Concept explainers
(a)
To find: the mean,
(a)
Answer to Problem R2.3RE
Explanation of Solution
Given:
Calculation:
Relationship between feet and meter:
The inter
Divide by 3.28 to convert the measurement from feet to meter:
The shape of the distribution would not be affected because the every data value is converted in the same manner and therefore the data values would remain distributed in the same manner
(b)
To find: the mean and standard deviation of the errors in feet.
(b)
Answer to Problem R2.3RE
Explanation of Solution
Given:
Data of the width of their classroom in feet:
Calculation:
The distribution of the errors is every guess decreased by 42. 6. Then mean than decreases by the same amount:
The standard deviation would remain not affected because the spread would not be changed when every value decreased by the same amount
(c)
To find: the percentile for the student who calculated the class room width as 63 feet.
(c)
Answer to Problem R2.3RE
92nd percentile
Explanation of Solution
Given:
Calculation:
The summary statistic is having 66 below n, which shows that the data set is having 66 data values.
It is observed that in the dot plot, that 4 dots are to the right of 63 and 1 dot associates with 63, which means that 66 - 4 - 1 = 61 dots of the 66 dots are to the left of 63.
Required percentile
Therefore the percentile associating with 63 feet is the 92nd percentile.
Chapter 2 Solutions
PRACTICE OF STATISTICS F/AP EXAM
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