A random sample of students' results (in %) selected from two universities are as follow:University 1 University 2n = 56n2 = 43X = 60Xz = 57S1 = 23S2 = 19a) Construct and explain a 99% confidence interval for the difference between the population mean for the twouniversities.b) Find the length of the confidence interval.c) Is there a significant difference in the two population means, considering the confidence interval found in a)? (

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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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In an engineering class, students want to determine the difference in the mean strength between two different types of building materials—Type A, which is relatively inexpensive, and Type B, which is slightly more expensive. The students take a random sample of 60 of the Type A building material and a random sample of 27 of the Type B building material. Given the mean strength for each sample, the students construct a 95% confidence interval for the difference in population means. (a) Determine the degrees of freedom for the conservative approach for finding the t critical value. (b) Find the t critical value associated with 95% confidence. (Use a table or SALT. Round your answer to two decimal places.)
A random sample of n1 = 213 people who live in a city were selected and 80 identified as a "dog person." A random sample of n2 = 98 people who live in a rural area were selected and 61 identified as a "dog person." Find the 90% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area who identify as a "dog person." Round answers to to 4 decimal places. Рі — Р2
A random sample of n₁ = 224 people who live in a city were selected and 90 identified as a "dog person." A random sample of n₂ = 95 people who live in a rural area were selected and 61 identified as a "dog person." Find the 95% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area who identify as a "dog person." Round answers to to 4 decimal places. P1 P2
A random sample of n₁ = 269 people who live in a city were selected and 88 identified as a "dog person." A random sample of n2 = 90 people who live in a rural area were selected and 70 identified as a "dog person." Find the 99% confidence interval for the difference in the proportion of people that live in a city who identify as a "dog person" and the proportion of people that live in a rural area who identify as a "dog person." Round answers to to 4 decimal places. < P1 P2 <
A random sample of 180 men indicated that 50 were smokers, and a random sample of 150 women surveyed indicated that 39 smoked. Construct a 98% confidence interval for the true difference in proportions of male and female smokers.
IS An insurance company collects data on seat-belt use among drivers in a country. Of 1100 drivers 20-29 years old, 24% said that they buckle up, whereas 341 of 1200 drivers 45-64 years old said that they did. Find a 95% confidence interval for the difference between the proportions of seat-belt users for drivers in the age groups 20-29 years and 45-64 years. Construct a 95% confidence interval. The 95% confidence interval for p, -p, is from to . SC (Round to three decimal places as needed.)
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.
3) Find only the margin of error to construct a 98% confidence interval for p1 - P2. Assume the samples are random and independent. Do not construct a confidence interval. Sample statistics: n₁ = 1000, x1 = 250, and n2 = 1200, x2 = 195

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