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the teachers union is concerned about how much time teachers spend each week doing schoolwork at home. A simple random sample of 56 teachers had a mean of 8.0 hours per week working at home after school. The sample Standard deviation is 1.5 hours per week.

User Schingeldi
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The questions focus on performing hypothesis tests and interpreting their results in educational contexts. Statistical reasoning and proper context are emphasized to draw correct conclusions from data collected via surveys and samples.

The subject of the question is concerned with analyzing data collected from teachers, students, and teenagers to perform various hypothesis tests related to time spent on schoolwork, homework, and phone usage. These tests involve formulating null and alternative hypotheses, determining which statistical distributions to use, and interpreting the results in context. For example, when testing the claim that college students spend less than 20 hours studying per week, with a sample showing a mean of 18.5 hours and a standard deviation of 1.5 hours, a t-distribution is used due to the small sample size and because the population standard deviation is unknown.

Interpreting survey results requires understanding the context of data collection to avoid incorrect conclusions, such as erroneously asserting that two-thirds of students are truants based on the time-of-day sampling method.

User Tom Pietrosanti
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