Astudy was done to determine the average number of homes that a homeowner owns in his or her lifetime. for the 60 homeowners surveyed, the sample average was 4.2 and the sample standard deviation was 2.1. calculate the 95% confidence interval for the true average number of homes that a person owns in his or her lifetime.
a) (3.90, 4.50)
b) (3.66, 4.74)
c) (4.01, 4.39)
d) (3.67, 4.73)

D) (3.67, 4.73)

Step-by-step explanation:

Confidence Interval for the true average number of homes that a person owns in his or her lifetimecan be calculated using M±ME where

And margin of error (ME) can be calculated as

ME= where

Putting the numbers we get ME=≈0.53

Then the 95% confidence interval is 4.2±0.53 or (3.67, 4.73)

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

3; 9 is 8 to -4

step-by-step explanation: