A simple random sample of 70 items resulted in a sample mean of 80. The population standard deviation is
σ = 15.
(a)
Compute the 95% confidence interval for the population mean. (Round your answers to two decimal places.)
to
(b)
Assume that the same sample mean was obtained from a sample of 140 items. Provide a 95% confidence interval for the population mean. (Round your answers to two decimal places.)
to
(c)
What is the effect of a larger sample size on the interval estimate?
A larger sample size provides a smaller margin of error.A larger sample size does not change the margin of error. A larger sample size provides a larger margin of error.
a) At 95% confidence level, the critical value is z0.025 = 1.96
The 95% confidence interval, is
b) The 95% confidence interval, is
c) A larger sample size provides a smaller margin of error.
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