A healthcare company monitors the number of staff sick days over a 6-month period. The population mean number of sick days is 14 with a known standard deviation of 3.8. The company is concerned that in the most recent 6 months, the mean number of sick days of 15 for a sample of 100 employees is significantly higher than usual. Conduct a hypothesis test to test this assumption at the 5% significance level and decide whether the company is right to be concerned or not.
Added by Tyler H.
Step 1
H0: μ = 14 (The mean number of sick days is not significantly different from 14) H1: μ > 14 (The mean number of sick days is significantly higher than 14) Show more…
Show all steps
Close
Your feedback will help us improve your experience
Supreeta N and 82 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A company's human resource manager is interested in the mean number of sick days taken by all of its employees, and how that mean compares to the industry mean of 15 days. The firm's statistician randomly selects 30 personnel files and notes the number of sick days for each employee. The mean number of sick days for the sample is 12.2 days with a standard deviation of 10 days. Test whether the mean number of sick days for this company differs from the industry mean of 15 days using a 0.10 level of significance. Use of T-distribution table. How do I work this problem out with the given information step by step?
Ajiboye T.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD