Shoulder Heights (in cm) of Male Bears Shoulder Heights (in cm) of Female Bears Key: 4|9 = 49 5 |0 6 7 8 7123 3 3 3 3 4 4 5 5 5 55 5 6 9 81223 3 4 5 9 |3 Key: 5 0 = 50 4 |9 57 68 9 71 1 2 2 222 3 3 3 4 4 5 5 6 6 7 8 8 812 3 4 4 5 67 9 9 003679 %3D %3D 10 2 11 | 4 - Exercises 1. Use the sample to find a point estimate for the mean shoulder height of 4. Use the sample to construct a 95% confidence interval for the mean shoulder height of all bears in the study. How do your results differ from those in Exercise 3? Explain. (a) male bears. (b) female bears. 2. Find the standard deviation of the sample of shoulder heights for the 5. A researcher wants to estimate the mean shoulder heights for both male and female bears within 0.5 centimeter. Determine the minimum sample size required to construct a 99% confidence interval for the population mean shoulder height of (a) male bears. (b) female bears. 3. Use the sample to construct a 95% confidence interval for the mean shoulder height of (a) male bears. Assume the population standard deviation is 12.4 centimeters. (a) male bears. (b) female bears. (b) female bears. Assume the population standard deviation is 7.8 centimeters.

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Appalachian Bear Rescue (ABR) is a not-for-profit organization located near the Great Smoky Mountains
National Park. ABR's programs include the rehabilitation of orphaned and injured black bears, as well as
research and education about Appalachian black bears. ABR provides the most natural environment possible
for rehabilitating black bears before their release back into the wild.
Recently, Katie Settlage performed a study to learn more about the Appalachian black bear population
in the Great Smoky Mountains National Park. She and a team of researchers found 68 black bears in the park
and took measurements such as paw size, weight, and shoulder height. The stem-and-leaf plots below show
the shoulder heights (in centimeters) of the 40 male and 28 female bears from the study.
Shoulder Heights (in cm) of Male Bears
Shoulder Heights (in cm) of Female Bears
4
9
Key: 4 9 = 49
Key: 5|0
= 50
5 7
8 9
71 1 2 2 2 2 2 3 3 3 4 4 5 5 6 6 788
8 123 4 4 5 6 79
90 0 3 6 79
7 8
1 2 3 3 3 33 4
6
7
555 5 5 69
81 2 2 3 3 4 5
93
10 2
11 | 4
- Exercises
4. Use the sample to construct a 95% confidence
interval for the mean shoulder height of all bears in
the study. How do your results differ from those in
Exercise 3? Explain.
1. Use the sample to find a point estimate for the mean
shoulder height of
(a) male bears.
(b) female bears.
2. Find the standard deviation of the sample of shoulder
5. A researcher wants to estimate the mean shoulder
heights for the
heights for both male and female bears within 0.5
centimeter. Determine the minimum sample size
required to construct a 99% confidence interval for
the population mean shoulder height of
(a) male bears.
(b) female bears.
3. Use the sample to construct a 95% confidence
interval for the mean shoulder height of
(a) male bears. Assume the population standard
(a) male bears.
(b) female bears.
deviation is 12.4 centimeters.
(b) female bears. Assume the population standard
deviation is 7.8 centimeters.
Transcribed Image Text:Appalachian Bear Rescue (ABR) is a not-for-profit organization located near the Great Smoky Mountains National Park. ABR's programs include the rehabilitation of orphaned and injured black bears, as well as research and education about Appalachian black bears. ABR provides the most natural environment possible for rehabilitating black bears before their release back into the wild. Recently, Katie Settlage performed a study to learn more about the Appalachian black bear population in the Great Smoky Mountains National Park. She and a team of researchers found 68 black bears in the park and took measurements such as paw size, weight, and shoulder height. The stem-and-leaf plots below show the shoulder heights (in centimeters) of the 40 male and 28 female bears from the study. Shoulder Heights (in cm) of Male Bears Shoulder Heights (in cm) of Female Bears 4 9 Key: 4 9 = 49 Key: 5|0 = 50 5 7 8 9 71 1 2 2 2 2 2 3 3 3 4 4 5 5 6 6 788 8 123 4 4 5 6 79 90 0 3 6 79 7 8 1 2 3 3 3 33 4 6 7 555 5 5 69 81 2 2 3 3 4 5 93 10 2 11 | 4 - Exercises 4. Use the sample to construct a 95% confidence interval for the mean shoulder height of all bears in the study. How do your results differ from those in Exercise 3? Explain. 1. Use the sample to find a point estimate for the mean shoulder height of (a) male bears. (b) female bears. 2. Find the standard deviation of the sample of shoulder 5. A researcher wants to estimate the mean shoulder heights for the heights for both male and female bears within 0.5 centimeter. Determine the minimum sample size required to construct a 99% confidence interval for the population mean shoulder height of (a) male bears. (b) female bears. 3. Use the sample to construct a 95% confidence interval for the mean shoulder height of (a) male bears. Assume the population standard (a) male bears. (b) female bears. deviation is 12.4 centimeters. (b) female bears. Assume the population standard deviation is 7.8 centimeters.
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