Paper planes In preparation for a regional paper airplane competition, a student tried out her latest design. The distances her plane traveled (in feet) in 11 trial flights are given here. (The world record is an astounding 193.01 feet!) The data were 62, 52, 68, 23, 34, 45, 27, 42, 83, 56, and 40 feet.

Here are some summaries:

1. Construct a 95% confidence interval for the mean distance.

2. Based on your confidence interval, is it plausible that the mean distance is 40 ft? Explain.

3. How would a 99% confidence interval for the mean distance differ from your answer in part a? Explain briefly, without actually calculating a new interval.

4. How large a sample size would the student need to get a confidence interval half as wide as the one you got in part a, at the same confidence level?

Transcribed Image Text:

Count Mean Median StolDev Stol Err IntQRange 11 48.3636 45 18.0846 5.45273 525 25th 96tile 35.5000 75th %tile 60.5000 6 4 2 20 60 Distance (ft)