Time can be expressed on different levels of scale, including days, weeks, months, and years. Can the scale provided influence perception of time? For example, if you placed an order over the phone, would it make a difference if you were told the package would arrive in four weeks or in one month? To investigate this, two researchers asked a group of 267 college students to imagine that their car needed major repairs and would have to stay at the shop. Depending on the group they were randomized to, the student was either told it would take 1 month or 30/31 days. Each student was then asked to give best- and worst-case estimates of when the car would be ready. The interval between these two estimates (in days) was the response. Here are the results: Group n x 30/31 days 177 1 month 90 What would be the conservative degrees of freedom here? Type your answer... 20.4 24.8 S 14.3 13.9

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**Title: Exploring the Perception of Time Through Different Scales**

**Introduction:**
Time can be expressed on various levels of scale, such as days, weeks, months, and years. But can the scale provided influence our perception of time? For example, if you placed an order over the phone, would the perception differ if you were told the package would arrive in four weeks or one month?

**Study Overview:**
To investigate this, two researchers conducted an experiment with a group of 267 college students. The students were asked to imagine that their car needed major repairs and would have to stay at the shop. They were randomly assigned to two groups: one group was told the repair would take "30/31 days," and the other "1 month." Each student provided best- and worst-case estimates of when the car would be ready. The interval between these two estimates (in days) was recorded.

**Results:**

| Group       | n   | \(\bar{x}\) | s    |
|-------------|-----|-------------|------|
| 30/31 days  | 177 | 20.4        | 14.3 |
| 1 month     | 90  | 24.8        | 13.9 |

**Question:**
What would be the conservative degrees of freedom here?

---

**Explanation:**
- **Group:** Refers to whether the time was expressed in days (30/31 days) or in months (1 month).
- **n:** Represents the number of students in each group.
- \(\bar{x}\): The average interval estimate (in days) of when the car would be ready, based on the students' best- and worst-case scenarios.
- **s:** Standard deviation of the interval estimates, indicating the variation in the students' replies.

This study provides insights into how wording and time scale can affect perceptions and estimates made by individuals.
Transcribed Image Text:**Title: Exploring the Perception of Time Through Different Scales** **Introduction:** Time can be expressed on various levels of scale, such as days, weeks, months, and years. But can the scale provided influence our perception of time? For example, if you placed an order over the phone, would the perception differ if you were told the package would arrive in four weeks or one month? **Study Overview:** To investigate this, two researchers conducted an experiment with a group of 267 college students. The students were asked to imagine that their car needed major repairs and would have to stay at the shop. They were randomly assigned to two groups: one group was told the repair would take "30/31 days," and the other "1 month." Each student provided best- and worst-case estimates of when the car would be ready. The interval between these two estimates (in days) was recorded. **Results:** | Group | n | \(\bar{x}\) | s | |-------------|-----|-------------|------| | 30/31 days | 177 | 20.4 | 14.3 | | 1 month | 90 | 24.8 | 13.9 | **Question:** What would be the conservative degrees of freedom here? --- **Explanation:** - **Group:** Refers to whether the time was expressed in days (30/31 days) or in months (1 month). - **n:** Represents the number of students in each group. - \(\bar{x}\): The average interval estimate (in days) of when the car would be ready, based on the students' best- and worst-case scenarios. - **s:** Standard deviation of the interval estimates, indicating the variation in the students' replies. This study provides insights into how wording and time scale can affect perceptions and estimates made by individuals.
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