Weights of Bears: The health of the bear population in a certain area is monitored by periodic measurements taken from anesthetized bears. A sample of 54 bears has weights listed in the bear's data set in the data download. The Minitab worksheet is bear measurements. a. Assuming that o is known to be 121.8 lb., find a 95% confidence interval estimate of the mean of the population of all such bear weights. b. Find a 95% confidence interval estimate of the mean of the population of all such bear weights, assuming that the population standard deviation ơ is not known. c. Compare the results from parts (a) and (b).

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10. Weights of Bears: The health of the bear population in a certain area is monitored by
periodic measurements taken from anesthetized bears. A sample of 54 bears has
weights listed in the bear's data set in the data download. The Minitab worksheet is bear
measurements.
a. Assuming that ơ is known to be 121.8 lb., find a 95% confidence interval estimate of
the mean of the population of all such bear weights.
b. Find a 95% confidence interval estimate of the mean of the population of all such
bear weights, assuming that the population standard deviation ơ is not known.
c. Compare the results from parts (a) and (b).
11. Body Mass Index: Refer to Body measurements in the data download and use
the sample data. Construct a 95% confidence interval estimate of the standard
deviation of body mass indexes.
12. Using Summary Statistics: A study was conducted to estimate hospital costs for
accident victims who wore seat belts. Twenty randomly selected cases have a
stribution that appears to be bell-shaped with a mean of $9004 and a standard
deviation of $5629 (based on data from the U.S. Department of Transportation).
Construct the 95% confidence interval for the mean of all such costs.
Transcribed Image Text:10. Weights of Bears: The health of the bear population in a certain area is monitored by periodic measurements taken from anesthetized bears. A sample of 54 bears has weights listed in the bear's data set in the data download. The Minitab worksheet is bear measurements. a. Assuming that ơ is known to be 121.8 lb., find a 95% confidence interval estimate of the mean of the population of all such bear weights. b. Find a 95% confidence interval estimate of the mean of the population of all such bear weights, assuming that the population standard deviation ơ is not known. c. Compare the results from parts (a) and (b). 11. Body Mass Index: Refer to Body measurements in the data download and use the sample data. Construct a 95% confidence interval estimate of the standard deviation of body mass indexes. 12. Using Summary Statistics: A study was conducted to estimate hospital costs for accident victims who wore seat belts. Twenty randomly selected cases have a stribution that appears to be bell-shaped with a mean of $9004 and a standard deviation of $5629 (based on data from the U.S. Department of Transportation). Construct the 95% confidence interval for the mean of all such costs.
7. Mendelian Genetics: When Mendel conducted his famous genetics experiments with
peas, one sample of offspring consisted of 428 green peas and 152 yellow peas.
a. Use Minitab to find the following confidence interval estimates of the percentage of
yellow peas.
99.5% confidence interval:
99% confidence interval:
98% confidence interval:
95% confidence interval:
90% confidence interval:
b. After examining the pattern of the above confidence intervals, complete the
following statement. “As the degree of confidence decreases, the confidence interval
limits
c. In your own words, explain why the preceding completed statement makes sense
that is, why should the confidence intervals behave as you have described?
8. Misleading Survey Responses: In a survey of 1002 people, 701 said that they voted in
a recent presidential election (based on data from ICR Research Group). Voting records
show that 61% of eligible voters actually did vote. Find a 95% confidence interval
estimate of the proportion of people who say that they voted
9. Estimating Car Pollution: In a sample of seven cars, each car was tested for nitrogen-
oxide emissions (in grams per mile) and the following results were obtained: 0.06, 0.11,
0.16, 0.15, 0.14, 0.08, 0.15 (based on data from the Environmental Protection Agency).
Assuming that this sample is representative of the cars in use, construct a 95%
confidence interval estimate of the mean amount of nitrogen-oxide emission for all cars.
Transcribed Image Text:7. Mendelian Genetics: When Mendel conducted his famous genetics experiments with peas, one sample of offspring consisted of 428 green peas and 152 yellow peas. a. Use Minitab to find the following confidence interval estimates of the percentage of yellow peas. 99.5% confidence interval: 99% confidence interval: 98% confidence interval: 95% confidence interval: 90% confidence interval: b. After examining the pattern of the above confidence intervals, complete the following statement. “As the degree of confidence decreases, the confidence interval limits c. In your own words, explain why the preceding completed statement makes sense that is, why should the confidence intervals behave as you have described? 8. Misleading Survey Responses: In a survey of 1002 people, 701 said that they voted in a recent presidential election (based on data from ICR Research Group). Voting records show that 61% of eligible voters actually did vote. Find a 95% confidence interval estimate of the proportion of people who say that they voted 9. Estimating Car Pollution: In a sample of seven cars, each car was tested for nitrogen- oxide emissions (in grams per mile) and the following results were obtained: 0.06, 0.11, 0.16, 0.15, 0.14, 0.08, 0.15 (based on data from the Environmental Protection Agency). Assuming that this sample is representative of the cars in use, construct a 95% confidence interval estimate of the mean amount of nitrogen-oxide emission for all cars.
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