You work for a company that produces electronics with integrated circuits. One of your products is called a "shift register." This product is designed to automatically shut down if its operating temperature exceeds 175 degrees Celsius. The manufacturing process has been designed to have a standard deviation of o = 0.4 degrees Celsius. You test a random sample 19 shift registers, and you record the following shut-down temperatures. Construct a 80% confidence interval for the overall mean shutdown- temperature. 175.18 175.45 174.3 174.98 175.58 174.95 174.2 175.54 174.89 174.41 174.82 175. 175.27 175.1 174.65 175.03 175.71 (Checksum: 3325.78) a) Find the critical value and o. Critical Value: b) Find the confidence interval:

MATLAB: An Introduction with Applications
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You work for a company that produces electronics with integrated circuits. One of your products is called a "shift register." This product is designed to automatically shut down if its operating temperature exceeds 175 degrees Celsius. The manufacturing process has been designed to have a standard deviation of \(\sigma = 0.4\) degrees Celsius. You test a random sample of 19 shift registers, and you record the following shut-down temperatures. Construct a 80% confidence interval for the overall mean shutdown-temperature.

| 175.18 | 175.45 | 174.3  | 174.98 | 175.58 | 174.95 |
|--------|--------|--------|--------|--------|--------|
| 174.2  | 175.54 | 174.89 | 174.41 | 174.82 | 175.3  |
| 175.27 | 175.1  | 174.65 | 175.03 | 175.71 |        |

*(Checksum: 3325.78)*

**a) Find the critical value and \(\sigma_{\bar{x}}\).**

Critical Value: \(\_\_\_\_\)

\(\sigma_{\bar{x}}: \_\_\_\_\)

**b) Find the confidence interval:** \((\_\_\_\_, \_\_\_\_)\)
Transcribed Image Text:You work for a company that produces electronics with integrated circuits. One of your products is called a "shift register." This product is designed to automatically shut down if its operating temperature exceeds 175 degrees Celsius. The manufacturing process has been designed to have a standard deviation of \(\sigma = 0.4\) degrees Celsius. You test a random sample of 19 shift registers, and you record the following shut-down temperatures. Construct a 80% confidence interval for the overall mean shutdown-temperature. | 175.18 | 175.45 | 174.3 | 174.98 | 175.58 | 174.95 | |--------|--------|--------|--------|--------|--------| | 174.2 | 175.54 | 174.89 | 174.41 | 174.82 | 175.3 | | 175.27 | 175.1 | 174.65 | 175.03 | 175.71 | | *(Checksum: 3325.78)* **a) Find the critical value and \(\sigma_{\bar{x}}\).** Critical Value: \(\_\_\_\_\) \(\sigma_{\bar{x}}: \_\_\_\_\) **b) Find the confidence interval:** \((\_\_\_\_, \_\_\_\_)\)
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