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A random sample of size 49 is taken from a normal population having a mean of 80 and a standard deviation of 3. A second random sample of size 25 is taken from a different normal population having a mean of 65 and a standard deviation of 6. Find the probability that the sample mean computed from the 49 measurements will exceed the sample mean computed from the 25 measurements by at least 13.2 but less than 16.1. Assume the difference of the means to be measured to the nearest tenth. 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 probability is ☐ (Round to four decimal places as needed.)

A random sample of size 49 is taken from a normal population having a mean of 80 and a standard deviation of 3. A second random sample of size 25 is taken from a different normal population having a mean of 65 and a standard deviation of 6. Find the probability that the sample mean computed from the 49 measurements will exceed the sample mean computed from the 25 measurements by at least 13.2 but less than 16.1. Assume the difference of the means to be measured to the nearest tenth. 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 probability is ☐ (Round to four decimal places 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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Areas under the Normal Curve -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 Z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -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 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 Areas under the Normal Curve z .03 .04 0.0 0.0005 -3.2 0.1 -2.5 0.0062 0.0060 0.0059 0.0057 -2.4 0.0082 0.0080 0.0078 0.0075 -2.3 0.0107 0.0104 0.0102 0.0099 -2.2 0.0139 0.0136 0.0132 0.0129 -2.1 0.0179 0.0174 0.0170 0.0166 -2.0 0.0228 0.0222 0.0217 0.0212 0.0162 0.0207 Z .00 .01 .02 0.0007 -3.1 0.0010 -3.0 0.0014 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Transcribed Image Text:Areas under the Normal Curve -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 Z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -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 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 Areas under the Normal Curve z .03 .04 0.0 0.0005 -3.2 0.1 -2.5 0.0062 0.0060 0.0059 0.0057 -2.4 0.0082 0.0080 0.0078 0.0075 -2.3 0.0107 0.0104 0.0102 0.0099 -2.2 0.0139 0.0136 0.0132 0.0129 -2.1 0.0179 0.0174 0.0170 0.0166 -2.0 0.0228 0.0222 0.0217 0.0212 0.0162 0.0207 Z .00 .01 .02 0.0007 -3.1 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A random sample of size 49 is taken from a normal population having a mean of 80 and a standard deviation of 3. A second random sample of size 25 is taken from a different normal population having a mean of 65 and a standard deviation of 6. Find the probability that the sample mean computed from the 49 measurements will exceed the sample mean computed from the 25 measurements by at least 13.2 but less than 16.1. Assume the difference of the means to be measured to the nearest tenth. 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 probability is (Round to four decimal places as needed.)
Transcribed Image Text:A random sample of size 49 is taken from a normal population having a mean of 80 and a standard deviation of 3. A second random sample of size 25 is taken from a different normal population having a mean of 65 and a standard deviation of 6. Find the probability that the sample mean computed from the 49 measurements will exceed the sample mean computed from the 25 measurements by at least 13.2 but less than 16.1. Assume the difference of the means to be measured to the nearest tenth. 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 probability is (Round to four decimal places as needed.)
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