Which of the following statements are true concerning the mean of the differences between two dependent samples (matched pairs)? Select all that apply. O A. If one has twenty matched pairs of sample data, there is a loose requirement that the twenty differences appear to be from a normally distributed population. O B. The requirement of a simple random sample is satisfied if we have independent pairs of voluntary response data. O C. If one wants to use a confidence interval to test the claim that H, >0 with a 0.01 significance level, the confidence interval should have a confidence level of 98%. O D. The methods used to evaluate the mean of the differences between two dependent variables apply if one has 40 weights of taxpayers from Ohio and 40 weights of taxpayers from California. O E. If one has more than 10 matched pairs of sample data, one can consider the sample to be large and there is no need to check for normality.

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.