Answered: (a) If the true mean is .9050 with a…

(a) If the true mean is .9050 with a standard deviation of 0.0100, within what interval will 90 percent of the sample means fall? (Round your answers to 4 decimal places.) The interval is from to

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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### Homework: Chapter 8 (Sections 8.4 through 8.6)

#### Problem 1

Concerns about climate change and CO₂ reduction have initiated the commercial production of blends of biodiesel (e.g., from renewable sources) and petrodiesel (from fossil fuel). Random samples of 48 blended fuels are tested in a lab to ascertain the bio/total carbon ratio.

**(a)** If the true mean is .9050 with a standard deviation of 0.0100, within what interval will 90 percent of the sample means fall? (Round your answers to 4 decimal places.)

The interval is from ____ to ____.

**(b)** If the true mean is .9050 with a standard deviation of 0.0100, what is the sampling distribution of X̄?
1. Exactly normal with μ = .9050 and σ = 0.0100
2. Approximately normal with μ = .9050 and σ = 0.0100
3. Exactly normal with μ = .9050 and
$$σ_{\bar{X}} = \frac{0.0100}{\sqrt{48}}$$
4. Approximately normal with μ = .9050 and
$$σ_{\bar{X}} = \frac{0.0100}{\sqrt{48}}$$

**(c)** What theorem did you use to answer part (b)?

- Central Limit Theorem
- Chebyshev's Theorem
- Pythagorean Theorem
- Law of Large Numbers

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