Question: using the table below, and given an average of 1200 units produced a day with a standard deviation of 10, what is the approximate confidence

using the table below, and given an average of 1200 units produced a day with a standard deviation of 10, what is the approximate confidence level that you will be able to produce a minimum of 1213 units? %

AREAS OF THE CUMULATIVE STANDARD NORMAL DISTRIBUTION G2) An entry in the table is the proportion under the curve cumulated from the negative tail. Z G(2) Z G(2) z -4.00 0.00003 -1.30 0.09680 1.40 -3.95 0.00004 0.91924 -1.25 0.10565 1.45 -3.90 0.00005 0.92647 - 1.20 0.11507 1.50 -3.85 0.00006 0.933 19 -1.15 0.12507 1.55 0.93943 -3.80 0.00007 -1.10 0.13567 1.60 -3.75 0.00009 0.94520 -1.05 0.14686 1.55 -3.70 0.95053 0.00011 -1.00 0.15866 1.70 0.95543 -3.65 0.00013 -0.95 0.17106 1.75 0.95994 -3.60 0.00016 -0.90 0.18406 1.80 -3.55 0.00019 0.96407 -0.85 0.19766 1.85 0.96784 -3.50 0.00023 -0.80 0.21186 1.90 -3.45 0.97128 0.00028 -0.75 0.22663 1.95 0.97441 -3.40 0.00034 -0.70 0.24196 2.00 -3.35 0.97725 0.00040 -0.65 0.25785 2.05 -3.30 0.97982 0.00048 -0.60 0.27425 2.10 -3.25 0.00058 0.98214 -0.55 0.29116 2.15 -3.20 0.98422 0.00069 -0.50 0.30854 2 20 0.98610 -3.15 0.00082 - 45 0.32636 2.25 -3.10 0.98778 0.00097 -0.40 0.34458 2.30 0.98928 -3.05 0.00114 -0.35 0.36317 2.35 0.99061 -3.00 0.00135 -0.30 0.38209 2.40 -2.95 0.00159 0.99 180 -0.25 0.40129 2.45 099286 -2.90 0.00187 020 0.42074 2.50 -2.85 0.00219 0.99379 -0.15 0.44038 2.55 -2.80 0.00256 0.99461 -0.10 0.46017 2.60 -2.75 0.00298 0.99534 -0.05 0.48006 2.65 0.99598 -2.70 0.00347 0.00 0.50000 2.70 0.99653 -265 0.00402 0.05 0.51994 2.75 -2.60 0.00466 0.99702 0.10 0.53983 2.80 -2.55 0.00539 0.99744 0.15 0.55962 2.85 0.99781 -2.50 0.00621 0.20 0.57926 2.90 -2.45 0.00714 0.99813 0.25 0.59871 2.95 -2.40 0.00820 0.99841 0.30 0.61791 3.00 0.99865 -2.35 0.00939 0.35 0.63683 3.05 0.99886 -2.30 0.01072 0.40 0.65542 -2.25 3.10 0.99903 0.01222 0.45 0.67364 3.15 0.99918 -220 0.01390 0.50 0.69146 3.20 0.99931 -2.15 0.01578 0.55 0.70884 3.25 -2.10 0.01786 0.99942 0.60 0.72575 3.30 -205 0.02018 0.99952 0.65 0.74215 -200 3.35 0.02275 0.99960 0.70 0.75804 3,40 0.99966 -1.95 0.02559 0.75 0.77337 3,45 0.99972 -1.90 0.02872 0.80 0.78814 3.50 -1.85 0.99977 0.03216 0.85 0.80234 3.55 -1.80 0.03593 0.99981 0.90 0.8 1594 3.60 -1.75 0.04006 0.99984 0.95 0.82894 3.65 0.99987 -1.70 0.04457 1.00 0.84134 3.70 -1.65 0.04947 0.99989 1.05 0.85314 3.75 0.99991 -1.60 0.05480 1.10 0.86433 3.80 0.99993 -1.55 0.06057 1.15 0.87493 3.85 -1.50 0.99994 0.06681 1.20 0.88493 3.90 0.99995 -1.45 0.07353 1.25 0.89435 3.95 0.99996 -1.40 0.08076 1.30 0.90320 4.00 0.99997 -1.35 0.08851 1.35 0.91149 Using Microsoft Excel these probabilities are generated with the NORM.S. DISTI, TRUE) function

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