Stat 321 - HW 1 Solutions
1) This activity asks you to consider the value of statistics ratings that you and your classmates
gave to Statistics in the Stat 321 Initial survey (1=completely useless to 9=extremely important).
The responses of the first 31 individuals were:
6, 9, 9, 6, 7, 9, 7, 7, 7, 9, 9, 7, 7, 7, 7, 7, 6 ,6 ,8, 6, 6, 5,
7, 7, 6, 9, 7, 8, 9, 8, 8
a)
Tally the responses of students in your class by counting how many students answered 1,
how many answered 2, and so on. Create a table similar to the following to organize the data:
Rating
1
2
3
4
5
6
7
8
9
Tally (count)
1
7
12
4
7
b) Which value was chosen most often (the “mode”)?
7
c) How many and what proportion of students gave a response (strictly) greater than 5? Less than
5?
30 of 31 (.968) were strictly greater than 5.
1 of 31 (.032) was at most 5.
d) Based on these data, write a paragraph interpreting how your class generally seems to feel
about the value of statistics in society. Specifically, comment on the degree to which these
students seem to be in agreement. Also address if students seem to be generally optimistic,
pessimistic, or undecided about the value of statistics.
The class appears very optimistic about the value of statistics. All responses were 5 or higher
with 7 the most common response followed by 9.
e) Suggest a
measurement issue
that may lead to these responses not being an accurate reflection
of the opinions about statistics of the students in this class.
Students may not be honest in their opinions believing the instructor may judge them differently
based on their response.
f) Suggest a
sampling issue
that may explain why these responses are not
representative
of the
opinions of all Cal Poly students.
Students in this class are more computer and mathematically inclined and probably have more