An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 90% confidence that the sample mean is within 2 1Q points of the true mean. Assume that e= 10 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size isO (Round up to the nearest integer.)
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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Since we know population standard deviation, use z-distribution to find z-critical value.
Find z-critical value:
For the two-tail test, Area on each tail.
Area to the left of the normal curve = 1-0.05 = 0.95
Refer to Standard normal table/Z-table, Lookup for z-score corresponding to area 0.95 to the left of the normal curve OR use excel formula "=NORM.S.INV(0.95)" to find the z-score.
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