“The average life of fluorescent light bulbs is at least 1600 hours.” a) State the null and alternative hypotheses: b) Explain what the Type 1 error would be for this test. c) What is the Decision...

“The average life of fluorescent light bulbs is at least 1600 hours.”

a) State the null and alternative hypotheses:
b) Explain what the Type 1 error would be for this test.
c) What is the Decision Rule for this test?
d) A sample of 50 bulbs is tested and the average life was 1590 hours. If σ was known to be 50 hours, what would the p-value be?
(Use the method from the first primer - not the calculator function)
e) Interpret what the p-value means in the context of this problem.
f) Pick an α and state your conclusion.