Construct a confidence interval for the true distance

Reference no: EM131427227

Paper airplanes

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:Count 11

Mean 48.3636

Median 45

StdDev 8.0846

StdErr 5.45273

IntQRange 25

25th %tile 35.5000

75th %tile 60.5000

814_Graph 4.jpg

a) Construct a 95% confidence interval for the true distance.

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

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

d) 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?

Reference no: EM131427227

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