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A researcher collated data on Americans’ leisure time activities. She found the mean number of hours spent watching television each weekday to be 2.7 hours with a standard deviation of 0.2 hours. Jonathan believes that his football team buddies watch less television than the average American. He gathered data from 40 football teammates and found the mean to be 2.3. Which of the following are the correct null and alternate hypotheses?

Verified Answer :

MrRoyal

The null and the alternate hypotheses are:

  • \(H_o: \mu =2.7\)
  • \(H_a: \mu <2.7\)

The given parameters are:

  • Sample size: n = 40
  • Population mean: \(\mu = 2.7\).
  • Standard deviation: \(\sigma = 0.2\).
  • Sample mean: \(\bar x = 2.3\)

The null hypothesis of an experiment, always use the equality sign.

So, we have the null hypothesis to be:

\(H_o: \mu =2.7\)

Given that the sample mean (2.3) is less than the population mean (2.7), the alternate hypothesis is \(H_a: \mu <2.7\)

Read more about hypothesis at:

https://brainly.com/question/15980493

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