Collect a sample of impact strength measurements for each dye.
To construct a 95% two-sided confidence interval on the difference of mean impact strength between two dyes, you can use the following steps:
combined variance = ((n1 - 1) * variance1 + (n2 - 1) * variance2) / (n1 + n2)
lower bound = mean1 - mean2 - t * standard error
upper bound = mean1 - mean2 + t * standard error
The resulting interval represents the range of values for the difference in means that are 95% likely to contain the true difference in means for the two dyes.
It is important to note that these steps assume that the variances of the two populations are the same. If the variances are not the same, you may need to use a different method to calculate the confidence interval.
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