Consider the hypothesis test H0: μ1= μ2 against H1: μ1Image for Consider the hypothesis test H0: mu1= mu2 against H1:mu1mu2. Suppose that the sample sizes aren1 = 15 and n2 =μ2. Suppose that the sample sizes aren1 = 15 and n2 = 15, that Image for Consider the hypothesis test H0: mu1= mu2 against H1:mu1mu2. Suppose that the sample sizes aren1 = 15 and n2 = = 4.7 and Image for Consider the hypothesis test H0: mu1= mu2 against H1:mu1mu2. Suppose that the sample sizes aren1 = 15 and n2 = = 7.8 and that s21 = 4 ands22 = 6.25. Assume thatσ21 = σ22 andthat the data are drawn from normal distributions. Use α =0.05.
(a) Test the hypothesis and find the P-value.
(b) Explain how the test could be conducted with a confidenceinterval.
(c) What is the power of the test in part (a) for a truedifference in means of 3?
(d) Assuming equal sample sizes, what sample size should beused to obtain β = 0.05 if the true difference in means is -2?Assume that α = 0.05.

Match the following terms with their definitions. 1. bisector of a segment ray ba and ray bc are opposite rays if a, b, and c are collinear and b (the endpoint of both rays) is between a and c. 2. opposite rays a ray, , is the set of points beginning at point a and going infinitely in the direction of point b. 3. collinear points a line or segment that intersects the segment at its midpoint. 4. betweenness of points a set of two or more points all on the same line. 5. ray the distance between the endpoints of a segment. 6. space point b is between a and c if a, b, and c are collinear and the equation ab + bc = ac is true, where ab, bc, and ac are the distances between points a and b, b and c, and a and c, respectively. 7. midpoint of a segment a set of two or more points all on the same plane. 8. coplanar points the point on a segment that divides the segment into two equal segments. 9. length of a segment the set of all possible points. 10. line segment the set of two different endpoints and all points between them.

The length of a shadow of the building is 36m. the length of the pole, which is perpendicular to the ground, is 1.9m. the length of the pole's shadow is 1.52m. what is the height of the building?

According to the general equation for conditional probability if p(anb)=3/7 and p(b)=7/8 what is p(a i b)