A random sample is drawn from a population having σ = 15.
a. If the sample size is n = 30 and the sample mean x = 100, what is the 95% confidence interval estimate of the population mean µ?
b. If the sample size is n = 120 and the sample mean x = 100, what is the 95% confidence interval estimate of the population mean µ?
c. If the sample size is n = 480 and the sample mean x = 100, what is the 95% confidence interval estimate of the population mean µ?
Here
population standard deviation is known
So, we can use the Z-tables
at 95% confidence
a) Here n = 30
The 95% confidence interval for mean is
b) Here n = 120
The 95% confidence interval for mean is
c) Here n = 480
The 95% confidence interval for mean is
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