pls ans 1. State the following:(a) Determine the value of a if the confidence interval is 99% required.(b) Find the percentage of confidence interval if a= 0.05.(c) Recognize the (i) standard error, (ii) lower confidence limit and (iii) upper confidencelimit, for the interval ī – 1.645 (9 < u

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Answered: 1. State the following: (a) Determine…

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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6. Suppose the population standard deviation for IQ scores is 15 points. What sample size would be required to ensure that the width of your 95% confidence interval for the mean IQ score would have a width of no more than 4 points?
In a study, Group 1 was found to have an average of 53 and a population standard deviation of 13 out of a random sample of 25. Group 2 was found to have an average of 42 and a population standard deviation of 9 out of a random sample of 16. With a 99% confidence interval, what is the smaller value?
2. A marketing research company desires to know the mean consumption of milk per week among males over age 27. They believe that the milk consumption has a mean of 3.3 liters and want to construct a 80% confidence interval with a maximum error of 0.08 liters. Assuming a standard deviation of 0.9 liters, what is the minimum number of males over age 27 they must include in their sample? Round your answer up to the next integer.
3.Michael wants to make a confidence interval estimate for the proportion of community members in favor of a tax increase for more local school funding. If he wants the margin of error to be no more than 0.025 at a 90% confidence level, a)What is the required sample size required to obtain the desired margin of error
4. The EPA wants to test a randomly selected sample of n water specimens and estimate the mean daily rate of pollution produced by a mining operation. If the EPA wants a 95% confidence interval with a bound of error of 2 milligram per liter (mg/L), how many water specimens are required in the sample? Assume prior knowledge indicates that pollution readings in water samples taken during a day have been approximately normally distributed with a standard deviation of 5.3 (mg/L). n=
Come up with your own data for a problem that would ask for a 90% confidence interval utilizing Z. Clearly label your variables.
A 90 percent confidence interval is to be created to estimate the proportion of television viewers in a certain areawho favor moving the broadcast of the late weeknight news to an hour earlier than it is currently. Initially, theconfidence interval will be created using a simple random sample of 9,000 viewers in the area. Assuming that thesample proportion does not change, what would be the relationship between the width of the original confidenceinterval and the width of a second 90 percent confidence interval that is created based on a sample of only 1,000viewers in the area?(A) The second confidence interval would be 9 times as wide as the original confidence interval.(B) The second confidence interval would be 3 times as wide as the original confidence interval.(C) The width of the second confidence interval would be equal to the width of the original confidence interval.(D) The second confidence interval would be 1/3 as wide as the original confidence interval.(E) The second…
A sociologist is interested in surveying workers in computer-related jobs to estimate the proportion of such workers who have changed jobs within the past year. a) In the absence of preliminary data, how large a sample must be taken to ensure that a 95% confidence interval will specify the proportion to within ±0.05? b) In a sample of 100 workers, 20 of them had changed jobs within the past year. Find a 95% confidence interval for the proportion of workers who have changed jobs within the past year. c) Based on the data in part (b), estimate the sample size needed so that the 95% confidence interval will specify the proportion to within ±0.05.
If we want a 96% confidence interval on population mean with a sample size of 23, find zα2 or tα2
3.) How big of a sample would be needed to get a confidence interval for the mean distance commuted by the population of all commuters with a margin of error of 2 miles, and a confidence level of 99%, if the population standard deviation is 3 miles, as above?
In a study of parasite–host relationships, 242 larvaeof the moth Ephestia were exposed to parasitization by the Ichneumon fly. The following table shows the number of Ichneumon eggs found in each of the Ephestia larva. For these data, yQ = 2.368 and s = 1.950. Student’s tmethod yields the following 95% confidence interval form, the population mean number of eggs per larva: 2.12 < μ < 2.61 (a) Does it appear reasonable to assume that thepopulation distribution of Y is approximately normal?Explain.(b) In view of your answer to part (a), on what groundscan you defend the application of Student’s t methodto these data?
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