answer

Cecil is the manager at a shampoo factory Recently he has suspected that shampoo bottles contain less shampoo than they should. Cecil began collecting sample bottles from the production line so that he could test them to see if they were underfilled. However, he needed to know if the amount of shampoo in each sample bottle was statistically likely or not. Cecil knows that the mean amount of shampoo in each bottle should be 9 ounces with a standard deviation of 0.5 ounces. Cecil picks up a bottle and determines that it has 7.5 ounces of shampoo. Using the following z-table, what is the probability that a bottle of shampoo would have 7.5 or less ounces? 0.01 0.02 0.03 0.09 0.0003 0.8003 0.0003 0.6003 010003 0 0003 0 0OO3 0.0003 E'E 0.0005 0.0005 0.0004 010004 0 0004 010004 0.0004 0.0004 0.0003 -3.2 0.0007 D.OOO7 0.D006 0.0006 CID006 0 0006 0.0005 010005 0.0005 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0007 0.0013 0.0013 0 0012 010012 0 0011 01001 1 0 0011 010010 0.0010 2.9 0.0019 0.0018 0.0017 010016 0 0016 010015 0 0015 0.0014 0.0014 -2.8 0.0026 0.0025 0.0024 0.0023 0 0022 0.DO21 0 0021 0.0020 0.0019 -2.7 0.0035 010034 EEDOO 010032 QUDO31 0 0030 OUD029 0 0028 0.0027 0.0026 -3.6 Q. INHIT 0.0715 010019 0.0037 0.00 36 2.5 0.0062 0.0060 010059 0.0057 0 0054 010053 0.0051 010049 0.0048 -2.4 0.0082 0.0080 0.0071 0.0069 QUDOGG 0.0064 -2.5 0 0107 0.0104 00103 0.0030 0 0034 Q.001 010087 -3.2 0.0136 90112 0.0129 010125 0 0122 0.0119 0 0116 0.0115 90110 -2.1 0.0179 0.0174 0.0170 0.0166 010162 0 0158 010154 0 0150 0.0146 0.0143 0.0228 0.0222 0.0217 0.0212 0 0202 0.0197 0 0192 0.0188 0.0183 -1.0 0.0287 0.0281 0.0274 0 0268 0.0262 0 0256 0.0350 0.0239 -1.8 0.0359 0.0351 0.0344 0.0336 0.0329 0 0322 0.0314 0.0307 0.0294 0.0446 0.0436 0.0427 0.0418 010-409 0 0401 010342 0.0384 0.0375 0.0367 -1.6 0.0548 0.0537 0.0526 0.0516 0 0495 0.0485 0.0475 010465 0.0455 -1.5 0.0455 10.0430 0 0606 0 0583 010471 -1.4 0.0808 0.0793 0.0778 0.0764 0.0749 0.0735 0.0708 0.0694 0.0681 -1.3 0.0964 0.0951 0.0934 0.0918 010901 0 0485 0.0869 0 0853 0.0823 1.2 0.1151 0.1131 0.1112 0.1093 0.1075 0.1056 0.1038 0 1020 0.1003 0.0985 -1.1 0.1857 0.1935 0.1314 0.1292 0.1271 0.1251 0.1210 0 1210 0.1190 0.1170 0.1587 0.1562 0.1539 0.1515 0.1492 0.1469 0.1416 01423 0.1401 0.1379 -0.9 0.1841 0.1814 0.1758 0.1762 0.1736 0.1711 0.1685 0.1660 0.1635 0.1611 -OUR 0.2119 0.2090 0.2061 0.3005 0 1937 0.1949 0 1932 0.1894 0 1867 -0.7 0.2420 0.2189 0.2127 0.2290 0 2260 0.2216 0.2206 0.2177 0.214 -0.6 0.2743 0.2700 0.2676 0.2643 0.2611 0 3578 0.2546 0.2514 0.2483 0.2451 -0.5 0.3085 0.3050 0.3015 T862 0 0.2946 0.2912 0.2877 EPBZO 0.2810 0.2776 -0.4 0.3446 0.3409 03136 0 1264 0.3228 0 3192 0.8156 0.3121 -0.3 0.3821 0.3783 0.3M45 0.3649 0 3032 0.3594 0.3557 0.3520 0.3483 -0.2 0.4307 0.4168 0.4139 04090 0.4052 04013 0.3974 0 3936 0.3817 0.4602 0.4562 0.4522 0.4483 0.4443 0.4404 0.4364 0.4325 0.4286 0.4247 0.5000 0.4920 0 4801 04741 04721 04041 O 0.13% 2.28% O 99.87% O 38.21%