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An illustration showcasing the Rathburn Manufacturing Company, distinguishable by its emblem of electric wiring. Display a vivid depiction of the production process of electric wiring, intertwining down the assembly line. Nearby, construct a representation of the construction industry, with a couple contractors of varying descents and genders, discussing plans while holding blueprints. Include an implied satisfaction survey held by one of the contractors, distinguished by checkmarks and scales, without explicit text. The contractors should visually be different, representing the diversity among the 900 contractors, but only a select 35 are holding the survey, illustrating the sample size.

2. The Rathburn Manufacturing Company makes electric wiring, which it sells to contractors in the construction industry. Approximately 900 electric contractors purchase wire from Rathburn annually. Rathburn's director of marketing wants to determine electric contractors' satisfaction with Rathburn's wire. He developed a questionnaire that yields a satisfaction score between 10 and 50 for participant responses. A random sample of 35 of the 900 contractors is asked to complete a satisfaction survey. The satisfaction scores for the 35 participants are averaged to produce a mean satisfaction score.

a) What is the population for this study?
b) What is the sample for this study?
c) What is the statistic for this study?
d) What would be a parameter for this study?

900 is the population because that is your total pool. The 35 who receive the survey are the sample. See the key words "random sample"

the statistic is the value you get from the results of the survey which is the mean of the satisfaction score.

We don't really have a parameter.. That would be the mean satisfaction score for all 900. However, we could certainly use our statistic to predict a possible parameter.

In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible response was 5.5 with a standard deviation of 2.1. and 10 represents the best possible life. The mean (a) What response represents the 92nd percentile? (b) What response represents the 56th percentile? (c) What response represents the first quartile?

a) The population for this study would be the 900 electric contractors who purchase wire from the Rathburn Manufacturing Company.

b) The sample for this study would be the random sample of 35 electric contractors who were asked to complete the satisfaction survey.

c) The statistic for this study would be the mean satisfaction score calculated from the satisfaction scores of the 35 participants in the sample.

d) The parameter for this study would be the mean satisfaction score of all 900 electric contractors who purchase wire from Rathburn.

a) The population for this study is the entire population of electric contractors who purchase wire from Rathburn Manufacturing Company annually. In this case, the population consists of 900 electric contractors.

b) The sample for this study is the random sample of 35 electric contractors who were asked to complete the satisfaction survey. This sample is a subset of the larger population.

c) The statistic for this study is the mean satisfaction score calculated from the 35 participants who completed the survey. The statistic in this case is the sample mean.

d) The parameter for this study would be the population mean satisfaction score. Since it is not possible to survey all 900 electric contractors in the population, the parameter represents the true average satisfaction score of all contractors. However, it is estimated by using the sample mean as an approximation.

What is the sample for this study?