Question

suppose a research team takes a simple random sample of 100 parma wallabies. in this sample, the tails of the wallabies have a mean length of 46 centimeters and a standard deviation of 2.6 centimeters.

What percent of the time could a simple random of 100 parma wallabies have a sample mean that is not in the 95% confidence interval?

5%
0%
2.5%
20%

Answer 1

Answer: choice A) 5%

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Explanation:

Saying "95% confidence interval" means that if we made a simple random 
sample (SRS) of 100 wallabies, and computed the sample mean, then 95% of the sample means will be in the confidence interval. The remaining 5% (100%-95% = 5%) of the sample means will fall outside the confidence interval.