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Reconsider Dr. Sameer's research question about how much time Cal Poly students spend on watching television....

Reconsider Dr. Sameer's research question about how much time Cal Poly students spend on watching television. Suppose that for the random sample of 100 Cal Poly students the mean number of hours per day spent watching TV turns out to be 3.01 hours, and the standard deviation of the number of hours per day spent watching TV turns out to be 1.97 hours.

  1. Is the number 1.97 a parameter or a statistic? Assign an appropriate symbol to this number.
  2. Find the standardized statistic to investigate whether the data provide evidence that the average number of hours per day Cal Poly students spend watching TV is different from 2.75 hours.
  3. What is your conclusion about the hypotheses, based on the calculated value of the standardized statistic? How are you deciding?
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Answer #1

1.97 is the value of sample standard deviation and its symbol is s

Now as sample size is large enough test statistics is

Here claim is that mean is different from 2.75, so hypothesis is

So P value is

Hence we fail to reject the null hypothesis, which means we do not have sufficient evidence to support the claim that mean is different from 2.75

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