- The figure below depicts six curves:

Which, if any, of the curves in the figure above look(s) like a normal curve? If the curve is a**NOT**normal curve, tell why. - The diagram below depicts three normal curves

- _______ Which curve has the smallest mean?
- _______ Which curve has the smallest standard deviation?
- _______ What is the mean for curve A?
- _______ What is the apparent mean for curve B?

- I jog from the College to Kolonia in a mean time µ = 61 minutes with a standard deviation s = 7 minutes. My times are normally distributed about the mean.
- _______ What is the probability that a run will take less than 61 minutes?
- _______ What is the probability that a run will take more than 68 minutes?
- _______ If I run 50 runs home during 2001, how many runs would be expected to last between 54 minutes and 68 minutes?

- Use µ = 61 and s = 7 to convert x = 51 minutes to a z value.

Statistic or Parameter | Symbol | Equations | Excel |
---|---|---|---|

Normal Statistics | |||

Calculate a z value from an x | z | ^{= } |
=STANDARDIZE(x, µ, s) |

Calculate an x value from a z | x | = s z + µ | =s*z+µ |

Calculate a z-statistic from an x |
z | =(x - µ)/(sx/SQRT(n)) |