Identification of the Null and Alternative Hypotheses Questions

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Mathematics

Description

  1. Context
  2. Do undergraduates sleep less than graduate students?A student conducted a study of sleep habits at a large state university. His hypothesis is that undergraduates will party more and sleep less than graduate students. He surveyed random samples of 75 undergraduate students and 50 graduate students. Subjects reported the hours they sleep in a typical night.For this hypothesis test, he defined the population means as follows:
    • 𝜇1ÎŒ1 is the mean number of hours undergraduate students sleep in a typical night.
    • 𝜇2 ÎŒ2is the mean number of hours graduate students sleep in a typical night.

    Variables

    Hours: typical number of hours a student sleeps each night
    Program: undergraduate or graduate
  3. Prompt

    1. State the null and alternative hypotheses. Include a clear description of the populations and the variable.
    2. Explain why we can safely use the two-sample T-test in this case.
    3. State a conclusion in the context of this problem.
    4. answer all the questions from the prompt
  4. No outside sources at all.
  5. https://www.statcrunch.com/app/?dataid=3746944&tok... use this graph to answer the prompt

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Explanation & Answer

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1.
State the null and alternative hypotheses. Include a clear description of the populations and the
variable.
The population are all undergraduate students and all graduate students. There are
two variables the number of hours a student sleeps each night and the groups, either
undergraduate or graduate.
Null hypothesis:
In words: undergraduates sle...


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