Hypothesis testing, Engineering Mathematics

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A scientist calculates the temperature of melting platinum using a new type of thermometer. The temperature of the metal is called to be exactly 1768.3 centigrade. The measurements are as follows:

c(1770.1, 1771.1, 1769.19, 1769.5, 1767.32, 1768.67, 1768.22)

(a) What is the use of these observations?

(b) In the context of hypothesis testing, and bearing in mind that it is not called whether the new thermometer overpredicts or underpredicts temperature, is a one-sided or two-sided test indicated? Clarify your answer


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