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Homework answers / question archive / STAT 200 Week 1 Homework Problems 1) 1
STAT 200 Week 1 Homework Problems
1) 1.1.4 To estimate the percentage of households in Connecticut which use fuel oil as a heating source, a researcher collects information from 1000 Connecticut households about what fuel is their heating source. State the individual, variable, population, sample, parameter, and statistic
2) 1.1.8 The World Health Organization wishes to estimate the mean density of people per square kilometer, they collect data on 56 countries. State the individual, variable, population, sample, parameter, and statistic
3) 1.2.4 You wish to determine the GPA of students at your school. Describe what process you would go through to collect a sample if you use a stratified sample.
4) 1.3.4 To evaluate whether a new fertilizer improves plant growth more than the old fertilizer, the fertilizer developer gives some plants the new fertilizer and others the old fertilizer. Is this an observation or an experiment? Why?
5) 1.3.10 A mathematics instructor wants to see if a computer homework system improves the scores of the students in the class. The instructor teaches two different sections of the same course. One section utilizes the computer homework system and the other section completes homework with paper and pencil. Are the two samples matched pairs or not? Why or why not? between either the teaching systems or the student groups that could be considered "matching"?
6) 1.3.16 To determine if a new medication reduces headache pain, some patients are given the new medication and others are given a placebo. Neither the researchers nor the patients know who is taking the real medication and who is taking the placebo. Is this a blind experiment, double blind experiment, or neither? Why?
7) 1.4.2 Suppose a car dealership offers a low interest rate and a longer payoff period to customers or a high interest rate and a shorter payoff period to customers, and most customers choose the low interest rate and longer payoff period, does that mean that most customers want a lower interest rate? Explain.
8) 1.4.8 Suppose a telephone poll is conducted by contacting U.S. citizens via landlines about their view of gay marriage. Suppose over 50% of those called do not support gay marriage. Does that mean that you can say over 50% of all people in the U.S. do not support gay marriage? Explain
9) 1.4.14 An employee survey says, “Employees at this institution are very satisfied with working here. Please rate your satisfaction with the institution.” Discuss how this question could create bias.
10) 2.1.4 In Connecticut households use gas, fuel oil, or electricity as a heating source. Table #2.1.7 shows the percentage of households that use one of these as their principle heating sources ("Electricity usage," 2013), ("Fuel oil usage," 2013), ("Gas usage," 2013). Create a bar chart and pie chart of this data. State any findings you see from the graphs.
Table #2.1.7: Data of Household Heating Sources
|
Heating Source |
Percentage |
|
Electricity |
15.3% |
|
Fuel Oil |
46.3% |
|
Gas |
35.6% |
|
Other |
2.8% |
Answer1:
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1. Households in Connecticut
2. % of Connecticut households that use fuel oil as a heating source.
3. all Connecticut household responses on the heating source.
4. 1,000 household responses from Connecticut as to the source of heating.
5. percent of those that use fuel oil as a heating source calculated from the Connecticut household population.
6. Percentage of people who use fuel oil as a heating source calculated from Connecticut's 1,000 household sample. |
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Population: 3
Parameter: 7
Individual: 1
Sample: 4
Variable: 2
Statistic: 6
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Answer 2:
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Individual 1 |
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Variable 6 |
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Statistic. 2 |
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Sample 4 |
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Parameter 5 |
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Population 3
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Answer 3:
1. Get a list of all the students in the school to the Registrar's office.
2. Divide students into various groups per major.
3. Picking students from each major using a random number generator will allow you to record their GPAs for each sample.
4. Provide a number for each student.
5. Choose some majors at random with a random number generator, and use the GPA of all students to register them in those majors.
6. Break students down according to their major.
7. Pick a random number as your starting point, then count from the top of the list to the starting point. Then select all 50 year-old students from among t.
Answer 4:
Experiment: you have imposed treatment *a new fertilizer on some plants, and old on others* to determine the effect.
Answer 5:
Yes! The instructor uses two different instructional systems, one out of two sets of different students.
Answer 6:
DOUBLE-BLIND: Patients and researchers do not know who is taking the actual drug and who is taking the placebo.
Answer 7:
NO: Given that the interest rate and the duration of the repayment period are two variables, we are not able to conclude that customers want the lower interest rate, regardless of the duration.
Answer 8:
NO: Because only people surveyed were those in the US with landlines. What about the people without a landlord phones?
Answer 9:
YES: The question has an answer to itself, which could distort the actual response of the respondent to the survey.
Answer 10:
