David E. Brown is an expert in wildlife conservation. In his book The Wolf in the Southwest: The Making of an Endangered Species (University of Arizona Press), he records the following weights of adult grey wolves from two regions in Old Mexico. Chihuahua region: x1 variable in pounds 86 75 91 70 79 80 68 71 74 64 Durango region: x2 variable in pounds 68 72 79 68 77 89 62 55 68 68 59 63 66 58 54 71 59 67 (b) Let μ1 be the mean weight of the population of all grey wolves in the Chihuahua region. Let μ2 be the mean weight of the population of all grey wolves in the Durango region. Find an 80% confidence interval for μ1 – μ2. (Round your answers to two decimal places.)
Added by Karen F.
Step 1
- For Chihuahua region (x1): Add all the weights and divide by the number of wolves. Mean (μ1) = (86 + 75 + 91 + 70 + 79 + 80 + 68 + 71 + 74 + 64) / 10 = 758 / 10 = 75.8 pounds. - For Durango region (x2): Add all the weights and divide by the number of Show more…
Show all steps
Close
Your feedback will help us improve your experience
Tim Thornhill and 69 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
David E. Brown is an expert in wildlife conservation. In his book The Wolf in the Southwest: The Making of an Endangered Species (University of Arizona Press), he records the following weights of adult grey wolves from two regions in Old Mexico. Chihuahua region: x1 variable in pounds 86 75 91 70 79 80 68 71 74 64 Durango region: x2 variable in pounds 68 72 79 68 77 89 62 55 68 68 59 63 66 58 54 71 59 67 (a) Use a calculator with mean and standard deviation keys to calculate x1, s1, x2, and s2. (Round your answers to four decimal places.) (b) Let 𝜇1 be the mean weight of the population of all grey wolves in the Chihuahua region. Let 𝜇2 be the mean weight of the population of all grey wolves in the Durango region. Find an 80% confidence interval for 𝜇1 – 𝜇2. (Round your answers to two decimal places.) (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 80% level of confidence, what can you say about the comparison of the average weight of grey wolves in the Chihuahua region with the average weight of grey wolves in the Durango region?
Ivan K.
71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 0.0529 0.0449 0.0437 0.0384 0.0400 0.0397 0.0486 0.0296 0.0548 0.0407 0.0552 0.0412 0.0425 0.0371 0.0590 0.0398 0.0600 0.0589 0.0496 0.0509 0.0427 0.0481 0.0512 0.0504 0.0467 0.0253 0.0195 0.0471 0.0464 0.0529
Sri K.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD