Asked by Sergii Voloshchuk on May 28, 2024
Verified
Employees in a large company are entitled to 15-minute water breaks.A random sample of the duration of water breaks for 10 employees was taken with the times shown as: 12,16,14,18,21,17,19,15,18,and 16.Assuming that the times are normally distributed,is there enough evidence at the 5% significance level to indicate that on average employees are taking longer water breaks than they are entitled to?
Water Breaks
Brief pauses during activities intended for the intake of water to stay hydrated and maintain physical or mental performance.
Significance Level
The probability of rejecting the null hypothesis in a statistical test when it is actually true, often denoted by alpha (α).
Normally Distributed
Describes a continuous variable whose probabilities are symmetrically distributed around the mean, forming a bell-shaped curve known as the normal distribution.
- Implement testing of hypotheses related to population means under conditions of both known and uncertain standard deviations.
- Apply tests of hypotheses to different real-world scenarios.
Verified Answer
Rejection region: t > t0.05,9 = 1.833
Test statistics: t = 1.953
Conclusion: Reject H0.Yes,there is enough evidence at the 5% significance level to indicate that on average employees are taking longer water breaks than they are entitled to.
Learning Objectives
- Implement testing of hypotheses related to population means under conditions of both known and uncertain standard deviations.
- Apply tests of hypotheses to different real-world scenarios.
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