StatisticsdrillOne-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
A process engineer believes a new layout cuts the mean number of units packed per hour from the old 45. Test H0: μ = 45 against H1: μ < 45. A random sample of 10 hours gives x̄ = 44.09 and s = 1.7. Find the p-value, then decide at α = 0.05. Round to 4 decimal places.
What this problem teaches
One-sided: only the tail that H1 points to counts. Find t, then the area in that one tail with n - 1 degrees of freedom.
A hint if you get stuck
One-sided: only the tail that H1 points to counts. Find t, then the area in that one tail with n - 1 degrees of freedom.
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