In a randomized comparative experiment on the effect of calcium in the diet on blood pressure, researchers divided 50 healthy white males at random into two groups. One received calcium; the other, a placebo. At the beginning of the study, the researchers measured many variables on the subjects. The paper reporting the study gives x = 121.7 and s = 8.2 for the seated systolic blood pressure of the 25 members of the placebo group. (a) Give a 80% confidence interval for the mean blood pressure in the population from which the subjects were recruited. lower bound upper bound (b) What conditions about the population and the study design are required by the procedure you used in (a)? (Select all that apply.) O The sample can be viewed as an SRS of the population. O The distribution of seated systolic BP in this population is roughly normal. O The data show outliers and strong skewness. O The sample size is considered large enough to proceed. Which of these conditions are important for the validity of the procedure in this case? (Select all that apply.) O The sample can be viewed as an SRS of the population. O The distribution of seated systolic BP in this population is roughly normal. The data show outliers and strong skewness. OThe sample size is considered large enough to proceed. O O O 0

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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.