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homework number 1 for statistics 220, Assignments of Statistics

homework number 1 for statistics 220

Typology: Assignments

2019/2020

Uploaded on 01/31/2022

jeliyah-mohammadi
jeliyah-mohammadi 🇺🇸

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CH 1
17. Suppose a researcher would like to determine whether one grade of gasoline produces better
gas mileage than another grade. Twenty cars are randomly divided into two groups, with 10 cars
receiving one grade and 10 receiving the other. After many trips, average mileage is computed
for each car. a. Would it be easier to detect a difference in gas mileage for the two grades if the
20 cars were all the same size, or would it be easier if they covered a wide range of sizes and
weights? Explain. b. What would be one disadvantage to using cars that were all the same size?
It would be easier to detect a difference in gas mileage for the two grades if the 20 cars
were all the same size because if all the cars were the same size, you can clearly see the
difference between the gasolines if all of the cars had the same mileage, etc. One
disadvantage would be
22. Refer to the definitions of sample and population on page 7. For each of the following,
explain who is in the sample, and what population you think is represented. a. Case Study 1.1,
testing the effect of a heartbeat sound in a baby nursery. b. Case Study 1.2, testing the effect of
taking aspirin on heart attack rates.
A. The sample in this case study would be the babies in the nursery at the New York City
Hospital who had the continuous sound of a human heartbeat playing on the speaker. The
population in this case would be both of the groups in the nursery who were studied.
B. The sample in this case study would be the group of men taking the aspirin pill. The
population would be the two groups of the men who took the aspirin pill and the placebo
pill with no active ingredient.
CH 2
8. (change scenario to a wine company that is planning to fund a telephone survey of
attitudes about decreasing the age for purchasing/drinking wine to 18 years old),
In each of the following phases of the survey, should the company disclose who is funding the
study? Explain your answer in each case. a. When respondents answer the phone, before they are
interviewed. b. When the survey results are reported in the news. c. When the interviewers are
trained and told how to conduct the interviews.
A. No, the respondents should not be told the funding of the study before they are
interviewed because it may influence the respondents original answer, and will make the
results biased.
B. Yes, the company should reveal who is funding the study when the results are reported
in the news because this gives the respondents and the interviewers the full story and data
about the survey they took, giving them a disclosure.
C. No, the interviewer should not be told who is funding the story because this can
influence the way they interview their respondents. They can be more manipulative,
which can lead to bias results as well.
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CH 1

  1. Suppose a researcher would like to determine whether one grade of gasoline produces better gas mileage than another grade. Twenty cars are randomly divided into two groups, with 10 cars receiving one grade and 10 receiving the other. After many trips, average mileage is computed for each car. a. Would it be easier to detect a difference in gas mileage for the two grades if the 20 cars were all the same size, or would it be easier if they covered a wide range of sizes and weights? Explain. b. What would be one disadvantage to using cars that were all the same size? ● It would be easier to detect a difference in gas mileage for the two grades if the 20 cars were all the same size because if all the cars were the same size, you can clearly see the difference between the gasolines if all of the cars had the same mileage, etc. One disadvantage would be
  2. Refer to the definitions of sample and population on page 7. For each of the following, explain who is in the sample, and what population you think is represented. a. Case Study 1.1, testing the effect of a heartbeat sound in a baby nursery. b. Case Study 1.2, testing the effect of taking aspirin on heart attack rates. ● A. The sample in this case study would be the babies in the nursery at the New York City Hospital who had the continuous sound of a human heartbeat playing on the speaker. The population in this case would be both of the groups in the nursery who were studied. ● B. The sample in this case study would be the group of men taking the aspirin pill. The population would be the two groups of the men who took the aspirin pill and the placebo pill with no active ingredient. CH 2
  3. (change scenario to a wine company that is planning to fund a telephone survey of attitudes about decreasing the age for purchasing/drinking wine to 18 years old), In each of the following phases of the survey, should the company disclose who is funding the study? Explain your answer in each case. a. When respondents answer the phone, before they are interviewed. b. When the survey results are reported in the news. c. When the interviewers are trained and told how to conduct the interviews. ● A. No, the respondents should not be told the funding of the study before they are interviewed because it may influence the respondents original answer, and will make the results biased. ● B. Yes, the company should reveal who is funding the study when the results are reported in the news because this gives the respondents and the interviewers the full story and data about the survey they took, giving them a disclosure. ● C. No, the interviewer should not be told who is funding the story because this can influence the way they interview their respondents. They can be more manipulative, which can lead to bias results as well.
  1. Refer to the definition of data on page 18. In Hypothetical News Article 3 on page 27, what two pieces of data were collected on each dog? For each one, explain whether it was collected separately for each dog or for the dogs as a group. ● The two pieces of data that were collected was the amount of time through which any barking was heard, and the drug given to one group of the dogs. The amount of time was collected for the dogs as a group, but for the drug, that was given to each dog separately.
  2. An advertisement for a cross-country ski machine, NordicTrack, claimed, “In just 12 weeks, research shows that people who used a NordicTrack lost an average of 18 pounds.” Explain how each of the following components should have been addressed if the research results are fair and unbiased. a. Component 3: The individuals or objects studied and how they were selected. b. Component 4: The exact nature of the measurements made or questions asked. c. Component 5: The setting in which the measurements were taken. d. Component 6: Differences in the groups being compared, in addition to the factor of interest ● A. The individuals studied should have been a group of both men and women to be fair, and so results can come out fair and not just for one gender. The individuals should also be randomized, and not a voluntary response because if it was a voluntary response, results are most likely to be biased. ● B. the exact measurements of the weight lost should be measured. Since it is an advertisement for the product, they might exaggerate the truth to make their product seem better. ● C. The setting should be in person to make sure both the people being studied and the researchers see in person how much weight is actually being lost. If they were to do it over the phone or a survey, the people being studied can lie about the weight lost just to please the researchers, or because they’re cautious about their own weight. ● D. The differences in this case would be how much each person exercises per day with this machine, the age range, and gender. These differences actually make a big difference because it might take a more heavy weight male longer hours to lose 18 pounds than an average weight woman. CH 3
  3. Here is a potential survey question: “Studies have shown that consuming one alcoholic drink daily helps reduce heart disease. How many alcoholic drinks do you consume daily?” a. Explain which two of the seven pitfalls listed in Section 3.2 are most problematic for this question. b. Reword the question so that it avoids the seven pitfalls. ● The two pitfalls in this question would be desire to please and confidentiality vs anonymity. I say desire to please, because the way this question is worded leads the respondent with only one answer, they want to answer with what makes them look best, since the question states something positive about alcohol then asks how much alcohol you drink daily. I also said confidentiality vs. anonymity because the respondents could