(b) Afly 0220 (Round to four decimal places as needed.). (c) Using the results of part (b), if 5000 rods are manufactured in a day, how many should the plant manager expect to discard? (Use the answer from part b to find this answer. Round to the nearest integer as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Solve for C)

Steel rods are manufactured with a mean length of 20 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard
deviation of 0.07 cm.
Click the icon to view a table of areas under the normal curve.
...
(a) What proportion of rods has a length less than 19.9 cm?
0764 (Round to four decimal places as needed.)
(b) Any rods that are shorter than 19.84 cm or longer than 20.16 cm are discarded What proportion of rods will be discarded?
0220 (Round to four decimal places as needed.)
(c) Using the results of part (b), if 5000 rods are manufactured in a day, how many should the plant manager expect to discard?
(Use the answer from part b to find this answer Round to the nearest integer as needed.)
K
Transcribed Image Text:Steel rods are manufactured with a mean length of 20 centimeter (cm). Because of variability in the manufacturing process, the lengths of the rods are approximately normally distributed with a standard deviation of 0.07 cm. Click the icon to view a table of areas under the normal curve. ... (a) What proportion of rods has a length less than 19.9 cm? 0764 (Round to four decimal places as needed.) (b) Any rods that are shorter than 19.84 cm or longer than 20.16 cm are discarded What proportion of rods will be discarded? 0220 (Round to four decimal places as needed.) (c) Using the results of part (b), if 5000 rods are manufactured in a day, how many should the plant manager expect to discard? (Use the answer from part b to find this answer Round to the nearest integer as needed.) K
Tables of Areas under the Normal Curve
0
Area
TABLE V
3.3
733 77777 9337 32233 99
.00
01
81000
Standard Normal Distribution
.02 .03 .04
.05
DSC00
.06
.07
0.0002
0.0003
0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003
0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004
0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005
0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007
0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010
0.0019
0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014
0.0026 0.0025 0.0024 0.0023 0.0025 0.0022 0.0021 0.0021 0.0020
0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0,0029 0.0028 0.0027
0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037
0.0062 0.0060 D.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049
0.0032
0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064
0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087
0.0084
0.0139 0.0136 0.0132 0.0129
0.0125
0.0122 0.0119 0.0116 0.0113 0.0110
0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 08146 0.0143
00228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188
0.0287 0.0281
0.0359 00351
0.0446 0.0436
0.0548 0.0537
0.0668 0.0655
0.0808 0.0793
0.0968 0.0951
0.1151 0.1131
0.1357 0.1335
0.1587 0.1562
0.1841 0.1814
0.2119 0.2090
0.0183
.08
.09
0.0014
0.0019
0.0026
0.0036
0.0048
0.0274 0,0268 0.0262 0.0256 0,0250 0.0244 0.0239
0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301
0.0127 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375
0.0526 10.0516 0.0505 0.0495 0.0485 0.0475 0.0465
0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571
0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681
0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823
01112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985
0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190
0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401
0.1788 0.1762 0.1756 0.1711
0.2061 02033 10.2005 0.1977
0.1170
0.1379
0.0233
0.0294
0.0367
0.0455
0.0559
0.1685 0.1660 0.1635 0.1611
0.1949 0.1922 0.1894 0.1867
Transcribed Image Text:Tables of Areas under the Normal Curve 0 Area TABLE V 3.3 733 77777 9337 32233 99 .00 01 81000 Standard Normal Distribution .02 .03 .04 .05 DSC00 .06 .07 0.0002 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 0.0019 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0026 0.0025 0.0024 0.0023 0.0025 0.0022 0.0021 0.0021 0.0020 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0,0029 0.0028 0.0027 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0062 0.0060 D.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0032 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 0.0139 0.0136 0.0132 0.0129 0.0125 0.0122 0.0119 0.0116 0.0113 0.0110 0.0179 0.0174 0.0170 0.0166 0.0162 0.0158 0.0154 0.0150 08146 0.0143 00228 0.0222 0.0217 0.0212 0.0207 0.0202 0.0197 0.0192 0.0188 0.0287 0.0281 0.0359 00351 0.0446 0.0436 0.0548 0.0537 0.0668 0.0655 0.0808 0.0793 0.0968 0.0951 0.1151 0.1131 0.1357 0.1335 0.1587 0.1562 0.1841 0.1814 0.2119 0.2090 0.0183 .08 .09 0.0014 0.0019 0.0026 0.0036 0.0048 0.0274 0,0268 0.0262 0.0256 0,0250 0.0244 0.0239 0.0344 0.0336 0.0329 0.0322 0.0314 0.0307 0.0301 0.0127 0.0418 0.0409 0.0401 0.0392 0.0384 0.0375 0.0526 10.0516 0.0505 0.0495 0.0485 0.0475 0.0465 0.0643 0.0630 0.0618 0.0606 0.0594 0.0582 0.0571 0.0778 0.0764 0.0749 0.0735 0.0721 0.0708 0.0694 0.0681 0.0934 0.0918 0.0901 0.0885 0.0869 0.0853 0.0838 0.0823 01112 0.1093 0.1075 0.1056 0.1038 0.1020 0.1003 0.0985 0.1314 0.1292 0.1271 0.1251 0.1230 0.1210 0.1190 0.1539 0.1515 0.1492 0.1469 0.1446 0.1423 0.1401 0.1788 0.1762 0.1756 0.1711 0.2061 02033 10.2005 0.1977 0.1170 0.1379 0.0233 0.0294 0.0367 0.0455 0.0559 0.1685 0.1660 0.1635 0.1611 0.1949 0.1922 0.1894 0.1867
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