In Chapter 7 of Devore, we learned about two-sided confidence intervals as well as one-sided confidence bounds. In this unit's Chapter 8 reading, we're learning about the various forms that Null and Alternative hypotheses can take, and how they can be viewed as relating to each other.

Describe your intuitive sense of how the ways we discussed confidence intervals and bounds will be helpful when testing hypotheses of the types and relationships covered in the text. Discuss how you are starting to see (or not, if you still feel that way) statistics being connected to the kinds of real-world problems you expect to encounter as an engineer.

example post:

Confidence intervals and bounds are helpful when testing hypotheses in the sense that it gives one a starting point (in a way). Usually two hypotheses would be formed (the null hypothesis and the alternative hypothesis), and through analysis, it can be determined if the null hypothesis can be rejected, or if it is still plausible. Confidence intervals give one a certain confidence that a population parameter lies in between the bounds, and hypothesis-testing can give one the certainty (sort of) that the claim is at least valid. If the hypothesized value lies somewhere in between the confidence interval, then that should mean (I hope) a hypothesis test would fail to reject the null hypothesis value. Statistics is connected to real-world problems (and in engineering) in the sense that you can use it to test (and reject) hypotheses that can be useful in potential experiments or in altering production processes, for instance.

https://faculty.ksu.edu.sa/sites/default/files/probability_and_statistics_for_engineering_and_the_sciences.pdf