A random sample of 16 wolf litters in Ontario, Canada, gave an average of x1 = 4.6 wolf pups per litter with estimated sample standard deviation s1 = 1.1. Another random sample of 8 wolf litters in Finland gave an average of x2 = 2.8 wolf pups per litter with sample standard deviation s2 = 1.3. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some cases, this choice will increase the P-value by a small amount or increase the length of the confidence interval, thereby making the answer slightly more "conservative." (a) Find an 85% confidence interval for ?1 − ?2, the difference in population mean litter size between Ontario and Finland. (Round your answers to one decimal place.) lower limit wolf pups per litter upper limit wolf pups per litter (b) Test the claim that the average litter size of wolf pups in Ontario is greater than the average litter size of wolf pups in Finland. Use ? = 0.01. (i) What is the level of significance? What is the value of the sample test statistic? (Round your answer to three decimal places.) (iii) Find the P-value. (Round your answer to four decimal places.)
A random sample of 16 wolf litters in Ontario, Canada, gave an average of x1 = 4.6 wolf pups per litter with estimated sample standard deviation s1 = 1.1. Another random sample of 8 wolf litters in Finland gave an average of x2 = 2.8 wolf pups per litter with sample standard deviation s2 = 1.3. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some cases, this choice will increase the P-value by a small amount or increase the length of the confidence interval, thereby making the answer slightly more "conservative." (a) Find an 85% confidence interval for ?1 − ?2, the difference in population mean litter size between Ontario and Finland. (Round your answers to one decimal place.) lower limit wolf pups per litter upper limit wolf pups per litter (b) Test the claim that the average litter size of wolf pups in Ontario is greater than the average litter size of wolf pups in Finland. Use ? = 0.01. (i) What is the level of significance? What is the value of the sample test statistic? (Round your answer to three decimal places.) (iii) Find the P-value. (Round your answer to four decimal places.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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A random sample of 16 wolf litters in Ontario, Canada, gave an average of
x1
= 4.6 wolf pups per litter with estimated sample standard deviation s1 = 1.1. Another random sample of 8 wolf litters in Finland gave an average of
x2
= 2.8 wolf pups per litter with sample standard deviation s2 = 1.3. Note: For degrees of freedom d.f. not in the Student's t table, use the closest d.f. that is smaller. In some cases, this choice will increase the P-value by a small amount or increase the length of the confidence interval, thereby making the answer slightly more "conservative."
(a) Find an 85% confidence interval for ?1 − ?2, the difference in population mean litter size between Ontario and Finland. (Round your answers to one decimal place.)
| lower limit | wolf pups per litter | |
| upper limit | wolf pups per litter |
(b) Test the claim that the average litter size of wolf pups in Ontario is greater than the average litter size of wolf pups in Finland. Use ? = 0.01.
(i) What is the level of significance?
What is the value of the sample test statistic? (Round your answer to three decimal places.)
(iii) Find the P-value. (Round your answer to four decimal places.)
(iii) Find the P-value. (Round your answer to four decimal places.)
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