An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range: 418 421 422 422 425 429 431 434 437
439 446 447 449 452 457 461 465

Calculate a two-sided 95% confidence interval for true average degree of polymerization.

The 95% confidence interval for true average degree of polymerization is (431, 446).

Step-by-step explanation:

The data provided for the degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range is:

S = {418, 421, 422, 422, 425, 429, 431, 434, 437,  439, 446, 447, 449, 452, 457, 461, 465}

Compute the sample mean and sample standard deviation:

As the population standard deviation is not provided use the t-statistic to compute the two-sided 95% confidence interval for true average degree of polymerization.

The critical value of the t is:

*Use a t-table.

Compute the 95% confidence interval for true average as follows:

Thus, the 95% confidence interval for true average degree of polymerization is (431, 446).

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