17 observations on degree of polymerization for paper specimens were collected.

Question

17 observations on degree of polymerization for paper specimens were collected. A sample average of 438.29 and a sample standard deviation of 15.14 were calculated from the sample. The observations are summarized in the normal probability plot and boxplot below.

(a) Is it plausible that the given sample observations were selected from a normal distribution? Say why or why not.

(b) Calculate a 95% confidence interval for true average degree of polymerization. Does the interval suggest that 440 is a plausible value for true average degree of polymerization? What about 450?

For a I think it is yes? Because the data points fall on the linear line?

Explanation / Answer

(a) Is it plausible that the given sample observations were selected from a normal distribution? Say why or why not.Yes it is because as you can see in the plot distribuiton we have a lot of points in the line of normality

b)

alpha / 2 = 0.025 df=16 t=2.120

438.29 +/- 2.120 *15.14 / srqt (17)

438.29 +/- 7.78

430.51 < miu < 446.07

440 is in the interval so it is plausible value

450 is not in the interval so it is not a plausible value

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