7.With a previous contractor, the mean time to replace a streetlight was 3.2 days. A city councilwoman thinksthat the new contractor is not getting the streetlights replaced as quickly. She selects a random sample of 12 streetlightservice calls for the new contractor, and obtains the following times to replacement (days).6.27.15.45.57.52.64.32.93.70.75.61.7Using a significance level of 0.01, test the councilwoman's claim. You may assume that all conditions are satisfied.

Given:6.2, 7.1, 5.4, 5.5, 7.5, 2.6, 4.3, 2.9, 3.7, 0.7, 5.6, 1.7 The mean time to replace a…

Answered: 7. With a previous contractor, the mean…

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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1. A researcher plans to conduct a survey among students in a public high school. If the population of thisschool is 5,000, find the sample size and the percentage from the N population. (Margin of error is 5%)A = {9,10,11,7,13}B = {10,10,10,10,10}C = {1,1,10,19,19}a. Calculate the mean of each data set.b. Calculate the standard deviation of each data set.c. Which set has the largest standard deviation?
About 4% of the population has a particular genetic mutation. 300 people are randomly selected.Find the mean for the number of people with the genetic mutation in such groups of 300. (Remember that means should be rounded to one more decimal place than the raw data.)
Consider the following frequency distribution: Score Freq 7,18,6,77,5,20,4,7,3,3,2,1,1,3 ScoreFrequency: 7,18,6,77,5,20,4,7,3,3,2,1,1,3 a. What was the sample size? b. What percent of participants had a score of 4? c. What is the percentile rank for a score of 5? d. What is the score corresponding to the 80th percentile?
The mean number of sick days an employee takes per year is believed to be about 10.5. Members of a personnel department do not believe this figure. They randomly survey ten employees. The number of sick days they took for the past year are as follows: 12; 4; 15; 3; 11; 8; 6; 8; 2; 9. Let x = the number of sick days they took for the past year. Should the personnel team believe that the mean number is ten?
5t. A magazine reports that women trust recommendations from a particular social networking site more than recommendations from any other social network platform. But does trust in this social networking site differ by gender? The following sample data show the number of women and men who stated in a recent sample that they trust recommendations made on this particular social networking site. Women Men Sample 150 170 Trust RecommendationsMade on the social networking site 111 102 (a) What is the point estimate of the proportion of women who trust recommendations made on this particular social networking site? (b) What is the point estimate of the proportion of men who trust recommendations made on this particular social networking site? (c) Provide a 95% confidence interval estimate of the difference between the proportion of women and men who trust recommendations made on this particular social networking site. (Round your answers to four decimal places.)
9. Find the first quartile and the third quartile for the following data: 2:1, 2.1, 2.2, 2.4, 2.5, 2.5, 2.5, 2.5, 2.6, 2.6, 2.6, 2.7, 2.7, 2.7, 2.8, 2.9, 3.0, 3.0, 3.2, 3.2, 3.3, 3.3, 3.5, 3.6, 4.0. 7.3 Thisd Bie 25/0 2.5 3.2
13. Dave likes to grow cucumbers, and each year he experiments with ways to improve his crop. This summer, he wants to determine whether the new fertilizer he has seen advertised will increase the mean number of cucumbers produced per plant. He uses the old fertilizer on 15 cucumber plants and the new fertilizer on the other 13 plants. Over the course of the growing season, he calculates a mean of 17.4 cucumbers per plant for the old fertilizer, with a standard deviation of 2.0 cucumbers. He calculates a mean of 21.6 cucumbers per plant for the new fertilizer, with a standard deviation of 2.7 cucumbers. You may assume that both samples came from populations that are approximately normal. Assume that the population variances are not equal. a. Determine the best point estimate for the true mean difference in cucumber production. Correct notation counts. b. Construct a 95% confidence interval for the true mean difference in cucumber production. For credit, your work must include a…

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