Discussion Board 3 – Z-Score, Empirical Rule & Chebyshev’s
1. The following data about caloric intake comes from the FDA: Teen (T) PreTeen (PT)
1,700 Average Calories 1,500
400 Standard Dev. 350
A. If a Teen has a caloric intake of 2.200 calories, what would their z-score be? (No rounding, full answer)
B. If a Teen has a caloric intake of 1,900 calories, what would be a similar caloric intake for a PreTeen? (need to find a z-score for Teen and then use that information in computing for the PreTeen) (No rounding, full answer)
2.The average amount of time a person travels for the 4th of July holiday is 68 minutes with a standard deviation of 11 minutes.If the average amount of time a person travels for the 4th of July holiday is normally distributed, answer the following questions using the empirical rule (No rounding, full answer – either answer acceptable .2236 or 22.36%):
2A. What is the probability that someone will travel more than 57 minutes for the holiday?
2B. What is the probability that someone will travel at most 90 minutes for the holiday?
2C. What is the probability that someone will travel between 35 to 46 minutes for the holiday? © Chris O’Byrne 2024
3. The average number of miles someone travels for the 4th of July holiday is 63 miles with a standard deviation of 14 miles.What is the minimum proportion(percentage) of people that will travel between 36 miles and 90 miles? (Round only your final answer to 4 decimal places and express as a percentage – ex. .6123 expressed as 61.23%) (do not round interim computations)
(© Chris O’Byrne 2024)
When doing and showing your work for the PDF – it should be handwritten as if you are figuring out the problem on the exam – it doesn’t need to be typed up – and I prefer that you DON’T type it out and that you hand write it.
This Discussion Board is Due Wednesday, July 10th by 11PM.
When you answer the question put the answers in this order and label like this:
1A. 1B.
2A. 2B. 2C. 3. Value of Discussion Board = 8points,(1A, 2A, 2B – 1 point each, 1B, 2C – 1 ½ points and 3 – 2 points)
Remember to attach the PDF of your work to your Answer/Response to this Discussion Board.
You will put just the answers in the body of the discussion board and attach the PDF of your work you used to answer these questions.
You do not need to respond to any posts – But you should look at some of your classmate’s answers and their solutions.Be careful and double check your answers before submitting, I will grade the first submission only.
Discussion Board 3 – Z-Score, Empirical Rule & Chebyshev’s 1. The following data
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