COLUMBAN COLLEGE INC., OLONGAPO CITYSENIOR HIGH SCHOOL- BASIC EDUCATION DEPARTMENT ASINANLEARNER'S MODULEE the StudentSection:have training courses is 555 with standard deviation of 139. Brain Philippine (BP) offersexpensive GRE training courses, claiming their graduates score better than those whohave not taken any training courses. To test the company's claim, a statisticianrandomly selected 30 graduates of BP and asked their GRE scores. They recorded amean score of 560 in GRE. Is the company's claim true, using a 95% confidence level?In building an arena, steel bars with a mean ultimate tensile strength of 400 Megapascal(MPa) with a variance of 81 MPa were delivered by the manufacturer. The projectengineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390MPa. The decision for the extension of the contract with the manufacturer depends onthe engineer. Test the hypothesis whether there is no significant difference between thetwo means using a two – tailed with a = 0.01. Step 5: Sincez

Given Population mean μ=555, n=sample size=30, sample mean x̄=560, level of significance ɑ=0.05

Answered: have training courses is 555 with…

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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According to a study of 90 truckers, a trucker drives, on average, 560 miles per day. If the standard deviation of the miles driven per day for the population of truckers is 40, find the 95% confidence interval of the mean number of miles driven per day by all truckers.
According to a news program, Americans take an average of 4.9 days off per year because of illness. The manager of a large chain of grocery stores wants to know if the employees at the grocery store, on average, take fewer days off than the national average. The manager selects a random sample of 80 employees in the company and found the sample mean number of days off for the 80 employees was 4.75 days with a standard deviation of 0.9 days. When the manager performed a significance test, the P-value was 0.07. What is the meaning of this P-value in context?
Many people consider their smart phone to be essential! Communication, news, Internet, entertainment, photos, and just keeping current are all conveniently possible with a smart phone. However, the battery better be charged or the phone is useless. Battery life of course depends on the frequency, duration, and type of use. One study involving heavy use of the phones showed the mean of the battery life to be 11.25 hours with a standard deviation of 3.3 hours. Then the battery needs to be recharged. Assume the battery life between charges is normally distributed. (a) Find the probability that with heavy use, the battery life exceeds 12 hours. (Round your answer to four decimal places.)(b) You are planning your recharging schedule so that the probability your phone will die is no more than 5%. After how many hours should you plan to recharge your phone? (Round your answer to the nearest tenth of an hour.) hours
Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of women
A college alumni Organization sent a survey to all recent graduates to ask their annual income. 20% of the alumni responded, and their mean annual income was $40,000 with a standard deviation of $10,000. Explain why these data should not be used to construct a confidence interval for the mean annual income of all recent graduates.
a group of 59 randomly selected students have a mean score of 29.5 with a standard deviation of 5.2 on a placement test. what is the 90% confidence interval for the mean score, u, of all students taking the test?
According to a recent study published by the American Statistics for Educators Journal, statistics students spend, on average, 80 minutes a week playing video games. A certain instructor of statistics at WCC believes that WCC students spend less than this amount of time playing video games per week. To test his belief, he randomly samples 31 students and finds the sample mean to be 72 minutes with a standard deviation of 35 minutes. At the 0.05 level of significance, is there evidence to suggest that WCC students spend less than 80 minutes a week, on average, playing video games? Use the p-value approach. Define the parameter we are testing and setup a hypothesis to test the see if the statistics instructor is correct: Calculate the test statistics for this hypothesis test. What is the p-value for this hypothesis test?
The Fair Isaac Cooperation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 330 to 850, with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is lower than the cutoff of 720. She finds that a random sample of 60 people had a mean FICO score of 685 with a standard deviation of 80. Can the economist conclude that the mean FICO score is less than 720? Use the a=0.10 level of significance and the P-value method
A data set includes 106 body temperatures of healthy adult humans having a mean of 98.7°F and a standard deviation of 0.66°F. Construct a 99% confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of 98.6°F as the mean body temperature?
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