A survey of 381 adult females produced a mean height of 65.2 inches with a standard deviation of 2.8 inches. Construct a confidence interval based on a 95% confidence level. (64.83, 65.57)
(65.19, 65.21)
(64.96, 65.44)
(64.92, 65.48)

(64.92, 65.48)

Step-by-step explanation:

The given details are;

The number of adults in the survey, n = 381 adults

The mean height of the adults in the survey, = 65.2 inches

The standard deviation of the height of the adults in the survey, s = 2.8 inches

The confidence interval is given as follows;

The test statistic for a 95% confidence interval with α = 0.05, the degrees of freedom, df = n-1 = 381 - 1 = 380,   = =  1.97

Therefore, we get;

C.I =

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

step-by-step explanation: