1. Yes, it fell within the 95% interval. Our density was smaller than the accepted value. These looked like drops from an aluminum welder, and perhaps there was some voiding or trapped air pockets, which would make them less dense. The confidence interval shows how certain we are that the true density lies within the,interval.
2. The interval increases (gets bigger) as the confidence level increases. I think that this is counter intuitive. I thought that the interval would shrink as we got more confident! I would tell students that it is more likely to hit something big like the broad side of a barn than something small, like a chicken.
3. If you forgot to subtract the weight of the beaker, it would change your density and the slope of the line if you used (0,0) as a data point. However, if you did not, the y intercept would be the weight of the beaker and the slope would be the density of the fluid.
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