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AP Statistics 3.2 Statistical Inference. What was the confidence level that the statistician used in the interval?
Transcript
- 00:04
And here's your shmoop du jour brought to you by dough..You can
- 00:07
need it or you can need it...On Sundays many people are finding their way [Child pestering Dad while on a laptop]
- 00:14
downtown to Benjamino's bakery all craving donuts the Baker at Benjamino's [People walking towards Benjamino's bakery]
- 00:20
brought in a statistician to calculate a confidence interval for the average
- 00:24
number of donuts each person bought on a Sunday. 100 people were surveyed and the
Full Transcript
- 00:29
mean number of donuts bought was 3.84 with a standard deviation of 1.12 and
- 00:34
the confidence interval he received was 3.6205 by 4.0595. What
- 00:40
was the confidence level that the statistician used in the interval? All
- 00:43
right here the potential answers....Well if you calculate using the lower limit of
- 00:50
3.6 205 the mean of 3.84 and 1.12 is the standard deviation while your formula [maths formula on a piece of paper]
- 00:57
looks like this the Z value equals 1.96 so where does that equate in the Z table
- 01:03
at the ninety percent confidence level no. Not at the 97 98 or 99 percent levels [Teacher pointing to confidence levels]
- 01:10
either that leaves B; It's a 95 percent confidence level and yeah that's
- 01:14
the correct answer once again proving that knowing your Z table like the back
- 01:18
of your hand is your avenue to success with stats. Hopefully this donut problem [Man holding hand up with Z table on his palm and kid eating a doughnut]
- 01:22
made sense to you and you're not sitting there with a glazed look in your eyes..
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