Concept explainers
To calculate the proportion of the data that falls above than 144 and also explain whether I is surprising or not that none of 74 students have got that high score.
Answer to Problem 3.23E
0.15% of the values fall above than 144.
Explanation of Solution
Given:
Standard deviation = 11
Concept used:
As per
- 68% of the data falls within one standard deviation from the mean.
- 95% of the data falls within two standard deviations from the mean.
- 99.7% of the data falls within three standard deviations from the mean.
Calculation:
144 is three standard deviationsabove than mean, the proportion that falls above than 144 is 0.15% Therefore, approximate 0.15% of the values fall above than 144.
It’s not surprising that none of 74 students have scored that high because the probability to have that high score is less than 5% which means that it is an unusual
Chapter 3 Solutions
Statistics Through Applications
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