Question

Question:

There are 500 patients waiting in the queue for surgery in the hospital and a simple random sample of size 10 is selected from the queue and waiting times till surgery for these patients were noted in the following table:

Time (in weeks): 4.5     5.9      8.0      4.2      6.8      6.1      5.8      5.0      7.1      6.5

Calculate the the mean waiting time for the surgery in the hospital and also place a 95% confidence bound on this mean

kindly provide detailed answer for every part with formulas. It should not be in excel.

Answer 1

Solution:

The mean waiting time for the surgery in the hospital is:

  

Now to find the 95% confidence interval, we have to find the standard deviation of the given data:

4.5	2.2201
5.9	0.0081
8	4.0401
4.2	3.2041
6.8	0.6561
6.1	0.0121
5.8	0.0361
5	0.9801
7.1	1.2321
6.5	0.2601
	12.649

Now the 95% confidence interval for the mean is:

Where:

is the t-critical value at 0.05 significance level for degrees of freedom = 10-1=9 and can be found using the t table.

Therefore, the 95% confidence bound on this mean is