3. Knoebels Amusement Park in Elysburg, Pennsylvania, has eamed acclaim for being an affordable, family-riendly entertainment venue. Knoebels does not charge for general admission or parking, but it does charge customers for each ride they take. How much do the rides cost at Knoebels? The figure shows a dot- plot of the cost for each of 22 rides in a recent year, along with summary statistics. Mean SD Min Q Median Q, Max 15 1.75 3 170S 0447 125 15 125 10 175 200 225 250 275 300 Cost (S) a) Suppose you convert the cost of the rides trom dollars to cents ($1-100 cents). Describe the shape, mean, and standard deviation of the distribution of ride cost in cents b) Knoebels' managers decide to increase the cost of each ride by 25 cents. How would this the shape, center, and variability of this distribution compare with the distribution of cost in Question 17 c) Now suppose you convert the increased costs from Question b to z-scores. What would be the shape, mean, and standard deviation of this distribution? ........ ***

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3. Knoebels Amusement Park in Elysburg, Pennsylvania, has earned acclaim for
being an affordable, family-friendly entertainment venue. Knoebels does not
charge for general admission or parking, but it does charge customers for each
ride they take. How much do the rides cost at Knoebels? The figure shows a dot-
plot of the cost for each of 22 rides in a recent year, along with summary
statistics.
n Mean SD Min 0 Median O, Max
22 1.705 0447 1.25 15 1.5
1.75 3
125
150
175
2.00 225 25o 2.75
300
Cost (S)
a) Suppose you convert the cost of the rides from dollars to cents ($1=100
cents). Describe the shape, mean, and standard deviation of the distribution
of ride cost in cents
b) Knoebels' managers decide to increase the cost of each ride by 25 cents.
How would this the shape, center, and variability of this distribution compare
with the distribution of cost in Question 1?
c) Now suppose you convert the increased costs from Question b to z-scores.
What would be the shape, mean, and standard deviation of this distribution?
a) The shape will
and will be skewed
The mean will be
by 100 and will
become
cents. The standard deviation will be
by 100 and will become
cents.
b) The shape will
and will be skewed
The center will shift
and will be
cents. The variability will
and will be
cents.
C) The shape wilI
and will be skewed
The mean will be
and the
standard deviation will be
...
**
Transcribed Image Text:3. Knoebels Amusement Park in Elysburg, Pennsylvania, has earned acclaim for being an affordable, family-friendly entertainment venue. Knoebels does not charge for general admission or parking, but it does charge customers for each ride they take. How much do the rides cost at Knoebels? The figure shows a dot- plot of the cost for each of 22 rides in a recent year, along with summary statistics. n Mean SD Min 0 Median O, Max 22 1.705 0447 1.25 15 1.5 1.75 3 125 150 175 2.00 225 25o 2.75 300 Cost (S) a) Suppose you convert the cost of the rides from dollars to cents ($1=100 cents). Describe the shape, mean, and standard deviation of the distribution of ride cost in cents b) Knoebels' managers decide to increase the cost of each ride by 25 cents. How would this the shape, center, and variability of this distribution compare with the distribution of cost in Question 1? c) Now suppose you convert the increased costs from Question b to z-scores. What would be the shape, mean, and standard deviation of this distribution? a) The shape will and will be skewed The mean will be by 100 and will become cents. The standard deviation will be by 100 and will become cents. b) The shape will and will be skewed The center will shift and will be cents. The variability will and will be cents. C) The shape wilI and will be skewed The mean will be and the standard deviation will be ... **
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