Respuesta :
The test that we would use to test the hypothesis that the average speed of cars is greater than the speed limit is: One sample t-test
When do we use one sample t-test?
When we want to find out from the sample if the unknown population mean is different from some specific value, then we can use one sample t-test.
The test statistic is:
[tex]t = \dfrac{\overline{x} - \mu_0}{s/\sqrt{n}}[/tex]
where we have:
- [tex]\overline{x}[/tex]= mean of the sample
- s = sample standard deviation
- [tex]\mu_0[/tex] = the specific value we're comparing population mean with.
- n = sample size
- degree of freedom = n - 1
For this case, we want to test the hypothesis that the average speed of cars is greater than the speed limit.
That means we want to know if
unknown population mean (the average speed of cars) > speed limit (45).
symbolically, we want to test if [tex]\mu > 45[/tex] (in miles per hour)
Thus, the test that we would use to test the hypothesis that the average speed of cars is greater than the speed limit is: One sample t-test
Learn more about one sample t-test here:
https://brainly.com/question/25316952
