A) A statisticspractitioner took a random sampleof 50 observations from a population whose standard deviationis 25 and computed the sample meanto be 100. Estimate the population mean with 90% confidence.
b) Repeat part a using a 95% confidence level
c) Repeat part a using a 99% confidence level
d) Describe the effect on the confidence intervalestimate of increasing the confidence level.
Please see attached file.
Confidence interval – mean
90% confidence level
100 mean
25 std. dev.
50 n
1.677 t (df = 49)
5.928 half-width
105.928 upper …
This solution calculates the population mean with 90%, 95% and 99% confidence level and explains the effect of increasing the confidence level percentage.