The waiting time to get food at a fast-food restaurant is 4.5 minutes on average with standard deviation of 2 munutes. Suppose that a sample of 45 customers is randoml selected. A. What are the mean and standard deviation of the sample mean waiting time of 45 customers? Mean = 4.5 Standard Deviation (standard error of the mean) = 0.29814 minutes Round standard error to 5 decimal places. B. What is the probability that the average waiting time of 45 customers is less than 4.3 minutes? Round to 4 decimal places. Answer: minutes C. What is the probability that the average waiting time of 45 customers is greater than 4.7 minutes? Round to 4 decimal places. D. What is the probability that the average waiting time of 45 customers is between 4.3 and 4.7 minutes? Round to 4 decimal places. Answer: Answer:

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I need help with the last three parts. I am not allowed to use Excel or a Ti-84 calculator. I need to work these by hand, however, I cannot figure them out.

**Educational Resource: Analyzing Waiting Times at Fast-Food Restaurants**

The waiting time to get food at a fast-food restaurant is 4.5 minutes on average with a standard deviation of 2 minutes. Suppose that a sample of 45 customers is randomly selected.

**A. What are the mean and standard deviation of the sample mean waiting time of 45 customers?**

- **Mean =** 4.5 minutes

- **Standard Deviation (standard error of the mean) =** 0.29814 minutes  
  *Round standard error to 5 decimal places.*

**B. What is the probability that the average waiting time of 45 customers is less than 4.3 minutes?**

- **Answer:** *Provide the answer rounded to 4 decimal places.*

**C. What is the probability that the average waiting time of 45 customers is greater than 4.7 minutes?**

- **Answer:** *Provide the answer rounded to 4 decimal places.*

**D. What is the probability that the average waiting time of 45 customers is between 4.3 and 4.7 minutes?**

- **Answer:** *Provide the answer rounded to 4 decimal places.*
Transcribed Image Text:**Educational Resource: Analyzing Waiting Times at Fast-Food Restaurants** The waiting time to get food at a fast-food restaurant is 4.5 minutes on average with a standard deviation of 2 minutes. Suppose that a sample of 45 customers is randomly selected. **A. What are the mean and standard deviation of the sample mean waiting time of 45 customers?** - **Mean =** 4.5 minutes - **Standard Deviation (standard error of the mean) =** 0.29814 minutes *Round standard error to 5 decimal places.* **B. What is the probability that the average waiting time of 45 customers is less than 4.3 minutes?** - **Answer:** *Provide the answer rounded to 4 decimal places.* **C. What is the probability that the average waiting time of 45 customers is greater than 4.7 minutes?** - **Answer:** *Provide the answer rounded to 4 decimal places.* **D. What is the probability that the average waiting time of 45 customers is between 4.3 and 4.7 minutes?** - **Answer:** *Provide the answer rounded to 4 decimal places.*
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