MIRAMAR COLLEGE FALL 2020
MATH 119 WORKSHEET 1 (GRADED ASSIGNMENT)
Prof. To
ez
NAME: _________________________________________________________
1. A fitness center is interested in the mean amount of time a client exercises in the center each week. Identify: a. the population, b. the sample, c. the parameter, d. the statistic, e. the variable, and f. give examples of the data.
SOLUTION
a.
b.
c.
d.
e.
f.
2. Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment program. Suppose that a new AIDS antibody drug is cu
ently under study. It is given to patients once the AIDS symptoms have revealed themselves. Of interest are the statistics of the length of time in months patients live once starting the treatment. A researcher follows a set of AIDS patients from the start of treatment until their deaths. The following data (in months) are collected.
2
18
4
22
11
24
14
25
15
28
15
37
16
44
16
a. Calculate the sample mean of the data.
b. Calculate the sample median of the data.
c. Calculate any modes of the data.
d. Calculate the sample variance of the data.
e. Calculate the sample standard deviation s of the data.
3. Two researchers are gathering data on hours of video games played by school-aged children and young adults. They each randomly sample different groups of 150 students from the same school and collected the data displayed in the table below. Fill in the high-lighted blanks in the table.
Hours Played per Week
Frequency
Relative Frequency
Cumulative Relative Frequency
0â€“2
26
2â€“4
30
0.20
4â€“6
6â€“8
25
8â€“10
12
0.08
10â€“12
8
n = 150
Î£ =
4. After constructing a relative frequency distribution summarizing IQ scores of college students, what should be the sum of the relative frequencies?
5. The population of ages at inauguration of all U.S. Presidents who had professions in the military is 62, 46, 68, 64, 57. Why does it not make sense to construct a histogram for this data set?
2