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Answer:
The t-statistic that Jacob calculates is
Step-by-step explanation:
Jacob knows that the adult population gets, on average, eight hours of sleep each night. A hypothesis test can help him see if college students are different from the adult population.
At the null hypothesis, we test if the mean is of 8 hours, that is:
At the alternative hypothesis, we test if the mean is different of 8 hours, that is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
8 is tested at the null hypothesis:
This means that
From a sample of 101 students, Jacob tabulated that his sample of students got an average of 7.3 hours of sleep each night, with a standard deviation of 2.6.
This means that
What is the t-statistic that Jacob calculates?
The t-statistic that Jacob calculates is