c. What is the z-score/how many standard errors away is an average of 12 hours for a sample of size 81? What is the probability that it would take on average over 12 hours for the 81 taxpayers to finish their form 1040? Would you find this unusual? yes no d. What is the z-score/how many standard errors away is an average of 12 hours for a sample of size 100? What is the probability that it would take on average over 12 hours for the 100 taxpayers to finish their form 1040? Would you find this unusual?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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**Statistics Exercise on Z-Scores and Probability**

**Question C:**

- What is the z-score/how many standard errors away is an average of 12 hours for a sample of size 81? 
  - [Blank space for the answer]

- What is the probability that it would take on average over 12 hours for the 81 taxpayers to finish their form 1040?
  - [Blank space for the answer]

- Would you find this unusual?
  - Options:
    - o Yes
    - o No

**Question D:**

- What is the z-score/how many standard errors away is an average of 12 hours for a sample of size 100? 
  - [Blank space for the answer]

- What is the probability that it would take on average over 12 hours for the 100 taxpayers to finish their form 1040?
  - [Blank space for the answer]

- Would you find this unusual?
  - Options:
    - o No
    - o Yes

**Question E:**

- What is the z-score/how many standard deviations away is 12 hours for one taxpayer?
  - [Blank space for the answer]

- What is the probability that it would take one person over 12 hours to finish their form 1040?
  - [Blank space for the answer]

- Would you find this unusual?
  - Options:
    - o Yes
    - o No

---

**Instructions:**

- For each scenario, calculate the z-score using the formula for the mean of a sample. 
- Use the z-score to find the corresponding probability from a standard normal distribution table.
- Determine if this event is unusual based on the probability value found. A common threshold for "unusual" events is a probability less than 5%.
Transcribed Image Text:**Statistics Exercise on Z-Scores and Probability** **Question C:** - What is the z-score/how many standard errors away is an average of 12 hours for a sample of size 81? - [Blank space for the answer] - What is the probability that it would take on average over 12 hours for the 81 taxpayers to finish their form 1040? - [Blank space for the answer] - Would you find this unusual? - Options: - o Yes - o No **Question D:** - What is the z-score/how many standard errors away is an average of 12 hours for a sample of size 100? - [Blank space for the answer] - What is the probability that it would take on average over 12 hours for the 100 taxpayers to finish their form 1040? - [Blank space for the answer] - Would you find this unusual? - Options: - o No - o Yes **Question E:** - What is the z-score/how many standard deviations away is 12 hours for one taxpayer? - [Blank space for the answer] - What is the probability that it would take one person over 12 hours to finish their form 1040? - [Blank space for the answer] - Would you find this unusual? - Options: - o Yes - o No --- **Instructions:** - For each scenario, calculate the z-score using the formula for the mean of a sample. - Use the z-score to find the corresponding probability from a standard normal distribution table. - Determine if this event is unusual based on the probability value found. A common threshold for "unusual" events is a probability less than 5%.
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