IME 254

1) A sample of 26 measurements has a mean of 35.6 and a sample standard deviation of 13.8.
The sample measurements are shown in the following stem-and-leaf display (leaf units=1.0)
1 3 2
2 4 7 7 6 4 0 6 3 7
3 8 2 8 5
4 9 8 6 0 3 3 8 3
5 2 0
6
7 2
What is the z-score of the maximum measurement in the dataset? (Circle one)
a) 1.63
b) 2.64 (correct)
c) -1.71
d) -1.64
2) A sample of size n = 50 has mean 𝑋̅ = 28 and standard deviation 𝑆 = 3. Without knowing
anything else about the sample, what can be said about the number of observations that lie in
the interval (22,34)? (Circle one)
a) At least 37 observations (correct)
b) At least 44 observations
c) 34 observations
d) 48 observations
3) The Venn diagram below shows the simple events (black dots), the probability of their
occurrence (labels above dots), event E (larger circle), and event F (smaller circle) associated
with an experiment.
Find 𝑝(𝐸𝑐 ∩ 𝐹𝑐). (Circle one)
a) 0.25 c) 0.2 (correct)
b) 0.8 d) 0.1
E
0.1
0.15
0