Determine the confidence level for each of the following lar

Determine the confidence level for each of the following large-sample one-sided confidence bounds. (Round your answers to the nearest whole number.) Upper bound: x + 0.84s/ squareroot n Lower bound: x - 1.88s/ squareroot n Upper bound: x + 0.52s/ squareroot n you may need to use the appropriate table In the Appendix of Tables to answer this question.

Solution

as the problem said that the sample is larger we will use Z distribution and we just need to find a value of probability for each Z value

when we find that probability that will be our alpha

and we know that alpha = 1 - confidence interval

confidence interval = 1 - alpha

a)

for 0.84      prob = 0.2005

confidence interval = 1 - 0.2005 = 0.7995 = 79.95% = 80 %

b)

for 1.88   probability = 0.0301

confidence interval = 1 - 0.0301 = 0.9699 = 96.99% = 97%

c)

for 0.52     probability = 0.3015

confidence interval = 1 - 0.3015 = 0.6985 = 69.85% = 70%