Quiz 03 9.12 sd1 Confidence intervals for ± 2 SE • Name:

Living room
lap times (s)
2.03
3.25
5.66
4.01
2.58
3.52
3.15
4.21

Living room laps
On a rainy evening two small children were observed running laps of the living room. This is a regular daily activity for them. From a small sample of lap times, a 95% confidence interval for the mean lap time can be constructed.

  1. __________ Calculate the sample size n.
  2. __________ Calculate the mean.
  3. __________ Calculate the sample standard deviation.
  4. __________ Calculate the sample standard error of the mean.
  5. __________ Calculate twice sample standard error of the mean.*
  6. Calculate the 95% confidence interval for the population mean μ lap time

    p( __________ ≤ μ ≤ __________ ) = 0.95

* Note that this calculation is not taking into account the effect of the small sample size. On Monday the factor of "two" used to multiply the standard error will be adjusted to take into account the sample size n.