Lower limit:Upper limit:CheckX14An ecologist randomly samples 13 plants of a specific species and measures their heights. He finds that this sample has a mean of 16 cm and a standarddeviation of 4 cm. If we assume that the height measurements are normally distributed, find a 99% confidence interval for the mean height of all plants of thisspecies. Give the lower limit and upper limit of the 99% confidence interval.Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.)SFU1617Save For LaterSubmit A

The sample size is 13, the sample mean is 16 and sample standard deviation is 4.

Answered: An ecologist randomly samples 13 plants…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let p1 and p2 be the respective proportions of women with nutritional anemia in each of two developing countries. If a random sample of 300 women from the first country yielded 105 women with nutritional anemia, and an independently chosen, random sample of 325 women from the second country yielded 78 women with nutritional anemia, find a 90% confidence interval for −p1p2. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. (If necessary, consult a list of formulas. a.) Lower Limit is: b.) Upper Limit is:
(a) A random sample of elementary school children in New York state is to be selected to estimate the proportion p who have received a medical examination during the past year. The survey found that x = 468 children were examined during the past year. Construct the 95% confidence interval estimate of the population proportion p if the sample size was n = 600. Give your confidence interval bounds to at least 4 decimal places. __________ < p < _________.
An ecologist randomly samples 20 plants of a specific species and measures their heights. He finds that this sample has a mean of 17 cm and a standard deviation of 4 cm. If we assume that the height measurements are normally distributed, find a 90% confidence interval for the mean height of all plants of this species. Then find the lower limit and upper limit of the 90% confidence interval.
When obtaining a confidence interval for a population mean in the case of a finite population of size N and a sample size n which is greater than 0.05N, the margin of error is multiplied by the following finite population correction factor: Find the 95% confidence interval for the mean of 200 weights if a sample of 39 of those weights yields a mean of 146.7 lb and a standard deviation of 26.8 lb.
A statistical research yields to the sample proportion of a certain feature in a certain community be 0.43. Find the required sample size for a maximum margin of error of 0.06 for a 90% confidence interval.
An ecologist randomly samples 11 plants of a specific species and measures their heights. He finds that this sample has a mean of 17 cm and a standard deviation of 2 cm. If we assume that the height measurements are normally distributed, find a 90% confidence interval for the mean height of all plants of this species. Give the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. Lower Limit___ Upper Limit___
A marketing representative wants to estimate the proportion of people in a state who like the new design on the packaging of a certain cleaning product. The representative interviewed 100 people at a certain supermarket, and 82 people indicated that they liked the new design. Have the conditions for creating a confidence interval for the population proportion been met? Yes, because the sample was selected at random. A Yes, because sampling distributions of population proportions are modeled with a normal model. B Yes, because the sample is large enough to satisfy the normality conditions. C No, because the sample is not large enough to satisfy the normality conditions. D No, because the sample may not be representative of all people in the state.
An ecologist randomly samples 16 plants of a specific species and measures their heights. He finds that this sample has a mean of 18 cm and a standard deviation of 3 cm. If we assume that the height measurements are normally distributed, find a 90% confidence interval for the mean height of all plants of this species. Then find the lower limit and upper limit of the 90%confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. Lower limit: Upper limit:
A random sample of 375 bolts from machine A contained 30 defective bolts, while an independently chosen, random sample of 300 bolts from machine B contained 27 defective bolts. Let p1 be the proportion of the population of all bolts from machine A that are defective, and let p2 be the proportion of the population of all bolts from machine B that are defective. Find a 99% confidence interval for p1-p2. Then find the lower limit and upper limit of the 99% confidence interval.Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places.
From a large number of actuarial exam scores, a random sample of 200 scores is selected, and it is found that 148 of these 200 are passing scores. Based on this sample, find a 90% confidence interval for the proportion of all scores that are passing. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places. What is the lower limit of the 90% confidence interval? What is the upper limit of the 90% confidence interval?
#18. To estimate the percentage of a species of rodent that carries a specific viral infection, 200 rodents are randomly selected and examined, and 106 of them are found to be infected. Based upon this find a 95% confidence interval for the proportion of all rodents of this species that are infected with the virus. Then find a lower and upper limit of the 95% confidence interval. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places and round your answers to two decimal place. Lower limit: Upper limit:
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x̄, is found to be 19.2, and the sample standard deviation, s, is found to be 4.1. (a) Construct a 90% confidence interval about μ if the sample size, n, is 40. Lower bound: _________ Upper bound: ____________ (Round to two decimal places as needed) (b) Construct a 90% confidence interval about μ if the sample size, n, is 60. How does increasing the sample size affect the margin of error, E? (c) Construct a 95% confidence interval about μ if the sample size, n, is 40. How does increasing the level of confidence affect the size of the margin of error, E? (d) If the sample size is 14, what conditions must be satisfied to compute the confidence interval?

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