# Confidence level of a population mean

## Confidence level of a population mean

1. In the case, the confidence level is provided to be 98%. This implies the calculated mean for the data under the same confidence level will be given by:

98/100*19.00= 18.62

Given that the phenomena was normally distributed

2. Under the confidence level of 90%, the calculated mean is to be given by;

90/100*2.86= 2.574

This is possible since event was normally distributed.

3. Given that the confidence level of the data is 95%, the calculated mean under the same confidence level will be given by;

95/100*81.5= 77.425

This is possible since the data was normally distributed

4. In this case provided, one will be required to calculate the mean first;

Mean = ∑x/N where x are the variables and N is the total sample size (number of samples)

Mean = \$(3.6+4.5+2.800+6.3+2.6+5.2+6.75+4.25+8.0+3.0)/10

Given that the confidence level was 95%

Then the mean within this confidence level will be given by;

95/100 * 4.7 = 4.465

5. In this case, one will be required to calculate the mean first;

Mean = ∑x/N

Mean = (2.0+3.2+1.8+2.9+0.9+4.0+3.3+2.9+3.6+0.8)/10=2.54

Given that the confidence level was 98%

The calculated mean under the same confidence level will be given by;

98/100* = 2.4892

Related Articles
View all ›