a) In Roosevelt National Forest, the rangers took random samples of live aspen trees and measured the base circumference of each tree. A sample of 116 trees had a mean circumference of 15.71 inches and a sample standard deviation of 4.63 inches. Find a 95% confidence interval for the mean circumference of all aspen trees in Roosevelt National Forest from this data.
b) Suppose a confidence interval constructed from this data was (14.945, 16,475) inches. What confidence level was used to produce this interval?
a) In Roosevelt National Forest, the rangers took random samples of live aspen trees and measured...
Many of the trees in a national forest suffer from a virus that attacks the bark of the tree. Trees with this virus should be removed in order to minimize the risk to nearby trees. To estimate the proportion of trees that have this virus, a random sample of 204 trees was selected. Each selected tree was inspected and it was found that 28% of the trees in the sample had the virus. A 95% confidence interval will be used...
1. Researchers measured the diameters of 22 trees in a central Amazon rain forest. They also used Carbon-dating to determine the age of each tree. After checking all relevant assumptions, they calculated a Pearson correlation coefficient ofr 0.67 for the age of the trees compared to their diameter Calculate the 95% confidence interval for the correlation coefficient for this population of trees. (3pt) a. Given your answer to part (a), is there a significant linear relationship between age and diameter...
Researchers measured the diameters of 22 trees in a central Amazon rain forest. They also used Carbon-dating to determine the age of each tree. After checking all relevant assumptions, they calculated a Pearson correlation coefficient of r = 0.67 for the age of the trees compared to their diameter. a. Calculate the 95% confidence interval for the correlation coefficient for this population of trees. (3pt) b. Given your answer to part (a), is there a significant linear relationship between age...
Question 4 Item 4 A civil engineer tested concrete samples to investigate the difference in strength, in newtons per square millimeter (N/mm2)(N/mm2), between concrete hardened for 21 days and concrete hardened for 28 days. The engineer measured the strength from each sample, calculated the difference in the mean strength between the samples, and then constructed the 95 percent confidence interval, (2.9,3.1)(2.9,3.1), for the difference in mean strengths. Assuming all conditions for inference were met, which of the following is a...
4 After a survey of 80 redwood trees in a national park, the average height is found to be 402 ft. with a standard deviation of 18 ft. What would be the margin of error for the mean at a 90% confidence level? (397, 407) (400, 404) PB (398, 406) (399, 405) End 5. A sample of 500 students at a university is surveyed. 63% are graduate students. What is the margin of error at a 99% confidence level? +...
Two different researchers measured the weight of two separate samples of ruby-throated hummingbirds form the same population. Each calculated a 95% confidence interval for the mean weight of these birds. Researcher 1 found the 95% confidence interval to be 3.02g < mu < 3.33g, while Researcher 2 found the interval to be 3.15g < mu < 3.62g. 1. What were the sample means for Researcher 1 and for Researcher 2? On what did you base your answer? Explain. 2. Which...
(4)Five hundred students from a local high school took a college entrance examination. Historical data from the school record show that the standard deviation of test scores is 40. A random sample of thirty- six students is taken from the entire population of 500 students. The mean test score for the sample is three hundred eighty. Find (a) 95% confidence interval for the unknown population mean test score. (b) 95% confidence interval for the unknown population mean test score if...
MY NOTES -/1 POINTS MENDSTAT15 7.5.012. Random samples of size n - were selected from a binomial population with p -0.2. Use the normal distribution to approximate the following probability. (Round your answer to four de P(p < 0 10) = You may need to use the appropriate appendix table or technology to answer this question. MY NOTES 5. -13 POINTS MENDSTAT15 8.3.010. Find the necessary confidence interval for a population mean y for the following values. (Round your answers...
In a study on infants, one of the characteristics measured was head circumference. The mean head circumference of 14 infants was 34.6 cm. Assuming that head circumferences for infants are normally distributed with standard deviation 2.1 cm, determine a 95% confidence interval for the mean head circumference of all infants. Step 1: Determine ??/2. Step 2: Determine the CI. Step 3: Interpret the CI. Obtain the margin of error, ?, for the CI you found in part (a). Determine the...
10. (12 pts) Your competitor widget maker took a random sample of 8 widgets and measured x. He got the values listed below. He is new in the business and has little knowledge of the value of population standard deviation of x. All he is going by are the 8 values he got below and an assumption that the xis distributed normally in the population: x 16.4 16.9 17.1 17.2 16.8 17.1 16.8 16.9 Compute the 95% confidence interval for...