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Given the table below Degree ofastigmatism Frequency 0.0 or less than0.2 458 0.2

ID: 2913507 • Letter: G

Question

Given the table below Degree ofastigmatism        Frequency
0.0 or less than0.2              458 0.2-0.3                                268 0.4-0.5                               151 0.6-1.0                               79 1.1-2.0                               44 2.1-3.0                                19    3.1-4.0                                 9 4.1-5.0                                 3 5.1-6.0                                 2 Suppose we wish to construct an upper bound for astigmatism sothat no more than 5% of military recruits exceed this upper bound.What is the smallest possible value for this upper bound? Given the table below Degree ofastigmatism        Frequency
0.0 or less than0.2              458 0.2-0.3                                268 0.4-0.5                               151 0.6-1.0                               79 1.1-2.0                               44 2.1-3.0                                19    3.1-4.0                                 9 4.1-5.0                                 3 5.1-6.0                                 2 Suppose we wish to construct an upper bound for astigmatism sothat no more than 5% of military recruits exceed this upper bound.What is the smallest possible value for this upper bound?

Explanation / Answer

The given table must be modified as follows Degree of Astigmatism Frequency Percentage 0.0-1.0 956 956 0.92546 1.1-2.0 44 1000 0.968054 2.1-3.0 19 1019 0.986447 3.1-4.0 9 1028 0.99516 4.1-5.0 3 1031 0.998064 5.1-6.0 2 1033 1 Total 1033 Degree of Astigmatism Frequency Percentage 0.0-1.0 956 956 0.92546 1.1-2.0 44 1000 0.968054 2.1-3.0 19 1019 0.986447 3.1-4.0 9 1028 0.99516 4.1-5.0 3 1031 0.998064 5.1-6.0 2 1033 1 Total 1033
the smallest possible value for this upper bound here is2.0 Degree of Astigmatism Frequency Percentage 0.0-1.0 956 956 0.92546 1.1-2.0 44 1000 0.968054 2.1-3.0 19 1019 0.986447 3.1-4.0 9 1028 0.99516 4.1-5.0 3 1031 0.998064 5.1-6.0 2 1033 1 Total 1033
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