A random sample of 55 rans son replacement costs find the mean to be S25500 Assu

Question

A random sample of 55 rans son replacement costs find the mean to be S25500 Assume the populat on standard de at n s S425 A 96% confidence interval for the population mean repair cost is (2437.7,2662.3) Change the sample size to n-1 10. Construct a 95% confidence n erval for te populaton mean repair cost. Which confidence inter alis w der? Explain Construct a 95% confidence interval for the population mean repair cost The 95% confidence intervals (Round to one decimal place as needed) Which confidence interval is wider? Explain Choose the correct answer below O A. The n 110 confidence interval is wider because a larger sample is taken, giving more information about the population Click to select your answer(s)

Explanation / Answer

The statistical software output for this problem is:

One sample Z summary confidence interval:
? : Mean of population
Standard deviation = 425

95% confidence interval results:

Hence,

95% confidence interval: (2470.6, 2629.4)

Which confidence interval is wider? Option B is correct.

Mean n Sample Mean Std. Err. L. Limit U. Limit ? 110 2550 40.52216 2470.578 2629.422

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