A simple random sample of 60 items resulted in a sample mean of 80. The population standard deviation is σ = 10. (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 120 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.
Added by Brian A.
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This value is 1.96. (a) For a sample size of 60, we can calculate the standard error (SE) as follows: SE = σ / √n = 10 / √60 ≈ 1.29 Now, we can calculate the margin of error (ME) as follows: ME = z-score * SE = 1.96 * 1.29 ≈ 2.53 Show more…
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