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. B. If a Teen has a caloric intake of 2.200 calories, what would their z-score be? (No rounding, full answer) 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 74 minutes with a standard deviation of 13 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 48 minutes for the holiday? 2B. What is the probability that someone will travel at most 87 minutes for the holiday? 2C. What is the probability that someone will travel between 35 to 61 minutes for the holiday? 3. The average number of miles someone travels for the 4th of July holiday is 57 miles with a standard deviation of 16 miles. What is the minimum proportion (percentage) of people that will travel between 20 miles and 94 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)

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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.
B.
If a Teen has a caloric intake of 2.200 calories, what would their z-score be? (No rounding, full
answer)
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 74 minutes with a
standard deviation of 13 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%):
Transcribed Image Text: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. B. If a Teen has a caloric intake of 2.200 calories, what would their z-score be? (No rounding, full answer) 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 74 minutes with a standard deviation of 13 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 48 minutes for the holiday?
2B.
What is the probability that someone will travel at most 87 minutes for the holiday?
2C.
What is the probability that someone will travel between 35 to 61 minutes for the holiday?
3.
The average number of miles someone travels for the 4th of July holiday is 57 miles with a
standard deviation of 16 miles. What is the minimum proportion (percentage) of people that will
travel between 20 miles and 94 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)
Transcribed Image Text:2A. What is the probability that someone will travel more than 48 minutes for the holiday? 2B. What is the probability that someone will travel at most 87 minutes for the holiday? 2C. What is the probability that someone will travel between 35 to 61 minutes for the holiday? 3. The average number of miles someone travels for the 4th of July holiday is 57 miles with a standard deviation of 16 miles. What is the minimum proportion (percentage) of people that will travel between 20 miles and 94 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)
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