Statistics

APPLIED STATISTICS
NAME:
DATE

TAKE HOME TEST 3 (40 points)

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