#34 ### Understanding the t-Distribution and Critical Values#### Problem 34: Determining the t ValueConsider the value of $ t $ such that 0.1 of the area under the curve is to the right of $ t $.**Step 1:** Select the graph which best represents the given description of $ t $.There are four graphs provided:1. **Graph 1:** A bell-shaped curve (normal distribution) with $ t $ marked on the right side of the y-axis at $ t = ? $, indicating the area to the right of $ t $.2. **Graph 2:** Similar to Graph 1, but $ t $ is on the left side of the y-axis at $ t = ? $, indicating the area to the right of $ t $.3. **Graph 3:** A bell-shaped curve with $ t $ on the left side of the y-axis and symmetrically $ -t = ? $ on the other side, indicating both sides of a central area.4. **Graph 4:** Similar to Graph 3, but $ t $ placed slightly further left of 0, indicating $ -t = ? $.**Correct Selection:**Based on the given description (0.1 of the area under the curve is to the right of $ t $), **Graph 1** is the best representation. Here, the area under the curve to the right of $ t $ is marked as 0.1.**Step 2:** Assuming the degrees of freedom equals 10, select the $ t $ value from the $ t $ table.**Answer:** ________________### Explanation of GraphsEach graph represents the t-distribution (a bell-shaped curve) with slight differences in the position of $ t $:1. **Graph 1:** $ t $ is to the right of the central y-axis, marking where 0.1 of the total area lies to the right. Ideal for values where we seek the upper tail probability.2. **Graph 2:** $ t $ is to the left of the central y-axis, opposite of Graph 1.3. **Graph 3 and 4:** Both depict symmetric distributions around the mean with marked $ \pm t $, useful for central probabilities or two-tailed tests.**Note:** In calculating statistical values, the degrees of freedom and appropriate \(

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Description: #34 ### Understanding the t-Distribution and Critical Values#### Problem 34: Determining the t ValueConsider the value of $ t $ such that 0.1 of the area under the curve is to the right of $ t $.**Step 1:** Select the graph which best represents

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34. Consider the value of t such that 0.1 of the area under the curve is to the right of t. Step 1. Select the graph which best represents the given description of t. MAT 106.04 Professor Felix 130 of 135 nom ho o t=? t=? 0 7-7 -t=? Step 2. Assuming the degrees of freedom equals 10, select the t value from the t table. Answer:

34. Consider the value of t such that 0.1 of the area under the curve is to the right of t. Step 1. Select the graph which best represents the given description of t. MAT 106.04 Professor Felix 130 of 135 nom ho o t=? t=? 0 7-7 -t=? Step 2. Assuming the degrees of freedom equals 10, select the t value from the t table. Answer:

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#34

### Understanding the t-Distribution and Critical Values

#### Problem 34: Determining the t Value
Consider the value of $ t $ such that 0.1 of the area under the curve is to the right of $ t $.

**Step 1:** Select the graph which best represents the given description of $ t $.

There are four graphs provided:

1. **Graph 1:** A bell-shaped curve (normal distribution) with $ t $ marked on the right side of the y-axis at $ t = ? $, indicating the area to the right of $ t $.
2. **Graph 2:** Similar to Graph 1, but $ t $ is on the left side of the y-axis at $ t = ? $, indicating the area to the right of $ t $.
3. **Graph 3:** A bell-shaped curve with $ t $ on the left side of the y-axis and symmetrically $ -t = ? $ on the other side, indicating both sides of a central area.
4. **Graph 4:** Similar to Graph 3, but $ t $ placed slightly further left of 0, indicating $ -t = ? $.

**Correct Selection:**
Based on the given description (0.1 of the area under the curve is to the right of $ t $), **Graph 1** is the best representation. Here, the area under the curve to the right of $ t $ is marked as 0.1.

**Step 2:** Assuming the degrees of freedom equals 10, select the $ t $ value from the $ t $ table.

**Answer:** ________________

### Explanation of Graphs
Each graph represents the t-distribution (a bell-shaped curve) with slight differences in the position of $ t $:

1. **Graph 1:** $ t $ is to the right of the central y-axis, marking where 0.1 of the total area lies to the right. Ideal for values where we seek the upper tail probability.
2. **Graph 2:** $ t $ is to the left of the central y-axis, opposite of Graph 1.
3. **Graph 3 and 4:** Both depict symmetric distributions around the mean with marked $ \pm t $, useful for central probabilities or two-tailed tests.

**Note:** In calculating statistical values, the degrees of freedom and appropriate \(

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