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Ch. 1 - Introduction to Statistics
Larson - Elementary Statistics: Picturing the World 8th Edition
Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470Not the one you use?Change textbook
Chapter 1, Problem 1.T.3c

Identify the sampling technique used, and discuss potential sources of bias (if any). Explain.
Questioning teachers as they leave a faculty lounge, a researcher asks 45 of them about their teaching styles.

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Step 1: Identify the sampling technique used. In this scenario, the researcher is questioning teachers as they leave a faculty lounge. This is an example of convenience sampling, where participants are selected based on their availability and proximity to the researcher.
Step 2: Understand the characteristics of convenience sampling. Convenience sampling is a non-probability sampling method, meaning not all members of the population have an equal chance of being selected. It is often used for its ease and speed but may not represent the entire population accurately.
Step 3: Discuss potential sources of bias. Convenience sampling can introduce selection bias because the sample may not be representative of the entire population of teachers. For example, teachers who frequent the faculty lounge may have different teaching styles compared to those who do not.
Step 4: Consider response bias. Teachers may feel pressured to provide socially desirable answers or may not fully disclose their teaching styles due to the informal nature of the questioning.
Step 5: Suggest improvements. To reduce bias, the researcher could use a random sampling technique, such as simple random sampling or stratified sampling, ensuring that all teachers have an equal chance of being selected and that the sample is more representative of the population.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Sampling Technique

The sampling technique refers to the method used to select individuals from a population for a study. In this case, the researcher is using a convenience sampling technique, as they are questioning teachers who are readily available in the faculty lounge. This method is often easy and quick but may not represent the entire population accurately.
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Sampling Distribution of Sample Proportion

Bias in Sampling

Bias in sampling occurs when certain members of a population are systematically more likely to be selected than others, leading to an unrepresentative sample. In this scenario, the potential bias arises from only sampling teachers who are present in the lounge, which may exclude those who are busy, absent, or prefer not to engage, thus skewing the results.
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Sampling Distribution of Sample Proportion

Generalizability

Generalizability refers to the extent to which findings from a sample can be applied to the broader population. Due to the convenience sampling method used in this study, the results may lack generalizability, as the sample may not reflect the diverse teaching styles of all teachers in the institution, limiting the conclusions that can be drawn.
Related Practice
Textbook Question

A company wants to test the effectiveness of a new acne cream. The company recruits 500 girls ages 13 to 17 who have acne. The subjects are randomly assigned into two groups. One group is given the acne cream and the other is given a placebo that looks exactly like the acne cream. Both groups apply the cream daily for two months. Facial photos are taken at the beginning and end of the treatment to compare results.

Identify the experimental units and treatments used in this experiment.

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Determine whether the survey question is biased. If the question is biased, suggest a better wording.

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Determine whether the data are qualitative or quantitative, and determine the level of measurement of the data set. Explain your reasoning.

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20 11 6 31 17 23 12 18 40 22 13 8 18 14 37 32 25 27 25 18

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Textbook Question

Researchers in Japan tested the effect of cannabidiol (CBD) in treating late teenagers with social anxiety disorder (SAD). Thirty-seven 18- to 19-year-old teenagers with SAD took part in the study. The patients were assigned at random to receive a daily dose of either CBD or a placebo for 4 weeks. Symptoms were measured using The Fear of Negative Evaluation Questionnaire and the Liebowitz Social Anxiety Scale at the beginning and end of the treatment. (Source: Frontiers in Psychology)

a. Identify the experimental units and treatments used in this experiment.

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Textbook Question

Determine whether the survey question is biased. If the question is biased, suggest a better wording.

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Textbook Question

"Researchers in Japan tested the effect of cannabidiol (CBD) in treating late teenagers with social anxiety disorder (SAD). Thirty-seven 18- to 19-year-old teenagers with SAD took part in the study. The patients were assigned at random to receive a daily dose of either CBD or a placebo for 4 weeks. Symptoms were measured using The Fear of Negative Evaluation Questionnaire and the Liebowitz Social Anxiety Scale at the beginning and end of the treatment. (Source: Frontiers in Psychology)

Identify a potential problem with the experimental design being used and suggest a way to improve it."

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