Is Friday the 13th Unlucky? The table shows the number of hospital admissions for Friday the 6th and Friday the 13th. Assume that the two samples are randomly selected. At the 0.01 significance level, test the claim that there is no mean difference in the number of hospital admissions for Friday the 6th and Friday the 13th. (Be sure to subtract in the same direction).

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Chapter1: Starting With Matlab
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Based on the hypotheses, find the following:

**Test Statistic =** [Textbox] *(Round to three decimal places.)*

**Critical value(s) =** ±[Textbox] *(Round to three decimal places.)*

**p-value =** [Textbox] *(Round to four decimal places.)*

Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The arrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these values correspond to the tick marks on the horizontal axis). Select from the drop-down menu to shade to the left, to the right, between, or left and right of the t-score(s).

**Options for Shading:**
- Left of a value
- Right of a value
- Between two values
- 2 regions

**Diagram Explanation:**

The diagram is a normal distribution curve with a shaded left tail. The x-axis ranges from -4 to 4 with tick marks at each integer. The left tail is shaded in blue to the left of the value -1.5.

**Decision:**

Select an answer from [Dropdown Menu].

**Conclusion:**

Select an answer from [Dropdown Menu] the claim that there is no mean difference in the number of hospital admissions for Friday the 6th and Friday the 13th.
Transcribed Image Text:Based on the hypotheses, find the following: **Test Statistic =** [Textbox] *(Round to three decimal places.)* **Critical value(s) =** ±[Textbox] *(Round to three decimal places.)* **p-value =** [Textbox] *(Round to four decimal places.)* Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The arrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these values correspond to the tick marks on the horizontal axis). Select from the drop-down menu to shade to the left, to the right, between, or left and right of the t-score(s). **Options for Shading:** - Left of a value - Right of a value - Between two values - 2 regions **Diagram Explanation:** The diagram is a normal distribution curve with a shaded left tail. The x-axis ranges from -4 to 4 with tick marks at each integer. The left tail is shaded in blue to the left of the value -1.5. **Decision:** Select an answer from [Dropdown Menu]. **Conclusion:** Select an answer from [Dropdown Menu] the claim that there is no mean difference in the number of hospital admissions for Friday the 6th and Friday the 13th.
**Is Friday the 13th Unlucky?**

The table below shows the number of hospital admissions for Friday the 6th and Friday the 13th. Assume that the two samples are randomly selected. At the 0.01 significance level, test the claim that there is no mean difference in the number of hospital admissions for Friday the 6th and Friday the 13th. (Be sure to subtract in the same direction.)

| Friday 6th | Friday 13th | Difference |
|------------|-------------|------------|
| 8          | 11          |            |
| 9          | 8           |            |
| 3          | 7           |            |
| 5          | 6           |            |
| 2          | 5           |            |
| 12         | 11          |            |
| 7          | 12          |            |

**What are the correct hypotheses? (Select the correct symbols and values.)**

- \( H_0: \) [Select an answer] [Select an answer]
- \( H_1: \) [Select an answer] [Select an answer]
- Original Claim = [Select an answer]

\( df = \) [Enter a value]

**Explanation of Hypotheses:**

- \( H_0 \) (Null Hypothesis): Suggests that there is no mean difference in hospital admissions between Friday the 6th and Friday the 13th.
- \( H_1 \) (Alternative Hypothesis): Suggests that there is a mean difference in hospital admissions between the two dates.

**Instructions:**

- Subtract the number of admissions on Friday the 6th from those on Friday the 13th for each pair.
- Calculate and fill in the "Difference" column.
- Determine the degrees of freedom (\( df \)) to aid in statistical testing.
- Complete the hypothesis selection and indicate the original claim based on the data analysis.
Transcribed Image Text:**Is Friday the 13th Unlucky?** The table below shows the number of hospital admissions for Friday the 6th and Friday the 13th. Assume that the two samples are randomly selected. At the 0.01 significance level, test the claim that there is no mean difference in the number of hospital admissions for Friday the 6th and Friday the 13th. (Be sure to subtract in the same direction.) | Friday 6th | Friday 13th | Difference | |------------|-------------|------------| | 8 | 11 | | | 9 | 8 | | | 3 | 7 | | | 5 | 6 | | | 2 | 5 | | | 12 | 11 | | | 7 | 12 | | **What are the correct hypotheses? (Select the correct symbols and values.)** - \( H_0: \) [Select an answer] [Select an answer] - \( H_1: \) [Select an answer] [Select an answer] - Original Claim = [Select an answer] \( df = \) [Enter a value] **Explanation of Hypotheses:** - \( H_0 \) (Null Hypothesis): Suggests that there is no mean difference in hospital admissions between Friday the 6th and Friday the 13th. - \( H_1 \) (Alternative Hypothesis): Suggests that there is a mean difference in hospital admissions between the two dates. **Instructions:** - Subtract the number of admissions on Friday the 6th from those on Friday the 13th for each pair. - Calculate and fill in the "Difference" column. - Determine the degrees of freedom (\( df \)) to aid in statistical testing. - Complete the hypothesis selection and indicate the original claim based on the data analysis.
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