A physical fitness trainer has several workouts she developed for increasing female upper body strength. All the workout plans are created based on the average adult women’s bench press ability. The average adult woman can bench 115 lbs. with a standard deviation of 18 pounds. The trainer has a class of 14 females and does an initial test to see if the women are representative of the average female population.
Data
Female Class Bench Ability (lbs.)
1 |
130 |
2 |
100 |
3 |
99 |
4 |
114 |
5 |
130 |
6 |
97 |
7 |
114 |
8 |
135 |
9 |
128 |
10 |
128 |
11 |
116 |
12 |
141 |
13 |
113 |
14 |
116 |
Write the null and alternative hypothesis in statistical form:
Determine the mean for the sample:
Apply the z-test formula
Zobt =
Is this a one-tailed (directional test) or a two-tailed (non-directional test)?
What is your alpha level set to? α =
Label the critical value(s) and indicate the position of the Zobt on the distribution
Write the z result in the correct form:
