3.For students enrolled at the University of Missouri we have collected data from a randomlyselected sample of n-1,000 selected from a population of N= 28,000 students enrolled. Ourrespondents were asked to rate their personal political ideology on a 10 point scale from 1- mostliberal to 10 = most conservative. Our sample yields a mean political ideology score of 3.9 with astandard deviation = 1.7.Calculate and report the 95% confidence interval for the population's mean basedon our sample's characteristics.b. Comment on the weaknesses of the research design alluded to in 3 [a] above.Calculate the sample size which I would need in order to estimate the distribution ofpolitical ideology for the population deseribed in 3 above to within +/- 3.5% at the99% confidence level.a.c.

Given- Sample Size = n = 1000 Population Size = N = 28000 Sample Mean =x =…

Answered: 3. For students enrolled at the…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The president of an all-female school wants to know if the students at her school studied more or less, on average, than the students at a neighboring all-male school. To find out, she conducted a study. Accordingly, samples were taken at each school with the following results: All female: sample size = 43, mean study time ( hours) = 18.56, standard deviation (hours) = 4.35 All male: sample size = 38, mean study time (hours) =17.95, standard deviation (hours) = 4.87 Calculate the 95% confidence interval for the differences between population means. Use brackets write the final answer [x.xx, x.xx]
6. You randomly select and weigh 27 samples of an allergy medication. The sample standard deviation is 1.22 milligrams. Assuming the weights are normally distributed, construct 90% confidence intervals for the population variance and standard deviation. Please interpret your result.
4. on paper. random sample of 130 human body temperatures had a mean 98.25 degree and astandard deviation of 0.73 degree. Construct a 99% confidence interval for the average body temperature ofhealthy people.
For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 22 students, and the distribution of total study hours per week is bell-shaped with a mean of 12 hours and a standard deviation of 2.6 hours. Use the Empirical Rule to answer the following questions. a) 68% of the students spend between hours and hours on Statistics each week. b) 95% of the students spend between hours and hours on Statistics each week. c) 99.7% of the students spend between hours and hours on Statistics each week. Check Answer 100% 69°F Cloudy
4. A fire extinguisher salesman would like to estimate the mean number of home fires started by candles each year. He obtained fire data for seven randomly selected years from the National Fire Protection Agency. His sample produced a mean of 7041 fires with a standard deviation of 1600. Create the 90% confidence interval of interest.
27. In a random sample of six mobile devices, the mean repair cost was $65.00 and the standard deviation was $14.00. Assume the population is normally distributed and use a t-distribution to find the margin of error and construct a 90% confidence interval for the population mean. Interpret the results.
14.) A researcher would like to estimate the mean weight of all adult female American alligators in the Everglades. The mean weight of a random sample of 146 adult female American alligators from the Everglades was found to be 217 pounds. The standard deviation of the weights of all adult female American alligators in the Everglades is known to be 16 pounds.Using a 96% confidence level, determine the margin of error, EE, and a confidence interval for the mean weight of all adult female American alligators in the Everglades. Report the confidence interval using interval notation. Round solutions to two decimal places, if necessary.The margin of error is given by E= ___A 96% confidence interval is given by ___
2. There was a sample of 14 adult wild mountain lions who were caught and released in the San Andres Mountains. The average weight of the sample was 82.55 pounds with a sample standard deviation of 13.45 pounds. Find a 95% confidence interval for the population mean weight of all the wild mountain lions in the San Andres Mountains.
A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study examined the scores of a random sample of 190 graduating seniors and found the mean score to be 520 with a standard deviation of 87. Determine a 95% confidence interval for the mean, rounding all values to the nearest tenth.
6. In Roosevelt National Forest, the rangers took random samples of live a) aspen trees and measured the base circumference of each tree. A sample of 36 trees had a mean circumference of 15.71 inches and a population standard deviation of 4.63 inches. Find a 98% confidence interval for the mean circumference of all aspen trees in Roosevelt National Forest from this data. b) 16.475) inches. What confidence level was used to produce this interval? Suppose a confidence interval constructed from this data was (14.945,
For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 30 students, and the distribution of total study hours per week is bell-shaped with a mean of 14 hours and a standard deviation of 2.7 hours. Use the Empirical Rule to answer the following questions. a) 68% of the students spend between hours and hours on Statistics each week. b) 95% of the students spend between hours and hours on Statistics each week. c) 99.7% of the students spend between hours and hours on Statistics each week.

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