1/3 multiplied by 1 1/2
1 answer:
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Answer:
The 99% confidence interval for the scores of men is (64.406,75.594).
The 99% confidence interval for the scores of women is (73.609,90.391).
Step-by-step explanation:
We have the standard deviations for the sample, which means that the t-distribution will be used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 25 - 1 = 24
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.797.
For men:
Standard deviation of 10.
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 70 - 5.594 = 64.406
The upper end of the interval is the sample mean added to M. So it is 70 + 5.594 = 75.594
The 99% confidence interval for the scores of men is (64.406,75.594).
For women:
Standard deviation of 15.
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 82 - 8.391 = 73.609
The upper end of the interval is the sample mean added to M. So it is 82 + 8.391 = 90.391
The 99% confidence interval for the scores of women is (73.609,90.391).
I think the question is missing some details. I found a similar question with an image as i attached in this question.
From this image, it its clear that m1, m2 and m3 refers to the angles in the middle of the rhombus
Answer:
x = 9
y = 81
z = 5
Step-by-step explanation:
Note that in rhombus, all sides are the same. If the diagonal lines are made, it will create 4 division of angles of 90 degrees.
Therefore m1 = m2 = m3 = 90 degrees
m1 = 10x and m1 =90
So, 10x = 90. Rearrange it to get x = 90/10 = 9
x = 9
m2 = x + y and m2 = 90
So, x + y = 90
9 + y = 90
y = 90 - 9 = 81
m3 = 18z and m3 = 90
So, 18z = 90
z = 90/18 = 5
