Math Problem Statement
Solution
Let's analyze the provided image step-by-step to solve the problem. Here's a breakdown:
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Hypothesis Setup:
The question involves testing whether the mean daily sales of Store 2 exceed those of Store 1. This is a one-tailed hypothesis test.- Null Hypothesis (): (the population mean of the differences is less than or equal to zero).
- Alternative Hypothesis (): (the population mean of the differences is greater than zero).
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Data:
The differences () are already calculated in the table: . -
Performing a Hypothesis Test:
The process includes:- Calculating the sample mean () and sample standard deviation () of the differences.
- Using a -test formula since the sample size is small ():
- Comparing the calculated -value to the critical -value at for degrees of freedom.
Would you like me to compute these values and complete the test for you? If so, I’ll calculate the mean, standard deviation, -value, and provide the conclusion!
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
t-Test
Descriptive Statistics
Formulas
t = (x̄ - μ) / (s / √n)
x̄ = Σx / n
s = √[Σ(x - x̄)² / (n - 1)]
Theorems
Student's t-Distribution
Suitable Grade Level
Grades 11-12, College Level
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