Melting point of a mercury compound. In order to determine the melting point (in degrees Celsius) of a mercury compound, an analyst recorded the readings obtained during his experiment. The analyst claimed that the average melting point of the compound was 150°C.

a. Give the null and alternative hypotheses for testing whether the average melting point is less than 150°C.

b. Describe a Type I error for this test.

c. Describe a Type II error for this test.