See attached for the solution
Answer: (141.1, 156.48)
Step-by-step explanation:
Given sample statistics :
a) We know that the best point estimate of the population mean is the sample mean.
Therefore, the best point estimate of the mean weight of all women =
b) The confidence interval for the population mean is given by :-
, where E is the margin of error.
Formula for Margin of error :-
Given : Significance level :
Critical value :
Margin of error :
Now, the 90% confidence interval for the population mean will be :-
Hence, the 90% confidence interval estimate of the mean weight of all women= (141.1, 156.48)
Answer: The area of rectangle WXYZ is 18 square inches
Step-by-step explanation: Since both rectangles are similar, then lines AD and BC has a common ratio with lines WZ and XY. If line line AD is 10 inches, and line XY is 5 inches, then the ratio of similarity is given as
Ratio = 10/5
Ratio = 2/1 (or 2:1)
However rectangle ABCD has its area as 70 square inches, which means the other side is given as
Area = L x W
70 = 10 x W
70/10 = W
7 = W
Therefore the width of the other rectangle is determined as,
10/5 = 7/W
10W = 5 x 7
10W = 35
Divide both sides of the equation by 10
W = 3.5
Having calculated the width of the other rectangle as 3.5, the area is now determined as
Area = L x W
Area = 5 x 3
Area = 17.5
Rounded off to the nearest integer, the area equals 18 square inches
Yes it makes since both answers come out to 2.236