In 2017, Americans spent a record-high $9.1 billion on Halloween-related purchases (the balance website). Sample data showing the amount, in dollars, 16 adults spent on a Halloween costume are as follows. 71 22 36 33 13 15 32 63 a. What is the estimate of the population mean amount adults spend on a Halloween costume (to 2 decimals)? $41.38 b. What is the sample standard deviation (to 2 decimals)? $ c. Provide a 95% confidence interval estimate of the population standard deviation for the amount adults spend on a Halloween costume (to 2 decimals). Use Table 11.1.

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### American Spending on Halloween Costumes

In **2017**, Americans spent a record-high **$9.1 billion** on Halloween-related purchases according to The Balance website. Sample data showing the amount, in dollars, 16 adults spent on a Halloween costume are as follows:

| 12 | 71 | 22 | 66 |
|----|----|----|----|
| 31 | 36 | 33 | 47 |
| 55 | 13 | 15 | 97 |
| 44 | 32 | 63 | 25 |

#### Questions:

**a. What is the estimate of the population mean amount adults spend on a Halloween costume (to 2 decimals)?**

Estimated Mean: **$41.38**

**b. What is the sample standard deviation (to 2 decimals)?**

Sample Standard Deviation: **[To be calculated]**

**c. Provide a 95% confidence interval estimate of the population standard deviation for the amount adults spend on a Halloween costume (to 2 decimals). Use [Table 11.1](#)**.

Confidence Interval: **$[Lower Limit] \leq \sigma \leq $[Upper Limit]**

### Detailed Explanation of Data Presentation

The data is presented in a tabular format showing individual spending amounts for 16 adults. These amounts are critical for calculating the sample mean and sample standard deviation, which are foundational statistics used to estimate the population parameters based on the sample data. The confidence interval provides a range within which the true population standard deviation is likely to fall, with a given level of confidence (95% in this case). This method allows for inference about the population from which the sample was taken.
Transcribed Image Text:### American Spending on Halloween Costumes In **2017**, Americans spent a record-high **$9.1 billion** on Halloween-related purchases according to The Balance website. Sample data showing the amount, in dollars, 16 adults spent on a Halloween costume are as follows: | 12 | 71 | 22 | 66 | |----|----|----|----| | 31 | 36 | 33 | 47 | | 55 | 13 | 15 | 97 | | 44 | 32 | 63 | 25 | #### Questions: **a. What is the estimate of the population mean amount adults spend on a Halloween costume (to 2 decimals)?** Estimated Mean: **$41.38** **b. What is the sample standard deviation (to 2 decimals)?** Sample Standard Deviation: **[To be calculated]** **c. Provide a 95% confidence interval estimate of the population standard deviation for the amount adults spend on a Halloween costume (to 2 decimals). Use [Table 11.1](#)**. Confidence Interval: **$[Lower Limit] \leq \sigma \leq $[Upper Limit]** ### Detailed Explanation of Data Presentation The data is presented in a tabular format showing individual spending amounts for 16 adults. These amounts are critical for calculating the sample mean and sample standard deviation, which are foundational statistics used to estimate the population parameters based on the sample data. The confidence interval provides a range within which the true population standard deviation is likely to fall, with a given level of confidence (95% in this case). This method allows for inference about the population from which the sample was taken.
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