Statistics Help
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Using the Car Sales data in the attached spreadsheet answer the following questions
|
Dealership |
Sales people |
New Car Brand |
New cars sold each week |
Used Cars sold each week |
BBB Rating |
Profit from New Car Sales |
Profit from Used Car Sales |
Profit* |
|
A1 |
19 |
Ford |
12 |
7 |
AAA |
45300 |
24047 |
69347 |
|
A2 |
10 |
Toyota |
15 |
6 |
AA+ |
52995 |
14576 |
67571 |
|
A3 |
10 |
Dodge |
12 |
8 |
AA+ |
35988 |
17864 |
45125 |
|
A4 |
10 |
VW |
8 |
6 |
A |
29200 |
2144 |
31344 |
|
A5 |
18 |
Dodge |
12 |
3 |
AA |
47124 |
784 |
47908 |
|
A6 |
9 |
Toyota |
10 |
7 |
AA |
36150 |
3719 |
39869 |
|
A7 |
20 |
Dodge |
15 |
2 |
A |
53310 |
-1158 |
52152 |
|
A8 |
7 |
Dodge |
3 |
6 |
A |
11562 |
18410 |
29972 |
|
A9 |
11 |
Toyota |
4 |
2 |
AAA |
14592 |
14500 |
15472 |
|
A10 |
18 |
Toyota |
6 |
3 |
AAA |
20970 |
14541 |
35511 |
|
A11 |
14 |
Honda |
5 |
3 |
A |
15745 |
47 |
15792 |
|
A12 |
15 |
Ford |
6 |
2 |
AAA |
17250 |
15078 |
32328 |
|
A13 |
5 |
Toyota |
10 |
7 |
AAA |
32290 |
24278 |
56568 |
|
A14 |
7 |
Dodge |
11 |
2 |
AA+ |
45727 |
10942 |
56669 |
|
A15 |
19 |
Dodge |
5 |
3 |
A |
19440 |
13391 |
32831 |
|
A16 |
5 |
Ford |
11 |
7 |
AAA |
37928 |
18321 |
56249 |
|
A17 |
6 |
Toyota |
5 |
8 |
AA+ |
19385 |
14976 |
34361 |
|
A18 |
22 |
Dodge |
14 |
4 |
AA+ |
43624 |
12288 |
55912 |
|
A19 |
19 |
Ford |
11 |
3 |
A |
31702 |
991 |
22458 |
|
A20 |
10 |
Ford |
7 |
2 |
AA+ |
20188 |
9780 |
29968 |
|
A21 |
20 |
Honda |
5 |
3 |
AA+ |
16710 |
11591 |
28301 |
|
A22 |
7 |
Toyota |
9 |
6 |
AA |
30753 |
15578 |
46331 |
|
A23 |
7 |
VW |
12 |
3 |
AA+ |
36564 |
10475 |
47039 |
|
A24 |
11 |
Honda |
14 |
8 |
AAA |
41706 |
20432 |
18423 |
|
A25 |
15 |
Ford |
8 |
7 |
AAA |
33536 |
16449 |
49985 |
|
A26 |
9 |
Toyota |
14 |
5 |
AA+ |
48244 |
15230 |
63474 |
|
A27 |
19 |
Ford |
5 |
7 |
AAA |
15350 |
22913 |
38263 |
|
A28 |
15 |
Dodge |
14 |
4 |
AA+ |
47768 |
14544 |
62312 |
|
A29 |
10 |
Dodge |
12 |
2 |
A |
33792 |
-2386 |
31406 |
|
A30 |
5 |
Dodge |
3 |
7 |
AA+ |
12516 |
16365 |
28881 |
|
A31 |
20 |
VW |
11 |
7 |
AA |
31867 |
8563 |
40430 |
|
A32 |
8 |
Honda |
12 |
7 |
AA+ |
45036 |
15217 |
60253 |
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A33 |
13 |
Toyota |
11 |
3 |
AAA |
38181 |
1294 |
19875 |
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A34 |
8 |
Honda |
12 |
6 |
AA+ |
38268 |
16994 |
55262 |
|
A35 |
8 |
VW |
9 |
7 |
AA+ |
26685 |
16218 |
42903 |
|
A36 |
2 |
VW |
13 |
5 |
AA |
41496 |
4350 |
45846 |
|
A37 |
8 |
Dodge |
7 |
5 |
AA |
25998 |
16360 |
42358 |
|
A38 |
11 |
Ford |
12 |
8 |
AAA |
48804 |
19720 |
68524 |
|
A39 |
8 |
Honda |
9 |
5 |
AA |
25884 |
16425 |
42309 |
|
A40 |
16 |
Ford |
12 |
2 |
AA+ |
37920 |
11190 |
49110 |
* Note, other variables are included in “profit” such that the values in the Profit column do not necessarily equal the summation of Profit from New Car Sales and Profit from Used Car Sales.
1) Assuming that the Dealership column lists the names of the dealerships (i.e., it is not a variable), which variables are qualitative?
A. Sales people
B. New Car Brand
C. BBB Rating
D. Profit
E. Both B and C are correct
2) The New Car Brand is
A. nominal
B. ordinal
C. interval
D. ratio
3) New Cars Sold Each Week is
A. ratio
B. ordinal
C. interval
D. nominal
4) Used Cars Sold Each Week is
A. Discrete
B. Continuous
C. ratio
D. nominal
E. Both A and C are correct
5) The relative frequency of “AA+” rating is
A. 0.375
B. 0.25
C. 0.475
D. 1.0
6) Using the following class widths for Profit, what is the frequency for stores with a profit of 30,000 – 39,999
|
Profit |
Freq |
|
10000-19999 |
|
|
20000-29999 |
|
|
30000-39999 |
|
|
40000-49999 |
|
|
50000-59999 |
|
|
60000-69999 |
|
A. 8
B. 10
C. 7
D. 1
7) Using the above classes, the percent frequency for 50,000 to 59,999 is
A. 0.15
B. 27.5
C. 15.0
D. 0.275
8) Which histogram is correct?
9) If the car sales data is from 50 of 100 total stores in the company and it was collected on the first of July, it is:
A. A cross sectional population
B. A cross sectional sample
C. A time series sample
D. A time series population
10) If you wanted to compare Profit to Number of sales persons, which approach might be the used
A. A scatter plot with profit on the x-axis and sales persons on the y-axis
B. A scatter plot with profit on the y-axis and sales persons on the x-axis
C. A contingency table with profit as the row labels and sales people as the column headings
D. Either B or C are correct
E. Either A or C are correct
11) What is the average number of Sales People?
A. 12.93
B. 13.16
C. 11.85
D. 9.65
12) What is the standard deviation for number of Sales People?
A. 3.5
B. 5.34
C. 28.49
D. 8.65
13) Which of the following statements is correct
A. Sales people is more dispersed than New Cars Sold Each Week
B. Used cars sold each week is less dispersed New Cars Sold Each Week
C. New cars sold each week is less dispersed than Used Cars Sold Each Week
D. Both A and C are correct
14) The mode for BBB Rating is
A. 15
B. AA+
C. AAA
D. None of the above is correct (qualitative data can’t have a mode)
15) The 35th percentile for Used Cars Sold each Week (using excel) is
A. 12.00
B. 8.65
C. 3.00
D. 4.25
16) The interquartile range for Sales People is
A. 8.5
B. 20
C. 8
D. 11
17) The range for Profit is
A. $41,748.00
B. $53,875.00
C. $26,664.00
D. $48,328.00
18) What is the median number of New Cars Sold Each Week?
A. 11
B. 5.5
C. 12
D. 6.75
19) What is the correlation between New Cars sold each week and Profit?
A. -0.254
B. 0.612
C. -0.612
D. 0.779
20) What is the variance for Used Cars Sold Each Week?
A. 7.86
B. 27.97
C. 4.56
D. 2.14
Use the following information to answer questions 21 – 24. A survey was conducted by Public Policy Polling (PPP) to determine if Americans prefer Coke or Pepsi. The following result table was compiled. Use 3 decimals in all calculations.
|
|
Gender |
|
|
|
Preference |
Female |
Male |
Total |
|
Coke |
85 |
135 |
220 |
|
Pepsi |
120 |
80 |
200 |
|
Neither/Unsure |
65 |
15 |
80 |
|
Total |
270 |
230 |
500 |
21) If an American is selected at random, what is the probability that he or she prefers Pepsi?
A. 0.43
B. 0.16
C. 0.63
D. 0.40
22) If an American is selected at random, what is the probability that the individual is male and prefers Coke?
A. 0.43
B. 0.16
C. 0.63
D. 0.27
23) If an American is selected at random, what is the probability that the individual is male or prefers Pepsi?
A. 0.43
B. 0.16
C. 0.70
D. 0.35
24) If a male respondent is asked which soda he prefers, what is the probability that he will say Coke?
A. 0.84
B. 0.16
C. 0.58
D. 0.35
25) If 5 customers arrive at Crusty’s Pizza every 10 minutes, what is the probability of exactly 12 customers arriving in the next 30 minutes (assume Poisson distribution)?
A. 0.003
B. 0.27
C. 0.083
D. 0.07
26) If the likelihood of an incomplete order form is 0.10, what is the probability that there are at least 3 incomplete order forms in a sample of 15?
A. 0.18
B. 0.82
C. 0.38
D. 0.62