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Hypothesis Testing - 3 hypothesis

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I am having trouble defining the 3 hypothesis' which is the very first step of this case. I realize that I would be using t-distribution for the first hypothesis, but I'm not sure where to go and I believe it is because I don't follow the way the assignment is worded.

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Using a Hypothesis Testing procedure to analyze data.

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Please see attached the word and EXCEL file.
For Part 3, it was not defined the variable internet usage, so I assumed that X2 is the variable: number of hours of internet usage.

Hypothesis 1
We will perform a Hypothesis Testing for the mea.
Firstly, we will define the Null and the Alternative Hypothesis

In order to verify which of the two Hypothesis is true, we need to compute the Statistics of the test.
Since the sample data we have is 89 which is greater than 30, but we do not know anything about the distribution of the scores, we will use T-statics.
, where:
is the sample mean
is the sample standard deviation
n is the sample number
is the population mean
Now, we plug in the numbers we got in EXCEL, and get:

Now, from the t-table, we will get , where df= n-1=88 are the degrees of freedom and is the level of significance.
Since >, ...

Solution provided by:
Chris Busu, PhD (IP)
Education
  • BSc, University of Bucharest
  • MSc, Ovidius
  • MSc, Stony Brook
  • PhD (IP), Stony Brook
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