Question
A simple random sample of 40 items resulted in a sample mean of 30. The population...
A simple random sample of 40 items resulted in a sample mean of 30. The population standard deviation is σ = 20. a. Compute the 95% confidence interval for the population mean. Round your answers to one decimal place. Assume that the same sample mean was obtained from a sample of 100 items. Provide a 95% confidence interval for the population mean. Round your answers to two decimal places. What is the effect of a larger sample size on the interval estimate? larger or smaller
Homework Answers
Answer #1
Here
sample mean 
population standard deviation σ = 20
and sample size 
a 95% confidence interval for the population mean
When n = 100,
a 95% confidence interval for the population mean
So, for larger sample size, width of the confidence interval gets smaller.
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