APPLIED STATISTICS

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1. The following data belongs to 17 reaction times in seconds of drivers under the influence of alcohol. (CREATE AND COMPLETE THE TABLE IN EXCEL).
6, 11, 10, 9 , 9 , 4, 10, 8, 12, 13, 9, 11, 8, 11, 7, 9, 5.
Hint: Use formulas for data NOT distributed by groups.

a) Calculate:
1. The arithmetic Mean.
2. The Median.
3. The Mode.
4. The first Quartile.
5. The third Quartile.
6. The Range.
7. Standard Deviation
ADD CONCLUSIONS
2. Find the mean, standard deviation for a simple random sample of knowledge coefficients of 1,000 students distributed by groups. (CREATE AND COMPLETE THE TABLE IN EXCEL).

INTERVALS MIDDLE POINT
Xi
FREC. Fi
Xi *Fi
fi (Xi – X)2
50 to >60 55 19
60 to >70 65 32
70 to >80 75 60
80 to >90 85 70
90 to >100 95 119
100 to >110 105 140
110 to >120 115 160
120 to >130 125 140
130 to >140 135 120
140 to >150 145 80
150 to >160 155 60

Hint: Use formulas for data distributed by groups.

ADD CONCLUSIONS

 

 

3. In New York State, saving accounts are authorized to sell a kind of life insurance called Savings Bank Life insurance (SBLI). The approbation process is integrated by the following steps: checking the application, verifying all medical records by a special agency, petition of additional information if it is necessary. Also is included the compilation of the insurance data to be send to the bank for further processing. During one month, it has been selected a simple random sample of 27 approved insurances with their respective processing time (in days). The results are the following:

73 19 16 64 28 28 31 90 60 56 31 56 22 18

45 48 17 17 17 91 92 63 50 51 69 16 17
(CREATE AND COMPLETE THE TABLE IN EXCEL).

Calculate:
1. The arithmetic Mean.
2. The Median.
3. The Mode.
5. The first Quartile.
6. The third Quartile.
7. The Range.
9. The Variance.
10. The Standard Deviation.
Hint: Use formulas for data NOT distributed by groups.
c) Graph a Box and Whiskers plot using the five Number Summary.
d) Are the data biased?. If biased, EXPLAIN how.
e) What would you answer if, an interested costumer, ask about the qualification and approbation times?

NOTE SHOW YOUR WORK USING THE FORMULAS GIVEN IN CLASS. ALSO PASTE EXCEL THE OUTPUT FROM SUMMARY OF STATISTICS. DISCUSS YOUR RESULTS FOR ALL QUESTIONS.
ADD CONCLUSIONS

 

 

Sample Solution

Throughout his poem “The Love Song of J. Alfred Prufrock,” T. S. Eliot uses various literary figures in well-known texts as the character J. Alfred Prufrock experiences anxiety and self-doubt. Allusions and direct references to works and authors Dante Alighieri, William Shakespeare, Andrew Marvell, and the Bible are used to compare and contrast Prufrock’s insecurities and inaction. While this poem revolves around Prufrock asking a woman a question, which he never actually gets to, T. S. Eliot structures the poem almost as a quest for Prufrock to express his intentions, and thus, uses appeals to literature to illuminate how one should be active rather than passive. Published in 1915, this poem displays modernist literary techniques, especially as Prufrock’s inner monologue showcases self-consciousness. Further, Eliot’s use of allusions and direct references seem to question society’s progress; however, he also seems to suggest that looking at the past helps to understand individuals and society as a whole. In his essay “Tradition and the Individual Talent,” Eliot states, “No poet, no artist of any art, has his complete meaning alone. His significance, his appreciation is the appreciation of his relation to the dead poets and artists” (37). Therefore, Eliot uses literary allusions within “The Love Song of J. Alfred Prufrock” to showcase Prufrock’s limitations, which suggests an overarching message that humanity needs to be active in this era of advancement, as urbanization has led Prufrock, as well as society, to a sense of worthlessness. Eliot bases the structure of the poem around Dante’s The Divine Comedy in order to set up a journey for Prufrock in his own personal Hell, as well as to show a contrast between inaction and passivity. The first literary reference is within the poem’s epigraph, which is a direct quote from Dante’s Inferno, which states,

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