StatisticsdrillTwo-sided t test: p-value and decision
A statistics problem from Statisticsdrill. Solve it with one answer box, with a fresh sample on every attempt and the worked steps and spreadsheet function in the answer, and it is checked the moment you submit.
The task
Test H0: μ = 68 against H1: μ ≠ 68 for the average order value (dollars). A random sample of 11 gives x̄ = 69.33 and s = 29.5. Find the p-value of the one-sample t test, then decide at α = 0.05. Round to 4 decimal places.
What this problem teaches
Find t = (x̄ - μ0) / (s / √n), then the two-tailed area beyond |t| with n - 1 degrees of freedom.
A hint if you get stuck
Find t = (x̄ - μ0) / (s / √n), then the two-tailed area beyond |t| with n - 1 degrees of freedom.
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