3. A random sample of 17 wolf litters in Ontario, Canada, gave an average of x1 = 4.9 wolf pups per litter, with estimated sample standard deviation s = 1.0. Another random sample of 6 wolf litters in Finland gave an average of x2 litter, with sample standard deviation s2 = 1.2. = 2.8 wolf pups per a. Find an 85% confidence interval for4, - 42, the difference in population mean litter size between Ontario and Finland b. Examine the confidence interval and explain what it means in the context of the problem. Does the interval consist of numbers that are all positive, all negative, or different signs? At the 85% 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?

MATLAB: An Introduction with Applications
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**Transcription for Educational Use**

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3. A random sample of 17 wolf litters in Ontario gave an average of \(\bar{x}_1 = 4.9\) wolf pups per litter, with estimated sample standard deviation \(s_1 = 10\). Another random sample of 6 wolf litters in Finland gave an average of \(\bar{x}_2 = 2.8\) wolf pups per litter with sample standard deviation \(s_2 = 12\).

a. Find an 85% confidence interval for \(\mu_1 - \mu_2\), the difference in population mean litter size between Ontario and Finland.

b. Examine the confidence interval and explain what it means in the context of the problem. Does the interval consist of numbers that are all positive? all negative? (In other words, at the 85% 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?)

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*Note: Variables and symbols such as \(\bar{x}\), \(\mu\), and \(s\) represent sample means, population means, and standard deviations respectively.*
Transcribed Image Text:**Transcription for Educational Use** --- 3. A random sample of 17 wolf litters in Ontario gave an average of \(\bar{x}_1 = 4.9\) wolf pups per litter, with estimated sample standard deviation \(s_1 = 10\). Another random sample of 6 wolf litters in Finland gave an average of \(\bar{x}_2 = 2.8\) wolf pups per litter with sample standard deviation \(s_2 = 12\). a. Find an 85% confidence interval for \(\mu_1 - \mu_2\), the difference in population mean litter size between Ontario and Finland. b. Examine the confidence interval and explain what it means in the context of the problem. Does the interval consist of numbers that are all positive? all negative? (In other words, at the 85% 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?) --- *Note: Variables and symbols such as \(\bar{x}\), \(\mu\), and \(s\) represent sample means, population means, and standard deviations respectively.*
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