Math Problem Statement
A study showed that two years ago, the mean time spent per visit to Facebook was 19.8 minutes. Assume the standard deviation is 10.0 minutes. Suppose that a simple random sample of 101 visits was selected this year and has a sample mean of 22.8 minutes. A social scientist is interested to know whether the mean time of Facebook visits has increased. Use the α = 0.10 level of significance and the p-value method with the TI-84 calculator.
Solution
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
Z-Test for Population Mean
Significance Level (α)
P-Value Method
Formulas
Z = (X̄ - μ) / (σ / √n)
P-Value comparison with α
Theorems
Central Limit Theorem
Normal Distribution for Large Samples
Suitable Grade Level
Undergraduate level (Statistics)
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