n USE SALT (a) What are the mean and standard deviation of the sampling distribution of x? = 30 = 0.875 Describe the shape of the sampling distribution of x. The shape of the sampling distribution of x is approximately normal vV. (b) What is the approximate probability that x will be within 0.5 of the population mean u? (Round your answer to four decimal places.) 0.4314 (c) What is the approximate probability that x will differ from u by more than 0.9? (Round your answer to four decimal places.) 0.3628

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Suppose that a random sample of size 64 is to be selected from a population with mean 30 and standard deviation 7. What is the approximate probability that x bar will differ from ? by more than 0.9? (Round your answer to four decimal places.)

Suppose that a random sample of size 64 is to be selected from a population with mean 30 and standard deviation 7.

**(a)** What are the mean and standard deviation of the sampling distribution of \(\bar{x}\)?

- \(\mu_{\bar{x}} = 30\) ✔️
- \(\sigma_{\bar{x}} = 0.875\) ✔️

Describe the shape of the sampling distribution of \(\bar{x}\).

The shape of the sampling distribution of \(\bar{x}\) is approximately normal. ✔️

**(b)** What is the approximate probability that \(\bar{x}\) will be within 0.5 of the population mean \(\mu\)? (Round your answer to four decimal places.)

- 0.4314 ✔️

**(c)** What is the approximate probability that \(\bar{x}\) will differ from \(\mu\) by more than 0.9? (Round your answer to four decimal places.)

- 0.3628 ❌
Transcribed Image Text:Suppose that a random sample of size 64 is to be selected from a population with mean 30 and standard deviation 7. **(a)** What are the mean and standard deviation of the sampling distribution of \(\bar{x}\)? - \(\mu_{\bar{x}} = 30\) ✔️ - \(\sigma_{\bar{x}} = 0.875\) ✔️ Describe the shape of the sampling distribution of \(\bar{x}\). The shape of the sampling distribution of \(\bar{x}\) is approximately normal. ✔️ **(b)** What is the approximate probability that \(\bar{x}\) will be within 0.5 of the population mean \(\mu\)? (Round your answer to four decimal places.) - 0.4314 ✔️ **(c)** What is the approximate probability that \(\bar{x}\) will differ from \(\mu\) by more than 0.9? (Round your answer to four decimal places.) - 0.3628 ❌
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