An article contain the following observation an degrees of polymerization for pa

Question

An article contain the following observation an degrees of polymerization for paper specimens for which vis costly times concentration fell in a certain middle range. The data has been given in an R vector called "data". Copy and paste this code in R to create a boxplot and calculate the summary statistics, Construct a boxplot of the data, Comment on any interesting features. (Sect all that apply) There is little or no skew. There is one outlier. The data is strongly skewed. The data appears to be centered near438. There are no outlier. The data appears to be centered near 428. (b) Is it plausible that the given sample observations were selected from a normal distribution? Yes No (c) Calculate a 95% confidence interval for true average degree of polymerization. ()

Explanation / Answer

Interesting feature

There is little or skew.

The data appear to center to be centered near 438.

There are no outliers.

c) In this part, we have to find 95% confidence interval for the population mean.

Here population standard deviation is not known so we use t interval.

R codes and commands.

> t.test(data)

   One Sample t-test

data: data
t = 120, df = 16, p-value < 2.2e-16
alternative hypothesis: true mean is not equal to 0
95 percent confidence interval:
430.2044 445.6780
sample estimates:
mean of x
437.9412

So confidence interval is ( 430.20 , 445.68)

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