2. A study based on a sample size of 36 reported a mean of 87 with a margin of error of 10 for 95% confidence. a. Give the 95% confidence interval. b. If you wanted 99% confidence for the same study, would your margin of error be greater than, equal to, or less than 10? 3. The Student Monitor surveys 1200 undergraduates from 100 colleges semiannually to understand trends among college students. Recently, the Student Monitor reported that the average amount of time spent per week on the Internet was 19.0 hours. Assume that the standard deviation is 5.5 hours. Give a 95% confidence interval for the mean time spent per week on the Internet.
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.
2. A study based on a sample size of 36 reported a mean of 87 with a margin of error of 10 for 95% confidence.
a. Give the 95% confidence interval.
b. If you wanted 99% confidence for the same study, would your margin of error be greater than, equal to, or less than 10?
3. The Student Monitor surveys 1200 undergraduates from 100 colleges semiannually to understand trends among college students. Recently, the Student Monitor reported that the average amount of time spent per week on the Internet was 19.0 hours. Assume that the standard deviation is 5.5 hours. Give a 95% confidence interval for the mean time spent per week on the Internet.
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