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The average height of females in the freshman class of a certain college has historically been 162.2 centimeters with a standard deviation of 6.7 centimeters. How large a sample is required to test whether the average height has changed for the present freshman class if the power of the test is to be 0.9 when the true average height differs from 162.2 centimeters by 2.8 centimeters? Use a = 0.02. 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 minimum sample size required is (Round up to the nearest whole number as needed.)

The average height of females in the freshman class of a certain college has historically been 162.2 centimeters with a standard deviation of 6.7 centimeters. How large a sample is required to test whether the average height has changed for the present freshman class if the power of the test is to be 0.9 when the true average height differs from 162.2 centimeters by 2.8 centimeters? Use a = 0.02. 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 minimum sample size required is (Round up to the nearest whole number as needed.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:الها Areas under the Normal Curve > > 2 .00 Areas under the Normal Curve .01 .02 .03 .04 0.0129 0.4443 .01 .02 .04 z .00 .01 .02 .03 .04 .05 .06 .07 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0010 0.0009 -3.1 0.0009 0.0009 0.0008 0.0008 0.0008 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 0.0027 0.0026 -2.7 -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 0.0037 0.0036 -2.6 -2.5 0.0062 0.0060 0.0059 0.0057 0.0055 0.0054 0.0052 0.0051 0.0049 0.0048 -2.5 -2.4 0.0082 0.0078 0.0075 0.0080 0.0073 0.0071 0.0069 0.0068 0.0066 0.0064 -2.4 -2.3 0.0107 0.0104 0.0102 0.0099 0.0096 0.0094 0.0091 0.0089 0.0087 0.0084 -2.3 -2.2 0.0139 0.0136 0.0132 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0.9949 0.9951 0.9952 2.5 2.6 0.9953 0.9955 0.9956 0.9957 0.9959 0.9960 0.9961 0.9963 0.9964 0.9962 2.6 0.9965 2.7 0.9966 0.9967 0.9968 0.9970 0.9969 0.9971 0.9972 0.9973 0.9974 2.7 回 2.8 0.9974 0.9975 0.9976 0.9977 0.9977 0.9978 0.9979 0.9979 0.9980 0.9981 2.8 0.9982 0.9982 0.9983 0.9984 0.9984 0.9985 0.9987 0.9987 0.9987 0.9988 0.9988 0.9989 0.9989 0.9990 0.9991 .05 .06 .08 .09 0.5359 0.0 0.5753 0.1 0.6141 0.2 0.9985 0.9986 0.9986 2.9 A 3.2 3.3 A 3.4 0.9991 0.9991 0.9992 0.9992 0.9992 0.9993 0.9993 0.9994 0.9994 0.9994 0.9994 0.9994 0.9995 0.9995 0.9995 3.2 0.9989 0.9990 0.9990 3.0 0.9992 0.9993 0.9993 3.1 2 0.9995 0.9995 0.9997 0.9997 .00 .01 0.9995 0.9996 0.9997 0.9997 .02 .03 0.9996 0.9996 0.9997 0.9997 0.9996 0.9997 .04 .05 .06 0.9996 0.9996 0.9997 0.9997 .07 .08 0.9997 0.9998 .09 3.3 3.4 .09 2
The average height of females in the freshman class of a certain college has historically been 162.2 centimeters with a standard deviation of 6.7 centimeters. How large a sample is required to test whether the average height has changed for the present freshman class if the power of the test is to be 0.9 when the true average height differs from 162.2 centimeters by 2.8 centimeters? Use a = 0.02. 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 minimum sample size required is ☐ (Round up to the nearest whole number as needed.)
Transcribed Image Text:The average height of females in the freshman class of a certain college has historically been 162.2 centimeters with a standard deviation of 6.7 centimeters. How large a sample is required to test whether the average height has changed for the present freshman class if the power of the test is to be 0.9 when the true average height differs from 162.2 centimeters by 2.8 centimeters? Use a = 0.02. 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 minimum sample size required is ☐ (Round up to the nearest whole number as needed.)
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