A random sample of pre-school children was taken. Each child was asked to draw a nickel. The diameter of the nickel drawn was recorded. Their parents' incomes were recorded. The mean diameter of the children from lower income families was compared to the mean diameter of the children from high income families. Test the claim that the mean nickel diameter drawn by children from the lower income group is larger than the mean nickel diameter drawn by children from the high income group. Use a significance level of 0.1. For the lower income group, x = 23.88, s = 5.617, n = 40. For the high income group, = 19.97, s = 3.276, n = 35. %3D The population standard deviations are unknown and assumed unequal. a) If we use L to denote the low income group and H to denote the high income group, identify the correct alternative hypothesis. O Ha: HL # HH O Ha: HL < µH O Ha:HL > HH На : PL < рн На: pL + рн O Ha:PL > PH b) The test statistic value is: c) Based on this, we O Reject Ho Fail to reject Ho
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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