## Related questions with answers

A chemical production process uses water-cooling to carefully control the temperature of the system so that the correct products are obtained from the resulting chemical reaction. The temperature of the system must be maintained at a temperature of 120 degrees Fahrenheit. A technician suspects that the average temperature is different from 120 degrees Fahrenheit and checks the process by taking temperature readings at 12 randomly selected times over a 4-hour period. Here are the data:

120.1 124.2 122.4 124.4 120.8 121.4

121.8 119.6 120.2 121.5 118.7 122.0

A 95% confidence interval for $\mu$ is 120.335 degrees Fahrenheit to 122.515 degrees Fahrenheit. Explain how this interval is consistent with the test in the previous part.

Solution

VerifiedIn this part, we are to explain how the given confidence interval is consistent with the test in part (a).

*How do we make a conclusion for a test given a confidence interval?*

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