Observations of the speed of cars at a certain site on a highway yielded the following 95%confidence interval for the average speed u: 60 ± 5 miles per hour. What is the correctinterpretation (meaning) of this confidence interval statement?O 95% of all cars on this highway site have a speed between 55 and 65O We are 95% confident that the average speed of all cars on this highway site is betwcen 55 and 6595% of all cars on this highway segment have a speed between 50 and 70The mean speed of all cars on this highway site is between 55 and 65

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Answered: Observations of the speed of cars at a…

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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A random sample of 10 regions in New England gave the following violent crime rates (per million population):3.5 3.7 4.0 3.9 3.3 4.1 1.8 4.8 2.9 3.1Another random sample of 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population):3.7 4.6 4.5 5.3 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8Find the 85% confidence interval for the difference between the average violent crime rate in New England states and the average violent crime rate in Rocky Mountain states. State your interpretation and conclusion.
Consider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1 = 400 n2= 200 p1= 0.46 p2= 0.34 a. What is the point estimate of the difference between the two population proportions (to 2 decimals)? b. Develop a 90% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table. to c. Develop a 95% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table. to
On the Navajo Reservation, a random sample of 216 permanent dwellings in the Fort Defiance region showed that 60 were traditional Navajo hogans. In the Indian Wells region, a random sample of 137 permanent dwellings showed that 22 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let p2 be the population proportion of all traditional hogans in the Indian Wells region. (a) Find a 90% confidence interval for p1 − p2. (Round your answer to three decimal places.)
On the Navajo Reservation, a random sample of 230 permanent dwellings in the Fort Defiance region showed that 68 were traditional Navajo hogans. In the Indian Wells region, a random sample of 139 permanent dwellings showed that 21 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let p2 be the population proportion of all traditional hogans in the Indian Wells region. (a) Find a 95% confidence interval for p1 − p2. (Round your answer to three decimal places.) lower limit upper limit
On the Navajo Reservation, a random sample of 230 permanent dwellings in the Fort Defiance region showed that 68 were traditional Navajo hogans. In the Indian Wells region, a random sample of 139 permanent dwellings showed that 21 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let p2 be the population proportion of all traditional hogans in the Indian Wells region. (a) Find a 95% confidence interval for p1 − p2. (Round your answer to three decimal places.) lower limit upper limit (b) Examine the confidence interval and comment on its meaning. Does it include numbers that are all positive? all negative? mixed? What if it is hypothesized that Navajo who follow the traditional culture of their people tend to occupy hogans? Comment on the confidence interval for p1 − p2 in this context. Because the interval contains both positive and negative numbers, we can not say that there is a higher proportion…
The research group asked the following question of individuals who earned in excess of $100,000 per year and those who earned less than $100,000 per year: "Do you believe that it is morally wrong for unwed women to have children?" Of the 1 comma 205 individuals who earned in excess of $100,000 per year, 710 said yes; of the 1 comma 310 individuals who earned less than $100,000 per year, 695 said yes. Construct a 95% confidence interval to determine if there is a difference in the proportion of individuals who believe it is morally wrong for unwed women to have children. The lower bound is nothing
On the Navajo Reservation, a random sample of 228 permanent dwellings in the Fort Defiance region showed that 54were traditional Navajo hogans. In the Indian Wells region, a random sample of 143 permanent dwellings showed that 18 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let p2 be the population proportion of all traditional hogans in the Indian Wells region. (a) Find a 90% confidence interval for p1 − p2. (Round your answer to three decimal places.) lower limit upper limit (b) Examine the confidence interval and comment on its meaning. Does it include numbers that are all positive? all negative? mixed? What if it is hypothesized that Navajo who follow the traditional culture of their people tend to occupy hogans? Comment on the confidence interval for p1 − p2 in this context. Because the interval contains only positive numbers, we can say that there is a higher proportion of hogans in the…
During a laboratory analysis of human blood composition, tests are repeated and are known to be normally distributed. Fifteen tests on a given sample of blood yielded the following values1.003 1.01 1.03 1.045 1.0061.024 1.019 1.009 1.014 1.0211.031 1.08 1.058 1.012 1.001 Calculate the 98% confidence interval for true composition of the blood in repeated tests of the sample.b) Data on investments in the high-tech industry by venture capitalists are compiled by VentureOne Corporation. A random sample of 16 venture capital investments in the fiber optics business sector yielded the following data, in millions of dollars. 5.60 6.27 5.96 10.51 2.04 5.48 5.74 5.588.63 5.95 6.67 4.21 7.71 9.21 4.98 8.64 Determine a 99% confidence interval for the mean amount, μ, of all venture-capital investments in the fiber optics business sector. Assume that the population standard deviation is $1.98 million.
An online site presented this question, "Would the recent norovirus outbreak deter you from taking a cruise?" Among the 34 comma 43234,432 people who responded, 6868% answered "yes." Use the sample data to construct a 9090% confidence interval estimate for the proportion of the population of all people who would respond "yes" to that question. Does the confidence interval provide a good estimate of the population proportion?
The research group asked the following question of individuals who earned in excess of $100,000 per year and those who earned less than $100,000 per year: "Do you believe that it is morally wrong for unwed women to have children?" Of the 1,205 individuals who earned in excess of $100,000 per year, 712 said yes; of the 1,310 individuals who earned less than $100,000 per year, 693 said yes. Construct a 95% confidence interval to determine if there is a difference in the proportion of individuals who believe it is morally wrong for unwed women to have children.The lower bound is _______The upper bound is________. (Round to three decimal places as needed.)
On the Navajo Reservation, a random sample of 210 permanent dwellings in the Fort Defiance region showed that 63 were traditional Navajo hogans. In the Indian Wells region, a random sample of 152 permanent dwellings showed that 22 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let p2 be the population proportion of all traditional hogans in the Indian Wells region. (a) Find a 99% confidence interval for p1 – p2. (Round your answers to three decimal places.) lower limit upper limit (b) Examine the confidence interval and comment on its meaning. Does it include numbers that are all positive? all negative? mixed? What if it is hypothesized that Navajo who follow the traditional culture of their people tend to occupy hogans? Comment on the confidence interval for p1 – p2 in this context. Because the interval contains only positive numbers, we can say that there is a higher proportion of hogans in the Fort…
The average total dollar purchase at a convenience store is less than that at a supermarket. Despite smaller-ticket purchases, convenience stores can still be profitable because of the size of operation, volume of business, and the markup. A researcher is interested in estimating the average purchase amount for convenience stores in suburban Long Island. To do so, she randomly sampled 24 purchases from several convenience stores in suburban Long Island and tabulated the amounts to the nearest dollar. Use the following data to construct a 90% confidence interval for the population average amount of purchases. Assume that the population standard deviation is 3.23 and the population is normally distributed. $2 $11 $8 $7 $9 $3 5 4 2 1 10 8 14 7 6 3 7 2 4 1 3 6 8 4

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