Question

{Exercise 8.3 (Algorithmic)}

A simple random sample of 40 items resulted in a sample mean of 30. The population standard deviation is σ = 15.

a. Compute the 95% confidence interval for the population mean. Round your answers to one decimal place.
Enter your answer using parentheses and a comma, in the form (n1,n2). Do not use commas in your numerical answer (i.e. use 1200 instead of 1,200, etc.)

b. Assume that the same sample mean was obtained from a sample of 130 items. Provide a 95% confidence interval for the population mean. Round your answers to two decimal places.

c. What is the effect of a larger sample size on the interval estimate?

Larger sample provides a - Select your answer -largersmaller margin of error.

Answer 1

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As the sample size (n) increases, The margin of error becomes smaller.