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The heights of 2000 students are normally distributed with a mean of 167.5 centimeters and a standard deviation of .8 centimeters. Assuming that the heights are recorded to the nearest half-centimeter, how many of these students vould be expected to have heights a) less than 153.0 centimeters? b) between 163.5 and 176.0 centimeters inclusive? c) equal to 170.0 centimeters? d) greater than or equal to 188.0 centimeters? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.

The heights of 2000 students are normally distributed with a mean of 167.5 centimeters and a standard deviation of .8 centimeters. Assuming that the heights are recorded to the nearest half-centimeter, how many of these students vould be expected to have heights a) less than 153.0 centimeters? b) between 163.5 and 176.0 centimeters inclusive? c) equal to 170.0 centimeters? d) greater than or equal to 188.0 centimeters? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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I posted this multiple times, and I got wrong answers everytime.

I need help with parts a to d

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z .09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.0 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.1 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6141 0.6103 0.2 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.3 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.4 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.5 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.6 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.9 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.0 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.1 1.2 0.8888 0.8849 0.8869 0.8944 0.8907 0.8925 0.9015 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0.9945 0.9949 0.9946 0.9951 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.8 0.9974 0.9975 0.9976 0.9980 0.9977 0.9977 0.9978 0.9979 0.9979 0.9981 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 2.9 0.9987 0.9988 0.9988 3.0 0.9987 0.9987 3.0 0.9989 0.9989 0.9989 0.9990 0.9990 0.9991 3.1 0.9990 0.9992 0.9991 0.9992 0.9991 0.9992 0.9992 0.9993 0.9993 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.2 0.9995 0.9996 0.9995 0.9995 0.9996 0.9996 3.3 0.9996 0.9996 0.9997 0.9996 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 3.4 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.9952 2.5 2.6 2.7 2.8 3.1 3.3 3.4 2
Transcribed Image Text:Areas under the Normal Curve .01 .03 .09 Z Z .00 .02 .04 .05 .06 .07 .08 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -3.4 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 -3.3 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 0.0005 -3.2 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 0.0007 -3.1 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 0.0010 -3.0 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 0.0014 0.0014 -2.9 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 0.0020 0.0019 -2.8 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 -2.7 0.0047 -2.6 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 -2.6 0.0062 0.0060 0.0059 -2.5 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.5 -2.4 0.0082 0.0080 0.0078 0.0075 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.4 -2.3 0.0107 0.0104 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.01 .02 .03 .04 .05 .06 .07 .08 z .09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.0 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5753 0.1 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6141 0.6103 0.2 0.3 0.6179 0.6217 0.6255 0.6293 0.6331 0.6368 0.6406 0.6443 0.6480 0.6517 0.3 0.4 0.6554 0.6591 0.6628 0.6664 0.6700 0.6736 0.6772 0.6808 0.6844 0.6879 0.4 0.5 0.6915 0.6950 0.6985 0.7019 0.7054 0.7088 0.7123 0.7157 0.7190 0.7224 0.5 0.6 0.7257 0.7291 0.7324 0.7357 0.7389 0.7422 0.7454 0.7486 0.7517 0.7549 0.6 0.7 0.7580 0.7611 0.7642 0.7673 0.7704 0.7734 0.7764 0.7794 0.7823 0.7852 0.7 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.8 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 0.9 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.0 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.1 1.2 0.8888 0.8849 0.8869 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0.9940 0.9941 0.9943 0.9948 0.9945 0.9949 0.9946 0.9951 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9962 0.9963 0.9964 2.7 0.9965 0.9966 0.9967 0.9968 0.9969 0.9970 0.9971 0.9972 0.9973 0.9974 2.8 0.9974 0.9975 0.9976 0.9980 0.9977 0.9977 0.9978 0.9979 0.9979 0.9981 2.9 0.9981 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9985 0.9986 0.9986 2.9 0.9987 0.9988 0.9988 3.0 0.9987 0.9987 3.0 0.9989 0.9989 0.9989 0.9990 0.9990 0.9991 3.1 0.9990 0.9992 0.9991 0.9992 0.9991 0.9992 0.9992 0.9993 0.9993 3.2 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.2 0.9995 0.9996 0.9995 0.9995 0.9996 0.9996 3.3 0.9996 0.9996 0.9997 0.9996 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9997 0.9998 3.4 .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 0.9952 2.5 2.6 2.7 2.8 3.1 3.3 3.4 2
The heights of 2000 students are normally distributed with a mean of 167.5 centimeters and a standard deviation of 7.8 centimeters. Assuming that the heights are recorded to the nearest half-centimeter, how many of these students would be expected to have heights (a) less than 153.0 centimeters? (b) between 163.5 and 176.0 centimeters inclusive? (c) equal to 170.0 centimeters? (d) greater than or equal to 188.0 centimeters? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) 59 student(s) (Round to the nearest whole number as needed.) (b) student(s) (Round to the nearest whole number as needed.)
Transcribed Image Text:The heights of 2000 students are normally distributed with a mean of 167.5 centimeters and a standard deviation of 7.8 centimeters. Assuming that the heights are recorded to the nearest half-centimeter, how many of these students would be expected to have heights (a) less than 153.0 centimeters? (b) between 163.5 and 176.0 centimeters inclusive? (c) equal to 170.0 centimeters? (d) greater than or equal to 188.0 centimeters? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) 59 student(s) (Round to the nearest whole number as needed.) (b) student(s) (Round to the nearest whole number as needed.)
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