(a) Categorize the problem below according to parameter being estimated, proportion p, mean u, difference of means 41 u2, or difference of proportions p1 - P2. Then solve the problem. O p O p1- P2 O 1 - 42 (b) Find an 95% confidence interval for - 42, the difference in population mean litter size between Ontario and Finland. (Use 1 decimal place.) lower limit upper limit (c) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 95% level of confidence, does it appear that the average litter size of wolf pups in Ontario is greater than the average litter size in Finland? O Because the interval contains only positive numbers, we can say that the average litter size of wolf pups is greater in Ontario. O Because the interval contains both positive and negative numbers, we can not say that the average litter size of wolf pups is greater in Ontario. O We can not make any conclusions using this confidence interval. O Because the interval contains only negative numbers, we can say that the average litter size of wolf pups is greater in Finland.

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### Statistical Analysis of Wolf Pups Average Litter Size in Ontario and Finland

#### Introduction
A random sample of 23 wolf litters in Ontario, Canada, gave an average of \( \bar{x_1} = 5.8 \) wolf pups per litter, with an estimated sample standard deviation \( s_1 = 1.8 \). Another random sample of 14 wolf litters in Finland gave an average of \( \bar{x_2} = 2.0 \) wolf pups per litter, with an estimated sample standard deviation \( s_2 = 1.4 \).

#### Problem Categorization
(a) **Categorize the problem below according to the parameter being estimated**:
- \( p \)
- \( \mu \)
- \( p_1 - p_2 \)
- \( \mu_1 - \mu_2 \)

**Problem Approach**: Identify and solve the problem accordingly.

#### Confidence Interval Calculation
(b) **Find a 95% confidence interval for \( \mu_1 - \mu_2 \)**, the difference in population mean litter size between Ontario and Finland. (Use 1 decimal place.)

- **Lower limit**: ___________
- **Upper limit**: ___________

#### Interpretation of the Confidence Interval
(c) **Examine the confidence interval and explain what it means in the context of this problem**. Does the interval consist of numbers that are all positive? All negative? Of different signs? At the 95% level of confidence, does it appear that the average litter size of wolf pups in Ontario is greater than the average litter size in Finland?

Multiple-choice options to interpret the findings:
- **Option 1**: Because the interval contains only positive numbers, we can say that the average litter size of wolf pups is greater in Ontario.
- **Option 2**: Because the interval contains both positive and negative numbers, we cannot say that the average litter size of wolf pups is greater in Ontario.
- **Option 3**: We can not make any conclusions using this confidence interval.
- **Option 4**: Because the interval contains only negative numbers, we can say that the average litter size of wolf pups is greater in Finland.

#### Submission
Click the "Submit Answer" button to record your responses.

#### Navigation
- **View Previous Question**
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This exercise will help students understand how to categorize statistical problems, compute confidence intervals
Transcribed Image Text:### Statistical Analysis of Wolf Pups Average Litter Size in Ontario and Finland #### Introduction A random sample of 23 wolf litters in Ontario, Canada, gave an average of \( \bar{x_1} = 5.8 \) wolf pups per litter, with an estimated sample standard deviation \( s_1 = 1.8 \). Another random sample of 14 wolf litters in Finland gave an average of \( \bar{x_2} = 2.0 \) wolf pups per litter, with an estimated sample standard deviation \( s_2 = 1.4 \). #### Problem Categorization (a) **Categorize the problem below according to the parameter being estimated**: - \( p \) - \( \mu \) - \( p_1 - p_2 \) - \( \mu_1 - \mu_2 \) **Problem Approach**: Identify and solve the problem accordingly. #### Confidence Interval Calculation (b) **Find a 95% confidence interval for \( \mu_1 - \mu_2 \)**, the difference in population mean litter size between Ontario and Finland. (Use 1 decimal place.) - **Lower limit**: ___________ - **Upper limit**: ___________ #### Interpretation of the Confidence Interval (c) **Examine the confidence interval and explain what it means in the context of this problem**. Does the interval consist of numbers that are all positive? All negative? Of different signs? At the 95% level of confidence, does it appear that the average litter size of wolf pups in Ontario is greater than the average litter size in Finland? Multiple-choice options to interpret the findings: - **Option 1**: Because the interval contains only positive numbers, we can say that the average litter size of wolf pups is greater in Ontario. - **Option 2**: Because the interval contains both positive and negative numbers, we cannot say that the average litter size of wolf pups is greater in Ontario. - **Option 3**: We can not make any conclusions using this confidence interval. - **Option 4**: Because the interval contains only negative numbers, we can say that the average litter size of wolf pups is greater in Finland. #### Submission Click the "Submit Answer" button to record your responses. #### Navigation - **View Previous Question** - **View Next Question** This exercise will help students understand how to categorize statistical problems, compute confidence intervals
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