
Concept explainers
a)
To find the percent of times less than 109.78 seconds.
a)

Answer to Problem 33E
Approximately 16% of times should have less than 109.78 seconds.
Explanation of Solution
Given:
The Normal model is,
From Normal model, 109.78 is 1 standard deviation below the
We know that 68% of the data are within 1 standard deviation of the mean. That is, 100-68 = 32% of the IQ scores are more than 1 standard deviation from the mean.
We know, the normal curve is symmetric about the mean then 16% is more than 1 standard deviation below the mean and 16% is more than 1 standard deviation above the mean.
Hence, approximately 16% of times should have less than 109.78 seconds.
b)
To find the actual percent of times less than 109.78 seconds.
b)

Answer to Problem 33E
The roughly 3.77% of times are less than 109.78 seconds.
Explanation of Solution
Given:
From given data, 2 out of 53 data values are less than 109.78.
Hence, roughly 3.77% of times are less than 109.78 seconds.
c)
To explain why two percentages don’t agree.
c)

Answer to Problem 33E
The two percentages do not agree because the distribution of the data values is not perfectly Normal.
Explanation of Solution
Given:
The two percentages do not agree because the distribution of the data values is not perfectly Normal.
d)
To create Histogram.
d)

Answer to Problem 33E
The distribution is roughly right skewed.
Explanation of Solution
The distribution is roughly right skewed.
Chapter 6 Solutions
Stats: Modeling the World Nasta Edition Grades 9-12
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A First Course in Probability (10th Edition)
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