“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.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
“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
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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