(4 points) Determine the sample size required to estimate a population mean to within 11 units given that the population standard deviation is 50. A confidence level of 90% is judged to be appropriate. Sample Size =

MATLAB: An Introduction with Applications
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The image contains a series of questions for calculating required sample sizes for population mean estimations at different confidence levels and standard deviations. Here's a transcription:

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**(4 points)**

1. Determine the sample size required to estimate a population mean to within 11 units given that the population standard deviation is 50. A confidence level of 90% is judged to be appropriate.

   Sample Size = [ ] 

2. Determine the sample size required to estimate a population mean to within 11 units given that the population standard deviation is 105. Use a confidence level of 90%.

   Sample Size = [ ]

3. Determine the sample size required to estimate a population mean to within 11 units given that the population standard deviation is 50. Use a confidence level of 95%.

   Sample Size = [ ]

4. Determine the sample size required to estimate a population mean to within 23 units given that the population standard deviation is 50. A confidence level of 90% is judged to be appropriate.

   Sample Size = [ ]

---

Each question requires calculation of the sample size using the formula for sample size in estimating population means, typically involving the z-score corresponding to the confidence level, the population standard deviation, and the desired margin of error.
Transcribed Image Text:The image contains a series of questions for calculating required sample sizes for population mean estimations at different confidence levels and standard deviations. Here's a transcription: --- **(4 points)** 1. Determine the sample size required to estimate a population mean to within 11 units given that the population standard deviation is 50. A confidence level of 90% is judged to be appropriate. Sample Size = [ ] 2. Determine the sample size required to estimate a population mean to within 11 units given that the population standard deviation is 105. Use a confidence level of 90%. Sample Size = [ ] 3. Determine the sample size required to estimate a population mean to within 11 units given that the population standard deviation is 50. Use a confidence level of 95%. Sample Size = [ ] 4. Determine the sample size required to estimate a population mean to within 23 units given that the population standard deviation is 50. A confidence level of 90% is judged to be appropriate. Sample Size = [ ] --- Each question requires calculation of the sample size using the formula for sample size in estimating population means, typically involving the z-score corresponding to the confidence level, the population standard deviation, and the desired margin of error.
Expert Solution
Step 1: We have given that

E=11,σ=50,CI=90%=0.90

α=1CI=10.90=0.10

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