A study randomly assigned adult subjects to one of three exercise treatments: (1) a single long exercise period five days per week; (2) several ten-minute exercise periods five days per week; and (3) several ten-minute periods five days per week using a home treadmíll. The study report contains the following summary statistics about weight loss (in kilograms) after six months of treatment: Does the type of exercise treatments influence weight loss significantly? Use a = 5%. Treatment Long periods Multiple short periods Multiple short periods with treadmill Mean Std. Dev.n 13.8 11.0 13.5 2.2 2.5 3.2 Compute the p -value and make a decision O The p-value is between 0.05 and 0.10, reject the null hypothesis O The p-value is between 0.05 and 0.10, fail to reject the null hypothesis O The p-value is between 0.025 and 0.05, fail to reject the null hypothesis

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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.