Speed of sound data analysis q08 912 • Name:

Speed (m/s)
269
286
304
336
363
365
411
456
513

The data is based on data from a physical science experiment performed by the SC 130 students in the 8:00 section spring 2012. The students measured the experimental speed of sound. Two pieces of wooden board were clapped to produce a sound that generates a distinct echo off of distant buildings. The flight time of echoes was measured at seven different locations. Each location involved a different distance from a building. The sound speeds measured are in the table. 1, 2

  1. n = _________ Calculate the sample size n.
  2. x = _________ Calculate the sample mean x.
  3. sx = _________ Calculate the sample standard deviation sx.
  4. SE = _________ Calculate the standard error of the mean.
  5. E __________ Calculate the margin of error E of the mean.
  6. p(__________ ≤ μ ≤ __________) = 0.6827 Calculate the 68.27% confidence interval for the sample mean.
  7. _________ The theoretic value for the speed of sound in the 8:00 section was 347 m/s. Is the theoretic value of 347 m/s within the 68% confidence interval?

wood board clappers for sound speed experiment wood board clappers for sound speed experiment