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An air conditioning company servicing a certain machine room guarantees that the temperature in the room...

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Basic Math

An air conditioning company servicing a certain machine roomguarantees that the temperature in the room stays below 20o C. Dueto malfunctioning of the equipment operating in the machine room,it is suspected that the average temperature actually exceeds 20ofor more or less extended periods of time. Seven temperaturemeasurements are collected throughout the day and the followingtemperatures are observed, 20.8, 20.2, 20.9, 21.5, 22.2, 21.2,19.8. Assuming that the temperature is at least approximatelynormally distributed,

a) can you say at a 5% significance level that the roomtemperature is actually above 20o C?

b) what is the (approximate) p-value for this test? What does ittell you about the conclusion you have just made regarding the roomtemperature?

c) What is the probability that this test fails to reject Hoeven though the true mean temperature is 21o C?

Answer & Explanation Solved by verified expert
4.4 Ratings (1006 Votes)
20943s 08n 7b H0 20The test statistic t s 20943 2008 312At 5 significance level the critical value is t 1943Since the test statistic    See Answer
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