Q08 Birdie flight times ☄ Name:

Flight (s)
1.04 0.56
1.2 1.19
0.78 1.22
1.09 0.95
0.78 1.08
0.84 0.92
0.72 1.09
1.63 1.19
1.06 0.84
1.07 0.52
1.72 1.59
1.2 1.34
0.71 1.22
0.64 1.19
1.19 0.84
1.95 0.97
1.59 0.95
1.81 1.16
1.58 1.88
0.88 1.28
1.45 1.25
2.03 1.13
1.3 1.38
1.28 1.13
1.09 1.41
1.09 0.88
1.3 1.05
1.12 1.72
1.37 1.47
1.28 1.59
1.22 1.5
1.22 1.38
1.28 1.56
0.77 1.56
0.47 1.33
1.06 1.16
1.22

Badminton Badminton Badminton
The flight time from racket-to-racket for a badminton birdie (shuttle cock) was timed in seconds for a sample size n of 73 different flights. The sample mean time x was 1.20 seconds with a standard deviation sx of 0.33 seconds. Presume that the data is normally distributed.

  1. __________ Determine the probability the flight time will be less than 1.20 seconds.
  2. __________ Determine the probability the flight time will be less than one second.
  3. __________ During the session a total of 500 badminton birdie flights occurred (only a sample size n of 73 were actually measured) Based on the above probability, how many of the 500 flights were less than one second?
  4. __________ Determine the probability the flight time will be more than 1.50 seconds.
  5. __________ Shorter than what time x will be the shortest 5% of the flights?
  6. __________ Longer than what time x will be the longest 5% of the flights?
  7. __________ Shorter than what time x will be the shortest 2.5% (0.025) of the flights?
  8. __________ Longer than what time x will be the longest 2.5% (0.025) of the flights?
  9. __________ Calculate the standard error of the mean SE.