Researchers have claimed that the average number of headaches per student during a semester of Statistics is 11. In a sample of n = 16 students the mean is 12 headaches with a deviation of 2.4. Which of the following represent the null and alternative hypotheses necessary to test the students' belief? A) H0: μ = 11 vs. Ha: μ > 11 B) H0: μ = 11 vs. Ha: μ < 11 C) H0: μ < 11 vs. Ha: μ = 11 D) H0: μ = 11 vs. Ha: μ ≠ 11

A) H0: μ = 11 vs. Ha: μ > 11

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

Therefore, for the case above;

The null hypothesis is that the average number of headaches per student during a semester of Statistics is 11.

H0: μ = 11

The alternative hypothesis is that the average number of headaches per student during a semester of Statistics is greater than 11.

Ha: μ > 11

its a little blurry tbh

step-by-step explanation:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq