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Let X denote the GPA of an engineering student at the CPP. It is widely known...

Let X denote the GPA of an engineering student at the CPP. It is widely known that, for this population, ?= 0.4. The population mean is not widely known, however, it is commonly believed that the average GPA is 2.9. We wish to test this hypothesis using a sample size of 16 and a level of significance of 0.05. What is the probability of a Type I error for this test? Answer to the two nearest decimal places.

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