A researcher conducted a paired samples study to investigate whether local car dealers tend to charge women more than men for the same car model. Using information from the county tax collector's records, the researcher randomly selected one man and one woman from among everyone who had purchased the same model of an identically equipped car from the same dealer. The process was repeated for a total of 6 randomly selected car models. The purchase prices and the differences, d the table below. Selected summary statistics are also shown: = woman man, are shown in Car Model 1 2 3 4 5. 6. Mean Std Dev Women $20.100 $17,400 $32.500 $17,710 $29.600 $46.300 $27.268.33 $11.270.69 Men $19,580 $17,500 $32.300 $17,720 $28.300 $45.630 S26.838.33 S11.028.37 Difference $520 -$100 $200 -$10 S1.300 $670 $430.00 $519.62 Which of the following is the appropriate alternative hypothesis for a matched pairs t-test to address the researcher's question of interest? 0> Prt o

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A researcher conducted a paired samples study to investigate whether local car dealers tend to charge women more than men for the same car model. Using information from the county tax collector’s records, the researcher randomly selected one man and one woman from among everyone who had purchased the same model of an identically equipped car from the same dealer. The process was repeated for a total of 6 randomly selected car models. The purchase prices and the differences, \( d = \text{{woman}} - \text{{man}} \), are shown in the table below. Selected summary statistics are also shown:

| Car Model | Women   | Men     | Difference |
|-----------|---------|---------|------------|
| 1         | $20,100 | $19,580 | $520       |
| 2         | $17,400 | $17,500 | -$100      |
| 3         | $32,500 | $32,300 | $200       |
| 4         | $17,710 | $17,720 | -$10       |
| 5         | $29,000 | $28,300 | $700       |
| 6         | $46,300 | $45,630 | $670       |
| **Mean**  | $27,268.33 | $26,838.33 | $430.00   |
| **Std Dev** | $11,270.69 | $11,028.37 | $519.62   |

Which of the following is the appropriate alternative hypothesis for a matched pairs t-test to address the researcher’s question of interest?

- \( \mu_d > 0 \)
- \( \mu_d < 0 \)
- \( \bar{x}_d > 0 \)
- \( \bar{x}_d < 0 \)
Transcribed Image Text:A researcher conducted a paired samples study to investigate whether local car dealers tend to charge women more than men for the same car model. Using information from the county tax collector’s records, the researcher randomly selected one man and one woman from among everyone who had purchased the same model of an identically equipped car from the same dealer. The process was repeated for a total of 6 randomly selected car models. The purchase prices and the differences, \( d = \text{{woman}} - \text{{man}} \), are shown in the table below. Selected summary statistics are also shown: | Car Model | Women | Men | Difference | |-----------|---------|---------|------------| | 1 | $20,100 | $19,580 | $520 | | 2 | $17,400 | $17,500 | -$100 | | 3 | $32,500 | $32,300 | $200 | | 4 | $17,710 | $17,720 | -$10 | | 5 | $29,000 | $28,300 | $700 | | 6 | $46,300 | $45,630 | $670 | | **Mean** | $27,268.33 | $26,838.33 | $430.00 | | **Std Dev** | $11,270.69 | $11,028.37 | $519.62 | Which of the following is the appropriate alternative hypothesis for a matched pairs t-test to address the researcher’s question of interest? - \( \mu_d > 0 \) - \( \mu_d < 0 \) - \( \bar{x}_d > 0 \) - \( \bar{x}_d < 0 \)
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