A Die Is Rolled 180 Times and the Following Data

question 8

Multiple Choice

A die is rolled 180 times and the following data are obtained.Is the die fair? Number Frequency
1 31
2 34
3 26
4 16
5 32
6 41

• A)H0: The die is not fair. HA: The die is fair (all numbers occur with equal frequency).
• Conclusion: Do not reject the null hypothesis.There is insufficient evidence to claim that the numbers on the die do not occur with equal frequency.
• B)H0: The die is not fair. HA: The die is fair (all numbers occur with equal frequency).
• Conclusion: Do not reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency.
• C)H0: The die is fair (all numbers occur with equal frequency). HA: The die is not fair.
• Conclusion: Do not reject the null hypothesis.The data do not provide sufficient evidence to conclude that the die is loaded.
• D)H0: The die is fair (all numbers occur with equal frequency). HA: The die is not fair.
• Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency.
• E)H0: The die is not fair. HA: The die is fair (all numbers occur with equal frequency).
• Conclusion: Reject the null hypothesis.There is sufficient evidence to claim that the numbers on the die do not occur with equal frequency.

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Definitions:

Programmed Decisions

Decisions made using a rule, policy, or procedure for routine or repetitive problems that have been encountered before.

Customer Relations

The management and development of interaction between a business and its customers to improve satisfaction and loyalty.

Programmed Decisions

Decisions that are routine and repetitive, which can be addressed through established processes.

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Established guidelines and rules that dictate how various aspects of business should be conducted within an organization.