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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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I only need parts D,E, and F answered. Here is the entire question.

“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.

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