Answer:
Step-by-step explanation:
Hello!
You have two random samples obtained from two different normal populations.
Sample 1
n₁= 15
X[bar]₁= 350
S₁= 12
Sample 2
n₂= 17
X[bar]₂= 342
S₂= 15
At α: 0.05 you need to obtain the p-value for testing variances for a one tailed test.
If the statistic hypotheses are:
H₀: σ₁² ≥ σ₂²
H₁: σ₁² < σ₂²
The statistic to test the variances ratio is the Stenecor's-F test. ~
The p-value is:
P(≤0.64)= 0.02
I hope it helps!
Answer: The correct option is
(A) The measures of corresponding angles of ABCD and KLMN are equal, but the lengths of corresponding sides of ABCD are half those of KLMN.
Step-by-step explanation: We are given to select the correct condition that might be true if polygons ABCD and KLMN are similar.
Two polygons are said to be SIMILAR if corresponding angles are congruent and corresponding sides are proportional.
So, options (B), (C), (D) and (E) are not correct because they contradict conditions of similarity.
In option (A), we have
The measures of corresponding angles of ABCD and KLMN are equal. So, they must be congruent.
And the lengths of corresponding sides of ABCD are half those of KLMN.
So, we can write
Therefore, the corresponding sides are proportional.
Thus, option (A) is true if two polygons are similar.