Tuesday HW: Counts Double (b/c it's 2'sday....)

Tonight, please complete the following in your textbook:

Page 491: 3, 17, 21, 27

This homework will be checked and scored as double! This is a great opportunity to STUDY for Thursday's test! Our homework has a confidence interval, a hypothesis test, and some types of error stuff--so the more work you put into this homework, the more you're preparing yourself for Thursday!

And even though it's only 4 questions, it's a good amount of work...so I should see lots of math, conditions, and writing! No homework should take up a half page! (unless you want half credit...)

Some hints/tips/comments on the hw...

• For #3, think about the p-value they must have gotten to conclude the new device is significantly better...
• If they concluded the new device was better, did they reject or fail to reject the null?
• Based on this idea, how must have their p-value compared to the alpha level of 0.05?
• Now, consider this--given what we know, would we have made the same decision at an alpha level of 0.10? 0.01?
• For #17...types of error!
• This is all based on Monday/Tuesday notes from chapter 21!
• This is a great example of what you might see about types of error and power on Thursday!
• #21...hypothesis test
• You also need to read #19 for the full context for this problem!
• For part a, conduct a complete hypothesis test: hypotheses, conditions, math, conclusion
• Part b is not asking for your conclusion (that's part of a)--so you're not telling me if you'd reject or fail to reject the null. Instead, for part b, you're actually interpreting the p-value itself!
• What does this probability mean? (look at your definition!)
• This is likely the most difficult question/concept/topic on the test
• #27....confidence interval
• For a, create an interval--conditions, math, interpret the interval
• Then, for b, use this interval to decide if the coach's claim is correct/plausible!

I know this is more than your usual homework...but if you put in the time and effort to cover ALL of the details mentioned above, you will be well prepared for Thursday! So do it! Let's work hard and bounce back with higher class averages on this test!