A sample of 16 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight of each bag was then recorded. The mean weight was 2 ounces with a standard deviation of 0.12 ounces. The population standard deviation is known to be 0.1 ounce. NOTE: If you are using a Student's t-distribution, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) Find the following. (Round your answers to two decimal places.) (1) x= (ii) (iii) S,= O Part (b) O Part (c) O Part (d) Which distribution should you use for this problem? (Round your answers to three decimal places.) X-? v Explain your choice. O The standard normal distribution should be used because the population standard deviation is known. O The Student's t-distribution should be used because the sample standard deviation is given. O The standard normal distribution should be used because the sample standard deviation is known. O The Student's t-distribution should be used because the sample size is small.

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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.