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average time it takes to complete a psychology final at a large university is hypothesized to...

average time it takes to complete a psychology final at a large university is hypothesized to be 130 minutes with a known standard deviation of 21 minutes. A cut-off point of 122 is being used to test this hypothesis. A random sample of 33 Statistics students is selected to perform the test. Draw a diagram of this test of hypotheses and calculate the probability that a type I error will occur?

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Average time it takes to complete a psychology final at a large university is hypothesized to be 130 minutes with a known standard deviation of 21 minutes. A cut-off point of 122 is being used to test this hypothesis

(Because there is one out cut off point i.e 122 which is less than 130)

It is a left tailed test

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