points total)
a. What is a 90% confidence interval for the average daily trading volume for XYZ? [6 points]
b. Assuming the standard deviation remains about the same, how many trading days of data do we need in order to estimate the average trading volume within plus/minus 200 at 90% confidence? [3 points]
Day | Day_num | Mon | Tue | Wed | Thu | Vol |
Mon | 1 | 1 | 0 | 0 | 0 | 8145 |
Tue | 2 | 0 | 1 | 0 | 0 | 12317 |
Wed | 3 | 0 | 0 | 1 | 0 | 13174 |
Thu | 4 | 0 | 0 | 0 | 1 | 8928 |
Fri | 5 | 0 | 0 | 0 | 0 | 9406 |
Mon | 6 | 1 | 0 | 0 | 0 | 9807 |
Tue | 7 | 0 | 1 | 0 | 0 | 7901 |
Wed | 8 | 0 | 0 | 1 | 0 | 12238 |
Thu | 9 | 0 | 0 | 0 | 1 | 10100 |
Fri | 10 | 0 | 0 | 0 | 0 | 11325 |
Mon | 11 | 1 | 0 | 0 | 0 | 13714 |
Tue | 12 | 0 | 1 | 0 | 0 | 8776 |
Wed | 13 | 0 | 0 | 1 | 0 | 14055 |
Thu | 14 | 0 | 0 | 0 | 1 | 9814 |
Fri | 15 | 0 | 0 | 0 | 0 | 8850 |
Mon | 16 | 1 | 0 | 0 | 0 | 13378 |
Tue | 17 | 0 | 1 | 0 | 0 | 13070 |
Wed | 18 | 0 | 0 | 1 | 0 | 8973 |
Thu | 19 | 0 | 0 | 0 | 1 | 9343 |
Fri | 20 | 0 | 0 | 0 | 0 | 6631 |
Mon | 21 | 1 | 0 | 0 | 0 | 13561 |
Tue | 22 | 0 | 1 | 0 | 0 | 8644 |
Wed | 23 | 0 | 0 | 1 | 0 | 12625 |
Thu | 24 | 0 | 0 | 0 | 1 | 10816 |
Fri | 25 | 0 | 0 | 0 | 0 | 10702 |
Mon | 26 | 1 | 0 | 0 | 0 | 10990 |
Tue | 27 | 0 | 1 | 0 | 0 | 7734 |
Wed | 28 | 0 | 0 | 1 | 0 | 10040 |
Thu | 29 | 0 | 0 | 0 | 1 | 9093 |
Fri | 30 | 0 | 0 | 0 | 0 | 10685 |
Mon | 31 | 1 | 0 | 0 | 0 | 13786 |
Tue | 32 | 0 | 1 | 0 | 0 | 9973 |
Wed | 33 | 0 | 0 | 1 | 0 | 7259 |
Thu | 34 | 0 | 0 | 0 | 1 | 12216 |
Fri | 35 | 0 | 0 | 0 | 0 | 8739 |
Mon | 36 | 1 | 0 | 0 | 0 | 6449 |
Tue | 37 | 0 | 1 | 0 | 0 | 9873 |
Wed | 38 | 0 | 0 | 1 | 0 | 11666 |
Thu | 39 | 0 | 0 | 0 | 1 | 13655 |
Fri | 40 | 0 | 0 | 0 | 0 | 9706 |
Mon | 41 | 1 | 0 | 0 | 0 | 7878 |
Tue | 42 | 0 | 1 | 0 | 0 | 11917 |
Wed | 43 | 0 | 0 | 1 | 0 | 11296 |
Thu | 44 | 0 | 0 | 0 | 1 | 9577 |
Fri | 45 | 0 | 0 | 0 | 0 | 7604 |
Mon | 46 | 1 | 0 | 0 | 0 | 10899 |
Tue | 47 | 0 | 1 | 0 | 0 | 14589 |
Wed | 48 | 0 | 0 | 1 | 0 | 10279 |
Thu | 49 | 0 | 0 | 0 | 1 | 9218 |
Fri | 50 | 0 | 0 | 0 | 0 | 10515 |
Mon | 51 | 1 | 0 | 0 | 0 | 14360 |
Tue | 52 | 0 | 1 | 0 | 0 | 10852 |
Wed | 53 | 0 | 0 | 1 | 0 | 13611 |
Thu | 54 | 0 | 0 | 0 | 1 | 14104 |
Fri | 55 | 0 | 0 | 0 | 0 | 11231 |
Mon | 56 | 1 | 0 | 0 | 0 | 15934 |
Tue | 57 | 0 | 1 | 0 | 0 | 10921 |
Wed | 58 | 0 | 0 | 1 | 0 | 12360 |
Thu | 59 | 0 | 0 | 0 | 1 | 10112 |
Fri | 60 | 0 | 0 | 0 | 0 | 12639 |
Mon | 61 | 1 | 0 | 0 | 0 | 14959 |
Tue | 62 | 0 | 1 | 0 | 0 | 10770 |
Wed | 63 | 0 | 0 | 1 | 0 | 12078 |
Thu | 64 | 0 | 0 | 0 | 1 | 6898 |
Fri | 65 | 0 | 0 | 0 | 0 | 9402 |
Mon | 66 | 1 | 0 | 0 | 0 | 6823 |
Tue | 67 | 0 | 1 | 0 | 0 | 11802 |
Wed | 68 | 0 | 0 | 1 | 0 | 9794 |
Thu | 69 | 0 | 0 | 0 | 1 | 7768 |
Fri | 70 | 0 | 0 | 0 | 0 | 13725 |
Mon | 71 | 1 | 0 | 0 | 0 | 13103 |
Tue | 72 | 0 | 1 | 0 | 0 | 10681 |
Wed | 73 | 0 | 0 | 1 | 0 | 8876 |
Thu | 74 | 0 | 0 | 0 | 1 | 8637 |
Fri | 75 | 0 | 0 | 0 | 0 | 9404 |
Mon | 76 | 1 | 0 | 0 | 0 | 20169 |
Tue | 77 | 0 | 1 | 0 | 0 | 8551 |
Wed | 78 | 0 | 0 | 1 | 0 | 11593 |
Thu | 79 | 0 | 0 | 0 | 1 | 9298 |
Fri | 80 | 0 | 0 | 0 | 0 | 12603 |
Mon | 81 | 1 | 0 | 0 | 0 | 17404 |
Tue | 82 | 0 | 1 | 0 | 0 | 12335 |
Wed | 83 | 0 | 0 | 1 | 0 | 9824 |
Thu | 84 | 0 | 0 | 0 | 1 | 11026 |
Fri | 85 | 0 | 0 | 0 | 0 | 5475 |
Mon | 86 | 1 | 0 | 0 | 0 | 11672 |
Tue | 87 | 0 | 1 | 0 | 0 | 10985 |
Wed | 88 | 0 | 0 | 1 | 0 | 7656 |
Thu | 89 | 0 | 0 | 0 | 1 | 12250 |
Fri | 90 | 0 | 0 | 0 | 0 | 9399 |
Mon | 91 | 1 | 0 | 0 | 0 | 16221 |
Tue | 92 | 0 | 1 | 0 | 0 | 5213 |
Wed | 93 | 0 | 0 | 1 | 0 | 13440 |
Thu | 94 | 0 | 0 | 0 | 1 | 12341 |
Fri | 95 | 0 | 0 | 0 | 0 | 8284 |
Mon | 96 | 1 | 0 | 0 | 0 | 13528 |
Tue | 97 | 0 | 1 | 0 | 0 | 9728 |
Wed | 98 | 0 | 0 | 1 | 0 | 9323 |
Thu | 99 | 0 | 0 | 0 | 1 | 11399 |
Fri | 100 | 0 | 0 | 0 | 0 | 7299 |
Mon | 101 | 1 | 0 | 0 | 0 | 12399 |
Tue | 102 | 0 | 1 | 0 | 0 | 9597 |
Wed | 103 | 0 | 0 | 1 | 0 | 9727 |
Thu | 104 | 0 | 0 | 0 | 1 | 8284 |
Fri | 105 | 0 | 0 | 0 | 0 | 11064 |
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