Find a confidence interval for ƒÊ assuming that each sample is from a normal population.

a. �P x = 14, ƒÐ = 4, n = 5, 90 percent confidence
b. �P x = 37, ƒÐ = 5, n = 15, 99 percent confidence
c. �P x = 121, ƒÐ = 15, n = 25, 95 percent confidence

Need to show my work/formula
Thanks,

1 answer

Assuming two-tailed test, x = mean, ƒD = Standard deviation:

90% = mean ± 1.645 SEm

SEm = SD/√n = Standard Error of the mean

99% = mean ± 2.575 SEm

95% = mean ± 1.96 SEm

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportions and their related Z scores.