The number of times a machine broke down each week was observed over a period of 100 weeks and recorded as shown in the table below. It was found that the average number of breakdowns per week over this period was 2.4. Test the null hypothesis that the population distribution of breakdowns is Poisson. Use significance level α =0.10. Number of breakdowns 0 1 2 3 4 5 or More Number of weeks 10 22 30 27 7 4
Added by Megan P.
Step 1
Alternative hypothesis: The population distribution of breakdowns does not follow a Poisson distribution. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Madhur L and 70 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
The number of accidents Y per week at an intersection was checked for n = 50 weeks with the results as shown in the table below. Test the hypothesis that the random variable Y has a Poisson distribution where λ = 0.48, assuming the observations to be independent. Use α = 0.05.
Madhur L.
Jacob F.
Records pertaining to the monthly number of job-related injuries at an underground coal mine were being studied by a federal agency. The values for the past 100 months were as follows: Injuries per Month | Frequency of Occurrence 0 | 35 1 | 40 2 | 13 3 | 6 4 | 4 5 | 1 6 | 1 (a) Apply the chi-square test to these data to test the hypothesis that the underlying distribution is Poisson. Use the level of significance Ě‘ = 0.05. (b) Apply the chi-square test to these date to test the hypothesis that the distribution is Poisson with mean 1.0. Again let Ě‘ = 0.05.
Jon S.
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