In: Statistics and Probability
Consider class data set to represent a simple random sample of the student. Construct the confidence intervals required and also write sample statistics calculated for each.
a) Calculate the 9% t-confidence interval for the mean pulse of all the student
B) Calculate the 95%confidence interval for the true proportion of all student who are registered
|
Voter Reg |
|
Pulse Rate |
|
64 |
|
75 |
|
74 |
|
65 |
|
72 |
|
72 |
|
60 |
|
66 |
|
60 |
|
69 |
|
89 |
|
64 |
|
71 |
|
50 |
|
80 |
|
80 |
|
62 |
|
85 |
|
60 |
|
65 |
|
92 |
|
70 |
|
60 |
|
87 |
|
98 |
|
56 |
|
92 |
|
88 |
|
66 |
|
70 |
|
66 |
|
66 |
|
92 |
|
96 |
|
80 |
|
80 |
|
89 |
|
61 |
|
Yes |
|
Yes |
|
No |
|
Yes |
|
Yes |
|
Yes |
|
Yes |
|
Yes |
|
Yes |
|
No |
|
Yes |
|
Yes |
|
Yes |
|
Yes |
|
Yes |
|
Yes |
|
Yes |
|
No |
|
Yes |
|
Yes |
|
Yes |
|
Yes |
|
Yes |
|
Yes |
|
No |
|
Yes |
|
No |
|
No |
|
No |
|
No |
|
Yes |
|
No |
|
Yes |
|
Yes |
|
Yes |
|
Yes |
|
Yes |
|
Yes |
|
Yes |
|
Yes |
Part A:
In the question you have asked for a 9% t Confidence Interval which is given below:

Part B:
Here total registered = 31
Total size = 40
So, the proportion = 31/40 = 0.775
As the sample size is more than 30.. Z statistics can be used in this regard..

End of the Solution...