A restaurant decides to test their oven's thermostat to see if it is working properly, that is, if the actual temperature inside the oven is the same as the temperature to which the thermostat was set. Twenty times, the oven was set at 350 degrees and then the temperature was measured with a thermometer. The chef wants to know if the average oven temperature is different from 350, when the thermostat is set at 350. What is the correct null and alternative hypothesis for this test

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14-03-2022
Mathematics

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A restaurant decides to test their oven's thermostat to see if it is working properly, that is, if the actual temperature inside the oven is the same as the temperature to which the thermostat was set. Twenty times, the oven was set at 350 degrees and then the temperature was measured with a thermometer. The chef wants to know if the average oven temperature is different from 350, when the thermostat is set at 350. What is the correct null and alternative hypothesis for this test

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joaobezerra joaobezerra · Answer 1 · 2022-03-22T13:13:34+01:00

Considering the situation described in the exercise, it is found that the correct null and alternative hypothesis for this test are given by, respectively:

[tex]H_0: \mu = 350[/tex]

[tex]H_1: \mu \neq 350[/tex]

What are the hypothesis tested?

At the null hypothesis, it is tested if the mean is of 350 degrees, that is:

[tex]H_0: \mu = 350[/tex]

At the alternative hypothesis, it is tested if the mean is different of 350 degrees, hence:

[tex]H_1: \mu \neq 350[/tex]

More can be learned about the test of an hypothesis at https://brainly.com/question/26454209