MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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** - **View Next Question** This exercise will help students understand how to categorize statistical problems, compute confidence intervals
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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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