2) We make four independent measurement of the solidity of a certain polymer. We assume that the measurement errors are normal and have zero expectation. We also assume that all measurements have the same standard deviation. The measurement values are X₁ = 20, X₂ = 22, X3 = 19, X4 = 19. a) Estimate the solidity and give a 95% confidence interval assuming that the standard deviation for one measurement is o = 3. b) Assume now the standard deviation not know. Estimate the standard deviation from the data.. c) Test the hypothesis that the conductivity is 17 on the 90% level assuming the standard deviation to be known and equal to g = 3,

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2) We make four independent measurement of the solidity of a certain polymer. We assume
that the measurement errors are normal and have zero expectation. We also assume that all
measurements have the same standard deviation. The measurement values are
X₁ = 20, X₂ = 22, X3 = 19, X4 = 19.
a) Estimate the solidity and give a 95% confidence interval assuming that the standard deviation
for one measurement is o = 3.
b) Assume now the standard deviation not know. Estimate the standard deviation from the
data..
c) Test the hypothesis that the conductivity is 17 on the 90% level assuming the standard
deviation to be known and equal to o = 3.
Transcribed Image Text:2) We make four independent measurement of the solidity of a certain polymer. We assume that the measurement errors are normal and have zero expectation. We also assume that all measurements have the same standard deviation. The measurement values are X₁ = 20, X₂ = 22, X3 = 19, X4 = 19. a) Estimate the solidity and give a 95% confidence interval assuming that the standard deviation for one measurement is o = 3. b) Assume now the standard deviation not know. Estimate the standard deviation from the data.. c) Test the hypothesis that the conductivity is 17 on the 90% level assuming the standard deviation to be known and equal to o = 3.
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