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Problem 1. a) The following sample has been taken from a normal distribution with variance $\sigma^2 = 1$ and unknown mean $\mu$. -0.7518, 1.4977, 1.7274, 1.8371, -0.3193, 0.7773, 1.0900, 0.7659, 0.3623, 1.7205 Find a 95% confidence interval for $\mu$?What is the length of the interval? b) What sample size should be used to obtain a 95% confidence interval for $\mu$ of length 0.5 in question (a)?

          Problem 1. a) The following sample has been taken from a normal distribution with variance $\sigma^2 = 1$ and unknown mean $\mu$.
-0.7518, 1.4977, 1.7274, 1.8371, -0.3193, 0.7773, 1.0900, 0.7659, 0.3623, 1.7205
Find a 95% confidence interval for $\mu$?What is the length of the interval?
b) What sample size should be used to obtain a 95% confidence interval for $\mu$ of length 0.5 in question (a)?

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$Problem 1. a) The following sample has been taken from a normal distribution with variance σ^2 = 1 and unknown mean μ. -0.7518, 1.4977, 1.7274, 1.8371, -0.3193, 0.7773, 1.0900, 0.7659, 0.3623, 1.7205 Find a 95% confidence interval for $\mu$?What is the length of the interval? b) What sample size should be used to obtain a 95% confidence interval for $\mu$ of length 0.5 in question (a)?$

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Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Madhur L

08/22/2023

Step 1

Step 1: To find the 95% confidence interval for the mean (\mu), we can use the formula: \[ \bar{x} \pm z_{\alpha/2} \frac{\sigma}{\sqrt{n}} \] where \bar{x} is the sample mean, \sigma is the population standard deviation, n is the sample size, and z_{\alpha/2} is Show more…

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Problem 1. a) The following sample has been taken from a normal distribution with variance sigma ^(2)=1 and unknown mean mu . -0.7518,1.4977,1.7274,1.8371,-0.3193,0.7773,1.0900,0.7659,0.3623,1.7205 Find a 95% confidence interval for mu ? What is the length of the interval? b) What sample size should be used to obtain a 95% confidence interval for mu of length 0.5 in question (a)? Problem 1. a) The following sample has been taken from a normal distribution with variance o2 = 1 and unknown mean . Find a 95% confidence interval for ?What is the length of the interval? b) What sample size should be used to obtain a 95% confidence interval for of length 0.5 in question (a)?

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