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Use the following data to answer the next five exercises: 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. They collect the following data.

Researcher A concludes that most students play video games between four and six hours each week. Researcher B concludes that most students play video games between two and four hours each week. Who is correct?

Short Answer

Expert verified

Both of the researchers are correct.

Step by step solution

01

Concept Introduction

The sample is a portion of the population that is chosen and analyzed in order to derive conclusions about the entire population of interest in statistics.

02

Explanation

The outcome depends on the nature of the samples. Each research results are true for their respective age groups because both researchers used a distinct sample, which may differ due to the age group included in the samples. As a result, we can infer that both researchers are correct.

03

Final answer

Both of the researchers are correct since the samples used for research differ.

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Most popular questions from this chapter

Use the following data to answer the next five exercises: 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. They collect the following data.

Give a reason why the data may differ.

Use the following information to answer the next seven exercises: Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment program. Suppose that a new AIDS antibody drug is currently under study. It is given to patients once the AIDS symptoms have revealed themselves. Of interest is the average (mean) length of time in months patients live once starting the treatment. Two researchers each follow a different set of 40 AIDS patients from the start of treatment until their deaths. The following data (in months) are collected.

Researcher A: 3; 4; 11; 15; 16; 17; 22; 44; 37; 16; 14; 24; 25; 15; 26; 27; 33; 29; 35; 44; 13; 21; 22; 10; 12; 8; 40; 32; 26; 27; 31; 34; 29; 17; 8; 24; 18; 47; 33; 34

Researcher B: 3; 14; 11; 5; 16; 17; 28; 41; 31; 18; 14; 14; 26; 25; 21; 22; 31; 2; 35; 44; 23; 21; 21; 16; 12; 18; 41; 22; 16; 25; 33; 34; 29; 13; 18; 24; 23; 42; 33; 29

Suppose that the second researcher conducted his survey by choosing 40 patients he knew. What sampling method would that researcher have used? What concerns would you have about this data set, based upon the data collection method?

Insurance companies are interested in the mean health costs each year of their clients, so that they can determine the costs of health insurance.

Use the following information to answer the next two exercises: Table 1.38contains data on hurricanes that have made direct hits on the U.S. Between 1851and 2004. A hurricane is given a strength category rating based on the minimum wind speed generated by the storm.

What is the relative frequency of direct hits that were AT MOST a category 3 storm?

a. 0.3480

b. 0.9231

c. 0.2601

d. 0.3370

Discuss potential violations of the rule requiring informed consent.

a. Inmates in a correctional facility are offered good behavior credit in return for participation in a study.

b. A research study is designed to investigate a new childrenโ€™s allergy medication.

c. Participants in a study are told that the new medication being tested is highly promising, but they are not told that only a small portion of participants will receive the new medication. Others will receive placebo treatments and traditional treatments.

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