Explore BrainMass
Share

# Construct the confidence intervals specified to estimate µ

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

50. Use the following information to construct the confidence intervals specified to estimate µ
a) 95% confidence; = 25, &#963;2 = 12.25, and n = 60.
b) 98% confidence; = 119.6, S2 = 570.7321, and n = 75.
c) 90% confidence; &#8721;X = 1814.4, &#963;2 = 0.948676, and n = 32.

51. A sample of size n = 10 is randomly selected from a normal population with mean µ = 52 and variance &#963;2 = 22.5. The sample value X-bar is calculated.
d) find P( > 55)
e) find P(50 &#8804; &#8804; 60)
f) find P( &#8804; 55)

https://brainmass.com/statistics/confidence-interval/construct-confidence-intervals-specified-estimate-193985

#### Solution Preview

See the attached file for complete solution. The text here may not be copied exactly as some of the symbols / tables may not print. Thanks

50. Use the following information to construct the confidence intervals specified to estimate µ
a) 95% confidence; = 25, &#963;2 = 12.25, and n = 60.

n>30 and &#963;2 known we will use z-value to construct the confidence interval. The value of z for 95% confidence is +/-1.96
Now calculate the standard error
Standard Error = &#963;/n0.5 = (12.25/60)^0.5=0.4518
Confidence interval = ...

#### Solution Summary

Illustrates in simple steps in document file (no excel used) how to construct the confidence intervals and calculate the probabilities for mean of a normal distribution.

\$2.19