In: Statistics and Probability
Evaluate how organizations can use one-sample hypothesis testing to determine if there are performance issues in the organization. Give specific examples.
ANSWER:
Ex-1)
For example: Suppose you want to check the average working hour of employees. You thought that the average duration of an employees is 7.6 hours. You want to check this claim so you collect a sample of 20 employees and note their duration of work. Assume that data are approximately distributed.
NULL HYPOTHESIS H0: HOURS
ALTERNATIVE HYPOTHESIS Ha: HOURS
alpha=0.05
t= 7.765-7.6/1.25/sqrt(20)
t= 0.165/1.25/4.47
t= 0.165/0.28
t= 0.589
degrees of freedom= n-1=20-1=19
t critical = 2.09
Since t critical is GREATER than t calculated therefore we fail to reject null hypothesis H0.
Conclusion: We don't have sufficient evidence to conclude that the mean working duration is different than 7.6 hours.
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Ex-2)
Business managers settle on decisions every day that influence the effectiveness and achievement of their organizations. To screen progress and remain aggressive, most associations gather and store a lot of information. While the information gathered can be utilized to settle on significant business decisions, information stockpiling itself doesn't liken to improved basic leadership. Or maybe, it is important that you effectively break down and translate the information before applying it to improve business performance.
One significant method for breaking down a lot of information is through hypothesis testing. Hypothesis testing utilizes test measurements to test a case about an information parameter. For example, your organization needs to build deals by subsidizing another showcasing effort. It utilizes the battle in one area of the nation to test the impacts and starts gathering information to see whether the crusade has had its ideal impact. Your organization will possibly proceed with the new crusade broadly on the off chance that it accepts deals that will ascend by over 25%.
To test the case, you can perform hypothesis testing on the example information gathered from the test area. You would then be able to break down and present your outcomes to help decide if to utilize the battle broadly. Accurately deciphering the outcomes will influence your organization's capacity to settle on the ideal business choice and profoundly affect its future tasks.
To effectively finish the examination and make a fitting proposal, you should have the option to:
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