Question

A researcher has collected a sample of 25 respondents, and the mean was calculated as 500. The sample was randomly drawn from a normal population whose standard deviation is 15. a) Estimate the population mean with a 99% confidence. b) Repeat part (a) changing the population standard deviation to 30. c) Repeat part (a) changing the population standard deviation to 60. d) Describe what happens to the confidence interval estimate when the standard deviation is increased.

Name: a researcher has collected a sample of 25 respondents and the mean was calculated as 500 the sample was randomly drawn from a normal population whose standard deviation is 15a estimate the p 40664
Uploaded: 2023-05-13T03:30:56-08:00
Duration: 2 min 49 s
Channel: Madhur L
Description: a researcher has collected a sample of 25 respondents and the mean was calculated as 500 the sample was randomly drawn from a normal population whose standard deviation is 15a estimate the p 40664

          A researcher has collected a sample of 25 respondents, and the mean was calculated as 500. The sample was randomly drawn from a normal population whose standard deviation is 15. a) Estimate the population mean with a 99% confidence. b) Repeat part (a) changing the population standard deviation to 30. c) Repeat part (a) changing the population standard deviation to 60. d) Describe what happens to the confidence interval estimate when the standard deviation is increased.

Added by Taylor A.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

05/13/2023

Step 1

For a 99% confidence interval, the z-score is approximately 2.576. We are given that the sample mean is 500, the population standard deviation is 15, and the sample size is 25. Plugging these values into the formula, we get: $$CI = 500 \pm 2.576 Show more…

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A researcher has collected a sample of 25 respondents, and the mean was calculated as 500. The sample was randomly drawn from a normal population whose standard deviation is 15. a) Estimate the population mean with a 99% confidence. b) Repeat part (a) changing the population standard deviation to 30. c) Repeat part (a) changing the population standard deviation to 60. d) Describe what happens to the confidence interval estimate when the standard deviation is increased.