1) Basic computation: Suppose x has a normal distribution with o = 6. A random sample of size 16 has sample mean 50. a) is it appropriate to use a normal distribution to compute a confidence interval for the population mean u? Explain. b) Find a 90% confidence interval for u Distribution Plot Normal, Mean-0, SIDeva1 ithe data conf 0.4 the fo 0.1 thousands c) Explain the meaning of the confidence interval you computed.

A First Course in Probability (10th Edition)
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**1) Basic computation**: Suppose x has a normal distribution with σ = 6. A random sample of size 16 has sample mean 50.  
a) Is it appropriate to use a normal distribution to compute a confidence interval for the population mean μ? Explain.  
__________________________________________________________________________

__________________________________________________________________________

b) Find a 90% confidence interval for μ

![Graph: Distribution Plot]
- **Title:** Distribution Plot  
- **Description:** A normal distribution with Mean=0, StdDev=1.  
- **Axes:** X-axis ranges from -3 to 3; Y-axis labeled as Density, ranging from 0 to 0.4.
- **Curve:** Bell-shaped curve indicating the normal distribution.

c) Explain the meaning of the confidence interval you computed.  
__________________________________________________________________________

__________________________________________________________________________
Transcribed Image Text:**1) Basic computation**: Suppose x has a normal distribution with σ = 6. A random sample of size 16 has sample mean 50. a) Is it appropriate to use a normal distribution to compute a confidence interval for the population mean μ? Explain. __________________________________________________________________________ __________________________________________________________________________ b) Find a 90% confidence interval for μ ![Graph: Distribution Plot] - **Title:** Distribution Plot - **Description:** A normal distribution with Mean=0, StdDev=1. - **Axes:** X-axis ranges from -3 to 3; Y-axis labeled as Density, ranging from 0 to 0.4. - **Curve:** Bell-shaped curve indicating the normal distribution. c) Explain the meaning of the confidence interval you computed. __________________________________________________________________________ __________________________________________________________________________
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