Answer: 90% confidence interval would be (6.022,6.986).
Step-by-step explanation:
Since we have given that
Number of students = 361
Sample mean = 6.504
Sample standard deviation = 5.584
Standard error of the mean = 0.294
At 90% confidence level,
So, α = 0.01
So, z = 1.64
Margin of error is given by

So, Lower limit would be

Upper limit would be

So, 90% confidence interval would be (6.022,6.986).
Answer:
Mean=50.
standard deviation=50.
Step-by-step explanation:
Let the perfect score be 100.
The mean(average) of a data is given by: 
Here the number of data points are 100. out of which 50 attains a value 100,and 50 attains value 0.
so, sum of data points=50×100+50×0=5000.

Mean=50.
"Now the standard deviation of data points are calculated by firstly subtracting mean from every entry and then square the number and take it as new entry and calculate the mean of the new data entry and lastly taking the square root of this new mean".
Here if 50 is subtracted from each entry the new entry will have 50 entries as '50' and 50 entries as '-50'.
next on squaring we will have all the 100 entries as '2500'.
now the mean of these entries is: 
=2500
taking it's squareroot we have 
Hence, standard deviation=50.
Answer:
True
Step-by-step explanation:
The statement given above in the question is correct. It is mentioned that men are free to create a list of women's according to their preferences. There will be order sequence of women and men places them in queue of their preference. The men proposes the women with highest ranking in the list then it is possible that all men gets their preferred choice.
Answer:
512 student tickets were purchased.
Step-by-step explanation:
Represenation of the unknowns: Let s be the number of student tickets and a the number of adult tickets. Then s + a = 1294.
The dollar amounts are thus ($5/ticket)s + (8/ticket)a = $8816.
Goal: Find s; to do this, eliminate a.
Since s + a = 1294, a = 1294 - s
Then: 5s + 8(1294 - s) = 8816, or
5s - 8s + 8(1294) = 8816, or
-3s + 10352 = 8816
Isolating the 3s term, we get
-3s - 1536 = 0, or
3s = 1536, which yields s = 512
512 student tickets were purchased.
This year, the year is 2021