Students in SC 130 Physical Science measured the speed of sound by measuring the distance and duration of flight for a sound based on the time delay of the arrival of the echo. Teams recorded and calculated eleven different sound speeds seen in the table. The mean μ is 383 m/s. The standard deviation σ is 46 m/s.
For the purposes of this quiz, presume that the distribution of data is normal about a point estimated population mean of μ of 383 m/s and a point estimated population standard deviation σ of 46 m/s.
__________ The speed of sound at 28° Celsius, the typical daytime temperature on Pohnpei, is 350 m/s.
What is the z-score for 350 m/s?
For the following, use the following normal distribution functions.
=NORMDIST(x;μ;σ;1)
=NORMINV(p;μ;σ)
p(x ≥ 383) = __________ Based on the normal distribution, if more experiments were run, what percent of the experiments would produce a sound speed of 383 m/s or more?
p(x ≤ 350) = __________ Based on the normal distribution, if more experiments were run, what percent of the experiments would produce a sound speed of 350 m/s or less?
p(x ≥ 400) = __________ Based on the normal distribution, if more experiments were run, what percent of the experiments would produce a sound speed of 400 m/s or more?
p(350 ≤ x ≤ 400) = __________ Based on the normal distribution, if more experiments were run, what percent of the experiments would produce a sound speed between 350 m/s and 400 m/s?
p(x ≤ __________ ) = 0.20 Below what speed will occur the 20% slowest sound speeds?
p(x ≥ __________ ) = 0.20 Above what speed are found the 20% fastest sound speeds??
