Homework #6

Please answer both questions and use simple words and simple English

HCS 418: Statistics for Health Professions
Homework #6
1. A study of 100 subjects unfortunately contains 5 people with
missing data. The statistician coded the missing values as “99” (i.e.
s/he replaced each of the missing number with “99”) in the
computer.
Assume that the true (i.e. if there were no missing values) values for the dataset are:
Mean = 45.0
SD = 5.6
Minimum = 16
Maximum = 65
If the statistician went ahead and analyzed the data as if the “99”s were real numbers,
would it make the following parameter estimates larger, smaller, or stay the same? (i.e. Please
explain how the statistician’s action would affect each of the parameter below)
a.
b.
c.
d.
e.
The mode
The median
The mean
The SD
The range
2. An entire Philosophy class took a test, and the results are broken down below:
Males
Females
Mean
60
40
SD
12
10
N
138
97
Assuming the distribution of test scores were fairly normal for both men and women, please
figure out the following:
a.
b.
c.
d.
e.
If a male gets a score of 70, what’s his z-score?
What’s the z-score for a female with a score of 35?
What score for females is equivalent to a male’s score of 78?
What proportion of women get scores between 30 and 45?
What proportion of men get scores over 68?