Confidence interval for true average
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Question: An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range.
Degree: 429 421 421 422 425 427 431 436 437 439 446 447 448 452 453 463 465
a) Calculate a two-sided 98% confidence interval for true average degree of polymerization. What is the lower limit?
b) Calculate a two-sided 98% confidence interval for true average degree of polymerization. What is the upper limit?
c) Calculate a two-sided 95% confidence interval for true average degree of polymerization (as did the authors of the article).
What is the lower limit of this confidence interval?
d) Calculate a two-sided 95% confidence interval for true average degree of polymerization (as did the authors of the article).
What is the upper limit of this confidence interval?
e) Does the 95% confidence interval suggest that 440 is a plausible value for true average degree of polymerization?
f) Does the 95% confidence interval suggest that 450 is a plausible value?
Give your answers correct to three decimal places.
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Solution Summary
Calculates Confidence interval for true average degree of polymerization.
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Question: An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range.
Degree: 429 421 421 422 425 427 431 436 437 439 446 447 448 452 453 463 465
a) Calculate a two-sided 98% confidence interval for true average degree of polymerization. What is the lower limit?
b) Calculate a two-sided 98% confidence interval for true average degree of polymerization. What is the upper limit?
c) Calculate a two-sided 95% confidence interval for true average degree of polymerization (as did the authors of the article).
What is the lower limit of this confidence interval?
d) Calculate a two-sided 95% confidence interval for true average degree of polymerization (as did the authors of the article).
What is the upper limit of this confidence interval?
e) Does the 95% confidence interval suggest that 440 is a plausible value for true average degree of polymerization?
f) Does the 95% confidence interval suggest that 450 is a plausible value?
Answer:
Calculate the mean and standard deviation of the sample
Mean and standard deviation
X= X 2 =
...
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