FOR Rahul5077 only, quantitative methods
Question 1
| 1. Call centers typically have high turnover. The director of human resources for a large bank has compiled data on about 70 former employees at one of the bank's call center in the Excel file Call Center Data. In writing | |||||||||||||||||||
| an article about call center working conditions, a reporter has claimed that the average tenure is no more than two years. Formulate and test a hypothesis using these data to determine if this claim can be disputed. | |||||||||||||||||||
| Length of Service (years) | |||||||||||||||||||
| 7.02 | |||||||||||||||||||
| 3.47 | |||||||||||||||||||
| 2.07 | |||||||||||||||||||
| 1.78 | |||||||||||||||||||
| 4.42 | |||||||||||||||||||
| 3.29 | |||||||||||||||||||
| 3.05 | |||||||||||||||||||
| 0.49 | |||||||||||||||||||
| 0.61 | |||||||||||||||||||
| 3.12 | |||||||||||||||||||
| 2.95 | |||||||||||||||||||
| 2.15 | |||||||||||||||||||
| 4.03 | |||||||||||||||||||
| 3.53 | |||||||||||||||||||
| 2.47 | |||||||||||||||||||
| 2.15 | |||||||||||||||||||
| 3.27 | |||||||||||||||||||
| 1.10 | |||||||||||||||||||
| 1.78 | |||||||||||||||||||
| 1.94 | |||||||||||||||||||
| 2.91 | |||||||||||||||||||
| 3.02 | |||||||||||||||||||
| 2.53 | |||||||||||||||||||
| 1.84 | |||||||||||||||||||
| 2.88 | |||||||||||||||||||
| 2.20 | |||||||||||||||||||
| 1.44 | |||||||||||||||||||
| 2.53 | |||||||||||||||||||
| 1.41 | |||||||||||||||||||
| 1.08 | |||||||||||||||||||
| 0.98 | |||||||||||||||||||
| 0.63 | |||||||||||||||||||
| 1.30 | |||||||||||||||||||
| 2.13 | |||||||||||||||||||
| 2.30 | |||||||||||||||||||
| 2.05 | |||||||||||||||||||
| 2.13 | |||||||||||||||||||
| 2.12 | |||||||||||||||||||
| 2.16 | |||||||||||||||||||
| 2.04 | |||||||||||||||||||
| 1.70 | |||||||||||||||||||
| 2.11 | |||||||||||||||||||
| 1.75 | |||||||||||||||||||
| 2.15 | |||||||||||||||||||
| 2.12 | |||||||||||||||||||
| 0.37 | |||||||||||||||||||
| 1.95 | |||||||||||||||||||
| 1.02 | |||||||||||||||||||
| 1.26 | |||||||||||||||||||
| 1.04 | |||||||||||||||||||
| 1.64 | |||||||||||||||||||
| 1.75 | |||||||||||||||||||
| 1.71 | |||||||||||||||||||
| 1.29 | |||||||||||||||||||
| 1.48 | |||||||||||||||||||
| 1.31 | |||||||||||||||||||
| 1.46 | |||||||||||||||||||
| 1.88 | |||||||||||||||||||
| 1.16 | |||||||||||||||||||
| 1.16 | |||||||||||||||||||
| 1.05 | |||||||||||||||||||
| 0.96 | |||||||||||||||||||
| 1.24 | |||||||||||||||||||
| 0.81 | |||||||||||||||||||
| 0.87 | |||||||||||||||||||
| 0.99 | |||||||||||||||||||
| 0.76 | |||||||||||||||||||
| 0.32 | |||||||||||||||||||
| 0.35 | |||||||||||||||||||
| 0.57 | |||||||||||||||||||
1 - Call Center Data
| Call Center Data | ||||
| Male = 1 Female = 0 | Yes = 1 No = 0 | Yes = 1 No = 0 | ||
| Gender | Starting Age | Prior Call Center Experience | College Degree | Length of Service (years) |
| 0 | 18 | 0 | 0 | 7.02 |
| 1 | 18 | 1 | 0 | 3.47 |
| 0 | 19 | 0 | 0 | 2.07 |
| 0 | 19 | 0 | 0 | 1.78 |
| 0 | 19 | 0 | 0 | 4.42 |
| 0 | 19 | 0 | 0 | 3.29 |
| 0 | 19 | 1 | 0 | 3.05 |
| 1 | 19 | 1 | 0 | 0.49 |
| 1 | 19 | 1 | 0 | 0.61 |
| 1 | 19 | 0 | 0 | 3.12 |
| 0 | 20 | 0 | 0 | 2.95 |
| 0 | 20 | 1 | 0 | 2.15 |
| 0 | 20 | 0 | 0 | 4.03 |
| 1 | 20 | 0 | 0 | 3.53 |
| 1 | 20 | 0 | 0 | 2.47 |
| 0 | 21 | 0 | 0 | 2.15 |
| 1 | 21 | 0 | 0 | 3.27 |
| 1 | 21 | 0 | 0 | 1.10 |
| 1 | 21 | 0 | 0 | 1.78 |
| 0 | 22 | 0 | 0 | 1.94 |
| 0 | 22 | 1 | 0 | 2.91 |
| 0 | 23 | 1 | 0 | 3.02 |
| 0 | 23 | 1 | 0 | 2.53 |
| 0 | 23 | 0 | 1 | 1.84 |
| 1 | 23 | 1 | 0 | 2.88 |
| 1 | 23 | 0 | 0 | 2.20 |
| 1 | 23 | 0 | 1 | 1.44 |
| 1 | 24 | 0 | 0 | 2.53 |
| 1 | 24 | 0 | 1 | 1.41 |
| 1 | 24 | 0 | 1 | 1.08 |
| 0 | 25 | 1 | 1 | 0.98 |
| 1 | 25 | 1 | 0 | 0.63 |
| 1 | 25 | 0 | 1 | 1.30 |
| 1 | 25 | 1 | 1 | 2.13 |
| 0 | 26 | 1 | 0 | 2.30 |
| 0 | 26 | 1 | 1 | 2.05 |
| 0 | 26 | 1 | 1 | 2.13 |
| 1 | 26 | 1 | 1 | 2.12 |
| 1 | 26 | 0 | 1 | 2.16 |
| 1 | 27 | 0 | 0 | 2.04 |
| 0 | 28 | 0 | 0 | 1.70 |
| 0 | 28 | 0 | 1 | 2.11 |
| 1 | 29 | 0 | 1 | 1.75 |
| 0 | 30 | 0 | 1 | 2.15 |
| 1 | 30 | 1 | 0 | 2.12 |
| 1 | 30 | 0 | 1 | 0.37 |
| 0 | 31 | 0 | 0 | 1.95 |
| 0 | 31 | 0 | 0 | 1.02 |
| 0 | 31 | 0 | 1 | 1.26 |
| 1 | 31 | 0 | 0 | 1.04 |
| 0 | 32 | 0 | 1 | 1.64 |
| 1 | 32 | 1 | 0 | 1.75 |
| 1 | 32 | 1 | 1 | 1.71 |
| 1 | 33 | 0 | 0 | 1.29 |
| 0 | 34 | 1 | 0 | 1.48 |
| 0 | 34 | 0 | 1 | 1.31 |
| 1 | 34 | 0 | 0 | 1.46 |
| 1 | 34 | 1 | 0 | 1.88 |
| 1 | 36 | 0 | 1 | 1.16 |
| 0 | 39 | 0 | 0 | 1.16 |
| 0 | 39 | 0 | 1 | 1.05 |
| 1 | 39 | 0 | 0 | 0.96 |
| 0 | 40 | 1 | 0 | 1.24 |
| 0 | 40 | 0 | 0 | 0.81 |
| 1 | 41 | 1 | 0 | 0.87 |
| 0 | 43 | 1 | 0 | 0.99 |
| 0 | 43 | 1 | 0 | 0.76 |
| 0 | 45 | 0 | 0 | 0.32 |
| 0 | 47 | 1 | 1 | 0.35 |
| 0 | 50 | 1 | 0 | 0.57 |
Question 4
| 5. The Excel file Sales Data provides data on a sample of customers. An industry trade publication stated that the average profit per customer for this industry was at least $4,500. Using a test of hypothesis, |
| do the data support this claim or not? The company believes that their average profit exceeds $4,500. Test a hypothesis to determine if there is evidence to support this. |
4 - Sales Data
| Sales Data | |||||
| Customer | Percent Gross Profit | Gross Sales | Gross Profit | Industry Code | Competitive Rating* |
| 1 | 51.0% | $170.00 | $86.70 | 1 | 2 |
| 2 | 32.0% | $181.00 | $57.92 | 3 | 4 |
| 3 | 20.0% | $203.00 | $40.60 | 2 | 2 |
| 4 | 22.0% | $249.00 | $54.78 | 5 | 1 |
| 5 | 21.0% | $476.00 | $99.96 | 5 | 1 |
| 6 | 21.0% | $476.00 | $99.96 | 5 | 4 |
| 7 | 22.0% | $635.00 | $139.70 | 2 | 3 |
| 8 | 34.0% | $856.00 | $291.04 | 3 | 3 |
| 9 | 26.0% | $1,062.00 | $276.12 | 4 | 2 |
| 10 | 16.6% | $1,110.00 | $183.71 | 7 | 3 |
| 11 | 20.0% | $1,153.00 | $230.60 | 7 | 3 |
| 12 | 36.0% | $1,392.00 | $501.12 | 4 | 2 |
| 13 | 18.0% | $1,743.00 | $313.74 | 4 | 2 |
| 14 | 20.0% | $2,307.00 | $461.40 | 7 | 3 |
| 15 | 5.0% | $2,534.00 | $126.70 | 4 | 5 |
| 16 | 29.0% | $2,683.00 | $778.07 | 7 | 2 |
| 17 | 10.0% | $2,780.00 | $278.00 | 2 | 3 |
| 18 | 37.0% | $3,272.00 | $1,210.64 | 5 | 3 |
| 19 | 60.0% | $3,864.00 | $2,318.40 | 7 | 1 |
| 20 | 24.0% | $3,988.00 | $957.12 | 6 | 3 |
| 21 | 9.0% | $4,072.00 | $366.48 | 7 | 3 |
| 22 | 50.0% | $4,190.00 | $2,095.00 | 5 | 3 |
| 23 | 17.0% | $4,219.00 | $717.23 | 3 | 4 |
| 24 | 32.0% | $4,711.00 | $1,507.52 | 7 | 1 |
| 25 | 15.0% | $4,824.00 | $723.60 | 6 | 3 |
| 26 | 10.0% | $4,878.00 | $487.80 | 7 | 4 |
| 27 | 13.0% | $5,157.00 | $670.41 | 7 | 2 |
| 28 | 22.0% | $5,552.00 | $1,221.44 | 2 | 3 |
| 29 | 17.0% | $5,876.00 | $998.92 | 1 | 3 |
| 30 | 19.0% | $5,888.00 | $1,118.72 | 6 | 4 |
| 31 | 6.0% | $7,632.00 | $457.92 | 5 | 4 |
| 32 | 23.0% | $8,058.00 | $1,853.34 | 3 | 3 |
| 33 | 23.0% | $12,056.00 | $2,772.88 | 7 | 2 |
| 34 | 14.0% | $12,981.00 | $1,817.34 | 2 | 4 |
| 35 | 22.0% | $13,406.00 | $2,949.32 | 2 | 3 |
| 36 | 14.0% | $15,882.00 | $2,223.48 | 7 | 3 |
| 37 | 28.0% | $16,343.00 | $4,576.04 | 3 | 3 |
| 38 | 27.0% | $19,985.00 | $5,395.95 | 5 | 3 |
| 39 | 3.0% | $20,160.00 | $604.80 | 5 | 5 |
| 40 | 46.0% | $26,616.00 | $12,243.36 | 5 | 2 |
| 41 | 26.0% | $28,018.00 | $7,284.68 | 5 | 3 |
| 42 | 11.0% | $28,950.00 | $3,184.50 | 4 | 4 |
| 43 | 18.0% | $29,646.00 | $5,336.28 | 4 | 3 |
| 44 | 37.0% | $31,019.00 | $11,477.03 | 6 | 1 |
| 45 | 20.0% | $31,305.00 | $6,261.00 | 2 | 3 |
| 46 | 21.0% | $34,769.00 | $7,301.49 | 7 | 1 |
| 47 | 10.0% | $34,817.00 | $3,481.70 | 4 | 3 |
| 48 | 14.0% | $38,609.00 | $5,405.26 | 1 | 3 |
| 49 | 9.0% | $38,923.00 | $3,503.07 | 2 | 5 |
| 50 | 16.0% | $40,536.00 | $6,485.76 | 4 | 3 |
| 51 | 22.0% | $54,851.00 | $12,067.22 | 6 | 2 |
| 52 | 21.0% | $54,861.00 | $11,520.81 | 7 | 2 |
| 53 | 17.0% | $58,063.00 | $9,870.71 | 5 | 4 |
| 54 | 11.0% | $62,862.00 | $6,914.82 | 4 | 5 |
| 55 | 7.0% | $78,574.00 | $5,500.18 | 3 | 5 |
| 56 | 14.0% | $92,776.00 | $12,988.64 | 4 | 3 |
| 57 | 15.0% | $112,837.00 | $16,925.55 | 1 | 4 |
| 58 | 13.0% | $115,999.00 | $15,079.87 | 4 | 5 |
| 59 | 21.0% | $120,854.00 | $25,379.34 | 5 | 4 |
| 60 | 14.0% | $179,101.00 | $25,074.14 | 6 | 3 |
| *Rates the amount of competition for sales of the products sold to these customers: 1 = very little competition to 5 = very competitive | |||||
Question 9
| 9. Using the data in the Excel file Consumer Transportation Survey, test the following null hypothesis: | |
| a. Individuals spend at least 10 hours per week in their vehicles. | |
| b. Individuals drive an average of 450 miles per week. | |
| c. The average age of SUV drivers is no greater than 35. | |
| d. At least 75% of individuals are satisfied with their vehicles. | |
9 - Consumer Transportation Sur
| Consumer Transportation Survey | |||||||||
| Vehicle Driven | Type | Satisfaction with vehicle | Gender | Age | # of hours per week in vehicle | Miles driven per week | Number of Children | Average number of riders | Miles from work |
| Truck | Domestic | Yes | Male | 31 | 10 | 450 | 0 | 1 | 30 |
| Truck | Domestic | Yes | Male | 29 | 5 | 370 | 1 | 1 | 22 |
| Truck | Foreign | No | Male | 26 | 12 | 580 | 0 | 1 | 15 |
| Truck | Domestic | No | Male | 18 | 6 | 300 | 0 | 1 | 20 |
| SUV | Domestic | Yes | Male | 49 | 21 | 1000 | 0 | 1 | 22 |
| SUV | Foreign | Yes | Male | 50 | 16 | 840 | 2 | 1 | 45 |
| SUV | Domestic | Yes | Male | 48 | 15 | 1400 | 3 | 4 | 25 |
| SUV | Foreign | Yes | Male | 45 | 5 | 300 | 2 | 2 | 20 |
| SUV | Domestic | Yes | Male | 45 | 15 | 850 | 0 | 1 | 25 |
| SUV | Domestic | Yes | Male | 44 | 10 | 700 | 2 | 1 | 40 |
| SUV | Foreign | Yes | Male | 41 | 5 | 350 | 1 | 1 | 20 |
| SUV | Domestic | Yes | Male | 41 | 30 | 1500 | 4 | 3 | 15 |
| SUV | Foreign | No | Female | 39 | 6 | 280 | 1 | 1 | 17 |
| SUV | Foreign | Yes | Female | 36 | 4 | 400 | 0 | 1 | 20 |
| SUV | Foreign | Yes | Female | 33 | 3 | 420 | 0 | 1 | 25 |
| SUV | Domestic | Yes | Male | 31 | 10 | 675 | 0 | 1 | 35 |
| SUV | Domestic | No | Female | 31 | 15 | 800 | 1 | 1 | 50 |
| SUV | Domestic | No | Female | 29 | 4 | 300 | 1 | 1 | 20 |
| SUV | Domestic | Yes | Male | 28 | 3 | 400 | 1 | 1 | 15 |
| Mini Van | Domestic | Yes | Female | 55 | 8 | 400 | 0 | 2 | 0 |
| Mini Van | Domestic | No | Female | 43 | 10 | 700 | 2 | 3 | 0 |
| Mini Van | Domestic | Yes | Female | 41 | 10 | 720 | 1 | 2 | 15 |
| Mini Van | Foreign | Yes | Female | 38 | 10 | 450 | 4 | 5 | 0 |
| Mini Van | Foreign | Yes | Female | 39 | 15 | 1000 | 1 | 2 | 0 |
| Mini Van | Domestic | No | Male | 35 | 5 | 350 | 2 | 2 | 0 |
| Mini Van | Domestic | Yes | Female | 33 | 10 | 800 | 2 | 3 | 0 |
| Mini Van | Foreign | Yes | Female | 32 | 2 | 200 | 4 | 5 | 5 |
| Mini Van | Foreign | Yes | Female | 28 | 8 | 350 | 3 | 4 | 0 |
| Car | Domestic | Yes | Female | 21 | 4 | 150 | 0 | 1 | 0 |
| Car | Domestic | No | Female | 62 | 5 | 175 | 0 | 2 | 0 |
| Car | Domestic | Yes | Female | 61 | 5 | 355 | 0 | 1 | 15 |
| Car | Foreign | Yes | Male | 60 | 5 | 150 | 0 | 1 | 10 |
| Car | Domestic | No | Male | 58 | 10 | 600 | 0 | 1 | 35 |
| Car | Domestic | Yes | Female | 51 | 11 | 600 | 0 | 1 | 40 |
| Car | Domestic | Yes | Female | 47 | 4 | 300 | 0 | 1 | 21 |
| Car | Domestic | No | Male | 46 | 4 | 275 | 0 | 1 | 18 |
| Car | Domestic | No | Male | 44 | 6 | 285 | 2 | 3 | 16 |
| Car | Foreign | No | Female | 42 | 5 | 400 | 2 | 3 | 22 |
| Car | Foreign | Yes | Female | 41 | 5 | 350 | 2 | 2 | 23 |
| Car | Domestic | No | Female | 41 | 10 | 600 | 1 | 2 | 34 |
| Car | Domestic | Yes | Female | 39 | 10 | 700 | 1 | 2 | 45 |
| Car | Foreign | Yes | Female | 34 | 10 | 600 | 1 | 2 | 16 |
| Car | Foreign | Yes | Male | 33 | 5 | 400 | 1 | 2 | 22 |
| Car | Foreign | Yes | Male | 30 | 5 | 350 | 1 | 2 | 18 |
| Car | Domestic | Yes | Female | 29 | 5 | 250 | 0 | 1 | 19 |
| Car | Foreign | Yes | Female | 27 | 6 | 355 | 0 | 2 | 23 |
| Car | Foreign | Yes | Female | 26 | 5 | 175 | 0 | 1 | 11 |
| Car | Domestic | No | Female | 24 | 5 | 300 | 0 | 1 | 4 |
| Car | Domestic | Yes | Female | 22 | 5 | 350 | 0 | 1 | 3 |
| Car | Foreign | No | Female | 19 | 5 | 500 | 0 | 2 | 4 |
Question 11
| 11. The Excel file Baseball Attendance shows the attendance in thousands at San Francisco Giants' baseball games for the 10 years before the Oakland A's moved to the Bay Area in 1968, as well as the combined |
| attendance for both teams for the next 11 years. Is there a statistical reason to believe that overall attendance has changed after the A's move? |
11 - Baseball Attendance
| Baseball Attendance | ||
| 0 = San Francisco Giants (1958-1967 seasons) | ||
| Year | Attendance | 1 = Giants plus Oakland A's after A's move to Oakland (1968-1978 seasons) |
| 1958 | 1273 | 0 |
| 1959 | 1422 | 0 |
| 1960 | 1795 | 0 |
| 1961 | 1391 | 0 |
| 1962 | 1593 | 0 |
| 1963 | 1571 | 0 |
| 1964 | 1504 | 0 |
| 1965 | 1546 | 0 |
| 1966 | 1657 | 0 |
| 1967 | 1242 | 0 |
| 1968 | 1674 | 1 |
| 1969 | 1652 | 1 |
| 1970 | 1519 | 1 |
| 1971 | 2021 | 1 |
| 1972 | 1569 | 1 |
| 1973 | 1835 | 1 |
| 1974 | 1366 | 1 |
| 1975 | 1601 | 1 |
| 1976 | 1408 | 1 |
| 1977 | 1196 | 1 |
| 1978 | 2267 | 1 |