Answer: d)In repeated samples of the same size, approximately 95 percent of the intervals constructed from the samples will capture the population difference in means.
Step-by-step explanation:
Confidence interval is constructed to estimate a range of values that could possibly contain the population parameter. This could be the population mean or population proportion. A 95 percent confidence interval does not mean 95% probability. It tells how confident that we are that the confidence interval contains the population proportion. If we construct 100 of the given confidence interval, we are confident that 95% of them would contain the true population parameter. Therefore, the correct option is
d)In repeated samples of the same size, approximately 95 percent of the intervals constructed from the samples will capture the population difference in means.
Answer:
Step-by-step explanation:
perimeter=2(85)+π(12.5)=220+2×12.5π
=170+25×3.14
=170+78.5
=248.5
distance ran=3×248.5=745.5 yards.
2x + 2y = 48
2(x + y) = 48
x + y = 24
mean = 24/2 = 12
less than 20
Answer:
The proof is explained below.
Step-by-step explanation:
Given ∠AEB=45° and also ∠AEC is right angle i.e ∠AEC=90°
we have to prove that EB is the angle bisector.
In the right angled triangle AEC,
∠AEC=90° and also ∠AEB=45°
∵ ∠AEB+∠BEC=∠AEC
⇒ 45° + ∠BEC = 90°
By subtraction property of equality
∠BEC = 45°
Hence, ∠AEB = ∠BEC = 45°
The angle ∠AEB equally divides by the line segment EB therefore, the line segment EB is the angle bisector of angle ∠AEB.
