AP Stats Confidence Intervals for a Mean

• in a given random sample, there is a 95% probability that $\mu$ is between 6 and 12

• 95% of values sampled are between 6 and 12

• if we took many, many additional random samples and, from each, computed a 95% confidence interval for $\mu$ , approximately 95% of these intervals would contain $\mu$ .

• there is a 95% probability that the true mean is 9 and a 95%chance that the true margin of error is 3

• all of the above are true

• the 95% confidence interval computed from these data is very reliable.

• the 95% confidence interval computed from these data is not very reliable.

• the 95% confidence interval computed from these data is actually a 99% confidence interval.

• the 95% confidence interval computed from these data is actually a 90% confidence interval

• only one student's score should fall outside the 95% confidence interval.

• Without knowing the sample size, any of the above answers could be the 95% confidence interval

• Choosing a sample with a larger standard deviation

• Planting 100 plots, rather than 25

• Choosing a sample with a smaller standard deviation

• Planting only 5 plots rather than 25

• None of the above

• (58.16,74.24)

• (58.46,72.94)

• (65.8, 66.6)

• (65.86, 66.54

• (66.18, 66.22)

• The margin of error for our 95% confidence interval would increase.

• The margin of error for our 95% confidence interval would decrease.

• The margin of error for our 95% confidence interval would stay the same, since the level of confidence has not changed.

• 90%

• 95%

• 96%

• 99%

• over 99.9%