Suppose the mean wait-time for a telephone reservation agent at a large airline is 41 seconds. A manager with the airline is concemed that business may be lost due to customers having to wait too long for an agent. To address this concern, the manager develops new airline reservation policies that are intended to reduce the amount of time an agent needs to spend with each customer. A random sample of 250 customers results in a sample mean wait-time of 40.2 seconds with a standard deviation of 4.3 seconds. Using a =0.05 level of significance, do you believe the new policies were effective in reducing wait time? Do you think the results have any practical significance? Determine the null and alternative hypotheses. 41 seconds 41 seconds Ho: H: Calculate the test statistic. 6-0 (Round to two decimal places as needed.) Calculate the P-value. P-value =O (Round to three decimal places as needed.) State the conclusion for the test. OA. Reject Ho because the P-value is greater than the a= 0.05 level of significance. O B. Reject H, because the P-value is less than the a= 0.05 level of significance. O. Do not reject Ho because the P-value is lessthan the a= 0.05 level of significance. OD. Do not reject Ho because the P-value is greater than the a = 0.05 level of significance. State the conclusion in context of the problem. There sufficient evidence at the a = 0.05 level of significance to conclude that the new policies were effective. Do you think the results have any practical significance? OA. No, because while there is significant evidence that shows the new policies were effective in lowering the mean wait-time of customers, the difference between the previous mean wait-time and the new mean wait-time is not large enough to be considered important. O B. Yes, because the test concluded that there is a significant difference between the two mean wait-times. Therefore, there is a practical significance. Oc. Yes, because while there is no significant evidence that shows the new policies were effective in lowering the mean wait-time of customers, the difference between the previous mean wait-time and the new mean wait-time is large enough to be considered important. OD. No, because the test concluded that there is no significant difference between the two mean wait-times. Therefore, there is no practical significance.
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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