Fairfield Homes is developing two parcels near Pigeon Fork, Tennessee. In order to test different advertising approaches, it uses different media to reach potential buyers. The mean annual family income for 18 people making inquiries at the first development is $165,000, with a standard deviation of $36,000. A corresponding sample of 28 people at the second development had a mean of S179,000, with a standard deviation of $25,000. Assume the population standard deviations are the same. At the 0.02 significance level, can Fairfield conclude that the population means are different? At the 0.02 significance level, can Fairfield conclude that the population means are different? a. What are the null and alternate hypotheses? O HO: MiZ H2 Hi M# P2 O Ho: Hi # H2 Hi Mn = 42 b. Compute the test statistic. (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places.) Test statistic c. Compute the p-value. NOTE: P-value calculators are available through online search. (Round your answer to 4 decimal places.) p-value

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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.

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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.