MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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#8

An independent consumer group published its finding that the lifetimes of electric bulbs manufactured by BIG Corporation are approximately normally distributed with a mean of 670 days and a variance of 15,376. BIG Corporation claims that the variance of its electric bulbs is less than 15,376. Suppose that we want to carry out a hypothesis test to see if BIG Corporation's claim is correct. State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \) that we would use for this test.

\[
H_0: \quad
\]

\[
H_1: \quad
\]

The image also includes a set of statistical symbols with corresponding checkboxes for selection:

- \(\mu\)
- \(\bar{x}\)
- \(p\)
- \(\sigma\)
- \(s\)
- \(\sigma^2\)
- \(s^2\)
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Transcribed Image Text:An independent consumer group published its finding that the lifetimes of electric bulbs manufactured by BIG Corporation are approximately normally distributed with a mean of 670 days and a variance of 15,376. BIG Corporation claims that the variance of its electric bulbs is less than 15,376. Suppose that we want to carry out a hypothesis test to see if BIG Corporation's claim is correct. State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \) that we would use for this test. \[ H_0: \quad \] \[ H_1: \quad \] The image also includes a set of statistical symbols with corresponding checkboxes for selection: - \(\mu\) - \(\bar{x}\) - \(p\) - \(\sigma\) - \(s\) - \(\sigma^2\) - \(s^2\)
Expert Solution
Check Mark
Step 1

given data 

claim : σ2<15376 find null and alternative hypothesis.

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