Math Problem Statement
What is the best choice showing the null and alternative?
Hilda is a quality assurance manager. The product (bag of chips) is advertised to have at least 500 gr of chips in each bag. She has taken a sample of 25 bags of chips and has calculated the average as 512.5 gr. The sample's standard deviation is 18.45 gr. We need to be 95% certain.
a.
H0: average is more than or equal to 500
Ha: average is less than 500
b.
H0: average is equal to 500
Ha: average is not 500
c.
H0: average is more than or equal to 500
Ha: average is not 500
d.
H0: average is less than or equal to 500
Ha: average is more than 500
e.
H0: average is more than 500
Ha: average is less than or equal to 500
Solution
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
Statistics
Normal Distribution
Left-Tailed Test
Formulas
Z-test formula: Z = (x̄ - μ) / (σ / √n)
Standard Error formula: SE = σ / √n
Theorems
Central Limit Theorem
Normal Distribution Properties
Suitable Grade Level
University Level (Statistics)
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