Math  /  Data & Statistics

QuestionThe heights of 10 year old American children are normally distributed with a mean height of 4 feet and 3 inches (or 51 inches) and a standard deviation of 4.75 inches.
In order to be allowed to go on a particular kids ride at the amusement park, children must be at least 43.4 inches tall and no more than 59.075 inches tall.
Use the Cumulative Z-Score Table to answer the following questions. Write your answers as a percent with two decimal places.
What percent of 10 year old American children cannot go on the ride? \square \% Hint

Studdy Solution
Determine the percentage of children who cannot go on the ride:
1P(1.6<Z<1.7)=10.9006 1 - P(-1.6 < Z < 1.7) = 1 - 0.9006
=0.0994 = 0.0994
Convert to a percentage:
0.0994×100=9.94% 0.0994 \times 100 = 9.94\%
The percentage of 10-year-old American children who cannot go on the ride is:
9.94% \boxed{9.94\%}

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