An article contained the following observations on degree of polymerization for

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: 415 421 422 422 425 428 432 434 437 439 446 447 448 453 455 462 464 (a) Construct a boxplot of the data Sorry, an error occurred while generating this image. Please return to your home page and open this assignment again. If you still have problems click Help, and then Contact Us to report this error. We are sorry for the inconvenience 420 430 440 450 460 420 430 440 450 460 420 430 440 450 Comment on any interesting features. (Select all that apply.) There are no outliers There is one outlier. The data appears to be centered near 438 data appears to be centered near 428 O The data is strongly skewed There is little or no skew. (b) Is it plausible that the given sample observations were selected from a normal distribution? O No (c) Calculate a two-sided 95% confidence interval for true average degree of polymerization. (Round your answers to two decimal places.) Does the interval suggest that 439 is a plausible value for true average degree of polymerization? O No Does the interval suggest that 456 is a plausible value? O No

Explanation / Answer

Solution:-
a) boxplot option A.

=> option C. The data appears to be centered near 438

b) option A.

c) n = 17 , df = n - 1 = 16 ,t = 2.12 (95% confidence interval)

mean = 438.24 , sd = 15.13

=> 438.24 +/- 2.12 * (15.13/sqrt(17))
  
= ( 430.46 , 446.02 )

=> Yes

=> No

  
  

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