It is recommended that adults get 8 hours of sleep each night. A researcher hypothesized college students got less than the reco
mmended number of hours of sleep each night, on average. The researcher randomly sampled 20 college students and found no evidence to reject the null hypothesis at the 5% significance level. What is true regarding the p-value from this hypothesis test?
In this case, since there is no evidence to reject the null hypothesis, H0, at 0.05 level of significance, we can say that the p-value is greater than the level of significance, 0.05.
To solve this we are going to use the average rate of change formula: where is the average rate of change of the function is the position function evaluated at is the position function evaluated at is the first point in the interval is the second point in the interval
We can infer for our problem that the first point is 3 and the second point is 6, so and . Lets replace those values in our formula:
We can conclude that the average rate of change of the function f(x) = 1 x - x2 - 2 for <span>3 ≤ x ≤ 6 is -8</span>