Question 6. Inference on the variance of a normal population. In a random sample from a normal population with unknown variance, the 95% two-sided confidence interval on the variance, o?, was found to be 0.2 < o? < 0.8. An analyst will use this interval to test the null hypothesis Ho: o2 = 0.6 against the two-sided alternative H1: o2 + 0.6 at the significance level a=0.05. What is the conclusion of the two-sided test? Select one: a. Fail to reject the null hypothesis, Ho. b. Fail to reject both the null and the alternative hypotheses с. Reject the null hypothesis, Ho. d. We do not have sufficient information to reach a conclusion in this test

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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.