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Discussion Board 3 - Z-Score, Empirical Rule & Chebyshev's The following data about caloric intake comes from the FDA: \table[[,Teen,(T)],[,\table[[\table[[1,700],[400]]]],\table[[Average Calories],[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

`4^(4)`

of July holiday is 74 minutes with a standard deviation of 13 minutes. If the average amount of time a person travels for the

`4^(min )`

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? (c) Chris O'Byrne 2024 3. The average number of miles someone travels for the

`4^(m )`

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)