A random sample of 325 bolts from machine A contained 22 defective bolts, while an independently chosen, random sample of 200 bolts from machine Bcontained 22 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 thepopulation of all bolts from machine B that are defective. Find a 95% confidence interval for P₁-P₂. Then find the lower limit and upper limit of the 95%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 offormulas.)Lower limit:1XSUpper limit:

Answered: Image /qna-images/answer/3db1d0e4-9c62-447e-83c2-f9678158ef63.jpg

Answered: A random sample of 325 bolts from…

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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3) Examine your t-test score in the paired samples t-test table. Is the p value significant? State in one to two sentences whether the test was significant and interpret this result.
A random sample of 388 married couples found that 284 had two or more personality preferences in common. In another random sample of 560 married couples, it was found that only 24 had no preferences in common. Let p₁ be the population proportion of all married couples who have two or more personality preferences in common. Let p₂ be the population proportion of all married couples who have no personality preferences in common. USE SALT (a) Find a 90% confidence interval for P₁ P₂. (Use 3 decimal places.) lower limit upper limit (b) Explain the meaning of the confidence interval in part (a) in the context of this problem. Does the confidence interval contain all positive, all negative, or both positive and negative numbers? What does this tell you (at the 90% confidence level) about the proportion of married couples with two or more personality preferences in common compared with the proportion of married couples sharing no personality preferences in common? O We can not make any…
A nutritionist took a random sample of 60 college students at Harvard and made a 95% confidence interval for the average calories consumed in a day. The interval that the researcher obtained was 2350 to 2620. A) about 95% of the population of students at Harvard is between 2350 and 2620, true or false? B) if the nutritionist had taken a sample of 100 college students. Would the 95% confidence interval with n= 100 be wider or narrower than the 95% confidence interval with n= 60 students?
A college administrator collects data on a nationwide random sample of 382 students enrolled in M.B.A. programs and finds that 101 of these students have undergraduate degrees in business. Find the lower confidence limit of the 99% confidence interval for the proportion of such students in the nationwide population who have undergraduate degrees in business
A sample of 153 was selected from a large population. 69% of the sample had a characteristic of interest. Calculate a 99% confidence interval estimate for the proportion of the population with the characteristic.
A random survey found that 220 out of 300 adults living in large cities (with populations of more than 1 million) wanted more state funding for public transportation. In small cities (with populations fewer than 100,000), 120 out 300 adults surveyed wanted more state funding. Call the population of adults living in large cities "Population 1" and the population of adults living in small cities "Population 2" while working these problems. With a 90% confidence level, what is the confidence interval for the difference in the population proportions? Give your answer to four decimal places.
The average height of all male students in ENG2015 in section A is 5 feet and 9 inches (or 175.26 centimeters). A sample of 18 male is selected, and their heights (in centimeters) are in the table below. Develop a 95% confidence interval to estimate the population mean.
A sample of 164 was selected from a large population. 66% of the sample had a characteristic of interest. Calculate a 90% confidence interval estimate for the proportion of the population with the characteristic.
A statistical study is made to compare the % of smokers in small rural towns to the overall smoking rate of the US. Of 1500 asults selected randomly from small towns it is found that 285 of them smoke. With a cofidence interval of (017, 0.21). The CDC reports that 15.1% of all American adults smoke. Does the confidence interval suggest that smoking rate is higher in small towns than in the country overall?
A new drug is being compared with a standard drug for treating a particular illness. In the clinical trials, a group of 200 patients was randomly split into two groups, with one group being given the standard drug and one group the new drug. Altogether, 83 out of the 100 patients given the new drug improved their condition, while only 72 out of the 100 patients given the standard drug improved their condition. Construct a one-sided confidence interval and calculate a one-sided p-value to investigate the evidence that the new drug is better than the standard drug.
Jelly beans are packed in boxes of 50, and the overall proportion of black jelly beans is set by the manufacturer to be 0.2. Suppose that 10 boxes of jelly beans are selected at random, and the proportion of black jelly beans in each box determined. a Use your calculator to generate 10 values of the sample proportidn p of black jelly beans in a box. b Use your calculator to find an approximate 80% confidence interval for the population proportion p from each of these values of the sample proportion p. c How many of these intervals contain the value of the population proportion p? d How many of these intervals would you expect to contain the value of the population proportion p? e Suppose that we generate 50 approximate 80% confidence intervals for p. How many of these intervals would you expect to contain the value of the population proportion p?
A random sample of 375 bolts from machine A contained 26 defective bolts, while an independently chosen, random sample of 300 bolts from machine B contained 33 defective bolts. Let p, be the proportion of the population of all bolts from machine A that are defective, and let p, be the proportion of the population of all bolts from machine B that are defective. Find a 90% confidence interval for p, -p,. 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.) Lower limit: Upper limit:

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