(a) How many of the 75% confidence intervals constructed from the 20 samples contain the population mean, µ= 100?(b) How many of the 90% confidence intervals constructed from the 20 samples contain the population mean, μ = 100?(c) Choose ALL that are true.O For some of the samples, the 75% confidence interval is included in the 90% confidence interval, while for othersamples, this is not the case.O It is surprising that some 75% confidence intervals are different from other 75% confidence intervals. They should allbe the same, as long as the samples are random samples from the same population.We would expect to find more 90% confidence intervals that contain the population mean than 75% confidenceintervals that contain the population mean. Given a sample, a higher confidence level results in a wider interval.Since Sample 19 and Sample 20 are drawn from the same population, the center of the 90% confidence interval forSample 19 must be the same as the center of the 90% confidence interval for Sample 20.None of the choices above are true. Suppose we are interested in studying a population to estimate its mean. The population is normal and has a standard deviation of o=5. We have taken arandom sample of size n = 10 from the population. This is Sample 1 in the table below. (In the table, Sample 1 is written "S1", Sample 2 is written "S2", etc.) Asshown in the table, the sample mean of Sample 1 is x = 100.3. Also shown are the lower and upper limits of the 75% confidence interval for the populationmean using this sample, as well as the lower and upper limits of the 90% confidence interval. Suppose that the true mean of the population is µ = 100, which isshown on the displays for the confidence intervals.Press the "Generate Samples" button to simulate taking 19 more random samples of size n=10 from this same population. (The 75% and 90% confidenceintervals for all of the samples are shown in the table and graphed.) Then complete parts (a) through (c) below the table.75% 75% 90% 90%lower upper lower upperlimit limit limit limit98.5 102.1 97.7 102.9S1 100.3S2 99.3 97.5 101.1 96.7101.9S3 101.1 99.3 102.9 98.5103.7S498.9 97.1 100.7 96.3 101.5101.3 96.9 102.1S5 99.597.7S6 97.0 95.2 98.8 94.4 99.6S7 100.8 99.0 102.6 98.2 103.4S897.896.0 99.6 95.2 100.4S9 98.9 97.1100.7 96.3 101.5|S10 101.1 99.3 102.9 98.5 103.7S11 97.8 96.0 99.6 95.2100.4S12 98.9 97.1100.7 96.3101.5103.8S13 101.2 99.4103.0 98.6S14 101.1 99.3 102.9 98.5 103.7S15 102.2| 100.4 104.0 99.6 104.8S16 99.9 98.1 101.7 97.3 102.5S17 99.1 97.3 100.9 96.5 101.7S18 101.1 99.3102.9 98.5 103.7S19 99.3 97.5101.1 96.7 101.9S20 100.6 98.8 102.4 98.0 103.2X94.075% confidence intervals106.0 94.090% confidence intervals106.0

From a particular population, 20 samples, S1, S2, …, S20 are taken, each of size n = 10, and the 75%…

Answered: a) How many of the 75% confidence…

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. A 90% confidence interval for p is given as (0.35,0.65). How large was the sample used to construct this interval?
5. In a pre-election poll, a pollster finds that 552 out of 1025 people polled favor Smith. Construct the 95% confidence interval for the proportion of people in the whole population who favor Smith.
Which of the following statement(s) about confidence intervals are correct? 1) There is no relationship between sample size and confidence interval's width 2) the smaller the sample size, the wider the confidence interval. 3) The higher the confidence level, The narrower the confidence interval. 4) The higher the confidence level, The wider the confidence interval. 5) The larger the sample size, The wider the confidence interval. 6) There is no relationship between confidence level and confidence interval's width.
Ten engineering schools in a country were surveyed. The sample contained 225electrical engineers, 80 being women; 175 chemical engineers, 40 being women. Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering. Is there a significant difference between the two proportions? Let p1 be the population proportion of electrical engineers that are women in the schools that were surveyed and let p2 be the population proportion of chemical engineers that are women in the schools that were surveyed. The 90% confidence interval is nothing<p1−p2<nothing. (Round to three decimal places as needed.)
Suppose a 95% confidence interval for the difference in test scores between Class 1 and Class 2 (in that order) is the following: 9 +/− 2. These results were based on independent samples of size 100 from each class. Now suppose you switch the order of Class 1 and Class 2 in your analysis but keep the data labeled correctly in terms of which class they came from. Which of the following statements is false? A) You can't do it this way. You'll get negative numbers for the difference in the means and/or negative numbers for the standard error. B) You are confident that the average for Class 2 is 7 to 11 points lower than for Class 1. C) You are still confident that the classes have significantly different mean scores. D) Your 95% confidence interval will now be entirely negative: from −7 to −11.
A random sample of 500 patients with diabetes were weighed before and after switching to a new drug and the change in their weight is computed for each patient. The resulting 90% confidence interval for the average change in the weight of diabetes patients is (1, 5) expressed in pounds. Which of the following can be the 95% confidence interval generated from the same data?
Suppose a new treatment for a certain disease is given to a sample of 180 patients. The treatment was successful for 153of the patients. Assume that these patients are representative of the population of individuals who have this disease. Calculate a 98% confidence interval for the proportion successfully treated. (Round the answers to three decimal places.)
Suppose you compute a confidence interval with a sample size of 37. What will happen to the confidence interval if the sample size increases to 70?
Which of the following is the BEST interpretation of the 97% one-sample confidence interval? If we consider all possible 97% one-sample confidence intervals arising from all possible samples of places in Florida, then 97% of those intervals should contain the average rainfall amount for all places in Florida. If we consider all possible 97% one-sample confidence intervals arising from all possible samples of size 12, then all of those intervals should contain the average rainfall amount for all places in Florida. If we consider all possible 97% one-sample confidence intervals arising from all possible samples of size 12, then 97% of those intervals should contain the average rainfall amount for all places in Florida. If we consider all possible places in Florida, then 97% of those places should have the average rainfall amount for Florida. If we consider all possible one-sample confidence intervals arising from all possible…
A graduate Statistic Student wants to estimate the true proportion of county college ("c.c.") students in here state who go on to receive an Associate Degree (AD ), She is able to take a random sample of n = 100 of those c.c. stuents, and 64 of those students received an AD. Find her 90% confidence interval for the true proportion of c.c. students in her state that receive an AD. Be sure to either i)Use full calculator syntax including proper label on your output or i)write down the formula, plug in the appropriate nun bers, and then give the calculated interval including a proper label. 1-prop-Z Int x: 64,n: 100, Clevel.90, interval (.56105,.71895 b. 1-prop-Z Int x: 64,n: 100, Clevel .90, interval (.66105,.71896 1-prop-Z Int x: 64,n: 100, Clevel .90, interval (.51105,.70950 1-prop-Z Int x: 64,n: 100, Clevel .90, interval (.61105,.81105 by C.
A professor sampled 46 students from a large university to obtain a 95% confidence interval for the proportion of students in favor of raising ASB fees. The interval was (0.356, 0.397). If the professor had used a 90% confidence interval instead, the confidence interval would have been ... A) Wider and would have a smaller chance of missing the true proportion. B) Narrower and would have a larger chance of missing the true proportion. C) Narrower and would have a smaller chance of missing the true proportion. D) Wider and would have a larger chance of missing the true proportion.

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