Statistics (42)

A simple random sample of 60 items resulted in a sample mean of 96. The population standard deviation is 16.

a. Compute the 95% confidence interval for the population mean (to 1 decimal).
( , )

b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean (to 2 decimals).
( , )

c. What is the effect of a larger sample size on the margin of error, does it increase, decrease,stays the same, or it cannot be determined?

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asked by Mia
  1. I'll get you started.

    a) CI95 = mean ± 1.96 (sd/√n)

    mean = 96
    sd = 16
    n = 60

    b) Use the same formula, except n = 120

    c) Compare the margin of error in a) and b) to answer this question.

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    posted by MathGuru

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