Question

We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately $\sigma = 77.7$. We would like to be 99.5\% confident that the estimate is within 0.1 of the true population mean. How large of a sample size is required?

Name: We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately σ = 77.7. We would like to be 99.5% confident that the estimate is within 0.1 of the true population mean. How large of a sample size is required?
Uploaded: 2023-09-16T13:04:05-08:00
Duration: 2 min 8 s
Channel: Adi S
Description: We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately σ = 77.7. We would like to be 99.5% confident that the estimate is within 0.1 of the true population mean. How large of a sample size is required?

          We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately $\sigma = 77.7$. We would like to be 99.5\% confident that the estimate is within 0.1 of the true population mean. How large of a sample size is required?

We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately σ = 77.7. We would like to be 99.5% confident that the estimate is within 0.1 of the true population mean. How large of a sample size is required?

Added by Patrick W.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

09/16/2023

Step 1

5% confidence level. To find the critical value, we can use a z-table or a calculator. For a 99.5% confidence level, the critical value is approximately 2.807. Show more…

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We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately =77.7.We would like to be 99.5% confident that the estimate is within 0.1 of the true population mean.How targe of a sample size fs required?