The Thundering Herd, an amusement park ride, is not open to patrons less than 54" tall. If the mean height of park patrons is 68" with a standard deviation of 12 inches, what percent of the patrons will not be able to use this ride? The z for 54" = .

(The negative means 54" is less than the mean of 68.

The percentage for the above z is %.

This is the percentage of patrons between 54" and 68". The percentage for ALL patrons above 68" is %. (This corresponds to z = +4.)

So the percentage of patrons above 54" is %

Therefore, adding the two together, the percentage of patrons below 54" and who may not use this ride is %.

12.17%

Step-by-step explanation:

The Thundering Herd, an amusement park ride, is not open to patrons less than 54" tall. If the mean height of park patrons is 68" with a standard deviation of 12 inches, what percent of the patrons will not be able to use this ride?

Patrons that will not be able to use this ride are those less than 54 inches

We sole using the z score formula

z = (x-μ)/σ, where

x is the raw score = 54 inches

μ is the population mean = 68 inches

σ is the population standard deviation = 12 inches

z = 54 - 68/12

z = -1.16667

Probability value from Z-Table:

P(x<54) = 0.12167

Converting this to percentage

0.12167 × 100

= 12.167%

Approximately : 12.17%

Therefore, 12.17% of the patrons will not be able to use this ride.

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