Please help with D, E, and F   “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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 34PPS
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Please help with D, E, and F

 

“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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