Speed of sound data analysis 101 • Name:

LocationSound speed (m/s)
A building 338
B building 324
Bookstore 250
Men's residence432
Gym 353
South faculty 408
LRC 539
Public health 258
Dining hall 353
Women's residence 333

The data is based on data from a physical science experiment performed by the SC 130 students that 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. 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 SE.

    The theoretic value for the speed of sound on the day of the experiment was 348 m/s.

    Given the following hypothesis:
    Null hypothesis: H0: μ = 348
    Alternate hypothesis: H1: μ ≠ 348
    Use α = 0.05
  5. tc = ________________Calculate the tcritical for α = 0.05
  6. t = _____________ Calculate the t-statistic t.
  7. ____________________ Based on the values of tc and t, should you fail to reject OR reject the null hypothesis?
  8. _____________ Does the sample data support a possible population mean sound speed of 348?

wood board clappers for sound speed experiment - Dwayne on clappers Students follow the echo wherever the echo goes- Marcyliza chases the echo
The hypothesis test result should agree with a 95% confidence interval result!