Treatment nị A (T1) 6 B(T2) 6 5.0 10.0 10.0 14.0 Find a 95% confidence interval for T - T2, and give an interpretation.
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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We need to construct the confidence interval for the difference between the population means , for the case that the population standard deviations are not known.
The following information has been provided about each of the samples:
| Sample Mean 1 (A = | |
| Sample Standard Deviation 1 = | |
| Sample Size 1 = | |
| Sample Mean 2 = | |
| Sample Standard Deviation 2 = | |
| Sample Size 2 = |
Based on the information provided, we assume that the population variances are equal, so then the number of degrees of freedom are .
The critical value for and degrees of freedom is
.
The corresponding confidence interval is computed as shown below :
Since the population variances are assumed to be equal, we need to compute the pooled standard deviation, as follows:
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