BCC Science Fair Project Questions

B number is B00271843

Class Activity 8 Instructions:
1. Pick the problem that corresponds to the last digit of your B number below. For example, if your B number is
B00997996, use Problem #6 below. If your B number ends with a 0, use Problem 10.
2. Make it a handmade science fair project (suitable for presentation in public — see examples), perform the full
statistical analysis (hypotheses, test statistics, rejection regions, decision) and explanation in plain English.
3. All calculations must be demonstrated. The critical value and rejection region need to be clearly identified
graphically.
4. No credit for computer generated presentations (such as powerpoint or word), or problems done on paper not
in presentation format.
5. Make it look *nice*. (You have two weeks to do this. There is no assigned work in Week 9.) Have fun.
1) Many track runners believe that they have a better chance of winning if they start in the
inside lane that is closest to the field. For the data below, the lane closest to the field is Lane
1, the next lane is Lane 2, and so on until the outermost lane, Lane 6. The table displays the
starting positions for the winnners of 240 competitions.Test the claim that the probability
of winning is the same regardless of starting position. Use = 0.05.
Starting Position
Number of Wins
1)
1 2 3 4 5 6
44 33 36 45 32 50
2) A teacher finds that final grades in the statistics department are distributed as: A, 25%; B,
25%; C, 40%; D, 5%; F, 5%. At the end of a randomly selected semester, the following
grades were recorded. Determine if the grade distribution for the department is different
than expected. Use = 0.05.
2)
Grade
A B C D F
Number 36 42 60 8 14
3) A sports researcher is interested in determining if there is a relationship between the
number of home team and visiting team wins and different sports. A random sample of
526 games is selected and the results are given below. Test the claim that the number of
home team and visiting team wins is independent of the sport. Use = 0.05.
Home team wins
Visiting team wins
Football Basketball Soccer Baseball
41
156
25
85
29
98
19
73
1
3)
4) Economists at USF are researching the problem of absenteeism at U.S. firms. A random
sample of 100 U.S. organizations was selected to participate in a 1-year study. As part of
the study, the economists had collected data on the following two variables for each
company: shiftwork available (Yes or No), and union-management relationship (Good or
Poor). As part of their analyses, the economists wanted to determine whether or not a
company makes shiftwork available depends on the relationship between union and
management. The collected data are shown below:
Relation
Shiftwork Good Bad
No
11
22
Yes
25
42
Total
36
64
4)
Total
33
67
100
Determine whether the shiftwork responses depend on the relationship responses using a
two-way chi-square analysis. Use = 0.05.
5) Inc. Technology reported the results of consumer survey in which 300 Internet users
indicated their level of agreement with the following statement: “The government needs to
be able to scan Internet messages and user communications to prevent fraud and other
crimes.” The possible responses were “agree strongly”, “agree somewhat”, “disagree
somewhat”, and “disagree strongly”. The number of Internet users in each category is
summarized in the table.
RESPONSE
Agree Strongly
Agree Somewhat
Disagree Somewhat
Disagree Strongly
5)
NUMBER
60
110
80
50
Determine whether the true proportions of Internet users in each response category differ.
Use = 0.05.
6) A survey of entrepreneurs focused on their job characteristics, work habits, social activities,
leisure time, etc. One question put to each entrepreneur was, “What make of car (U.S.,
Europe, or Japan) do you drive?” The responses (number in each category) for a sample of
100 entrepreneurs are summarized below. The goal of the analysis is to determine if the
proportions of entrepreneurs who drive American, European, and Japanese cars differ.
U.S.
38
Europe
35
Japan
27
Determine whether the true proportions in each response category differ, a one-way
chi-square analysis should be conducted. Use = 0.05.
2
6)
7) The contingency table below shows the results of a random sample of 200 state
representatives that was conducted to see whether their opinions on a bill are related to
their party affiliations.
7)
Opinion
Party
Approve Disapprove No Opinion
Republican
40
20
16
Democrat
50
24
18
Independent
8
16
8
Test the claim of independence. Use
= .05.
8) A random sample of 160 car accidents are selected and categorized by the age of the driver
determined to be at fault. The results are listed below. The age distribution of drivers for
the given categories is 18% for the under 26 group, 39% for the 26-45 group, 31% for the
45-65 group, and 12% for the group over 65. Test the claim that all ages have crash rates
proportional to their number of drivers. Use = 0.05.
8)
Age
Under 26 26 – 45 46 – 65 Over 65
Drivers
69
42
22
27
9) A drug company developed a honey-based liquid medicine designed to calm a child’s
cough at night. To test the drug, 105 children who were ill with an upper respiratory tract
infection were randomly selected to participate in a clinical trial. The children were
randomly divided into three groups – one group was given a dosage of the honey drug,
the second was given a dosage of liquid DM (an over-the-counter cough medicine), and
the third (control group) received a liquid placebo (no dosage at all). After administering
the medicine to their coughing child, parents rated their children’s cough diagnosis as
either better or worse. The results are shown in the table below:
9)
Diagnosis
Treatment Better Worse Total
Control
4
33
37
DM
12
21
33
Honey
24
11
35
Total
40
65
105
Determine whether the treatment group is independent of the coughing diagnosis using a
two-way chi-square test. Use = 0.05.
10) The data below show the age and favorite type of music of 779 randomly selected people.
Test the claim that age and preferred music type are independent. Use = 0.05.
Age
Country Rock Pop Classical
15 – 21
21
45
90
33
21 – 30
68
55
42
48
30 – 40
65
47
31
57
40 – 50
60
39
25
53
3
10)