To estimate the mean score u of those who took the Medical College Admission Test on your campus, you will obtain the scores of an SRS of students. From published information you know that the scores are approximately Normal with standard deviation about 6.2. You want your sample mean i to estimate u with an error of no more than 1.4 point in either direction. (a) What standard deviation must i have so that 99.7% of all samples give an i within 1.4 point of u? Use the 68–95-99.7 rule. (Enter your answer rounded to four decimal places.) standard deviation of x = (b) How large an SRS do you need in order to reduce the standard deviation of x to the value you found? (Enter your answer rounded to the nearest whole number.) SRS size =
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.
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