17. Muscle strength declines as we growold. Preliminary evidence suggests thatpart of this loss of muscle strength may bedue to a deficiency of chemical X.Investigators plan a randomized trial toadminister chemical X or identical placebofor 5 months to elderly subjects and thenmeasure muscle strength. Previousstudies report a mean grip strength inelderly persons of 20 kg with a SD of 5 kg.Assuming alpha (2-sided) = 0.05 and beta= 0.10. How many subjects would berequired to demonstrate a 10% or greaterdifference between strength in the treatedand placebo groups?What is the sample size?

The following information has been provided: The population mean is μ=20. The population standard…

Answered: 17. Muscle strength declines as we grow…

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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Q4
We consider the problem of improving lithium car batteries. A research group is makıng great advances using a new type anode and they claim that the mean life is greater than 1600 recharge cycles. To support this claim, they create 36 new batteries and subject them to recharge cycles until they fail. The claim will be established if the sample mean lifetime is greater than 1640 cycles. Otherwise, the claim will not be established and further improvements are needed. Assume that the population standard deviation o = 192 cycles is known. (a) Find the probability of a Type I error. (b) Find the probability of a Type II error when u = 1680 cycles.
Researchers were curious to see if stress affected beta-endorphins. They took beta-endorphin levels for 19 patients 12 hours before surgery (lower stress) and again 10 minutes before surgery (higher stress). Given: SDd-bar = 13.52, SDx1 = 4.40
In a certain jurisdiction, all students in Grade Three are required to take a standardized test to evaluate their math comprehension skills.The file contains these data resulting from a random sample of n=30 schools within this jurisdiction. From these data you wish to estimate the model Yi=β0+β1Xi+ei where Xi is the percentage of Grade Three students in School i who live below the poverty line and Yi is the average mathematics comprehension score for all Grade Three students in the same school, School i. The observed data for the X variable is labled perbelowpoverty and the observed data for the Y variable is labeled mathscore in the file.Import (either hand type or load the file) data into R Studio, then answer the following questions based on the data.(a) Create a scatterplot of the data. What can you say about the nature of the relationship between the percentage of Grade Three students living below the poverty line in a certain school and the school's average Grade Three…
Cardiovascular Disease Suppose the incidence rate of myocardial infarction (MI) was 5 per 1000 among 45- to 54-year-old men in 2000. To look at changes in incidence over time, 5000 men in this age group were followed for 1 year starting in 2010. Fifteen new cases of MI were found. 7.14 Of the 15 new MI cases in the preceding study, 5 died within 24 hours. Test whether the 24-hour case- fatality rate changed from 2000 to 2010.
A new screening test for Lyme disease is developed for use in the general population. The sensitivity and specificity of the new test are 60% and 70%, respectively. Five hundred people are screened at a clinic during the first year the new test is implemented. Assume the true prevalence of Lyme disease among clinic attendees is 10%. Calculate the predictive value of a positive test.
Suppose 1 in 100 workers die on the risky job each year, while no workers die on the safe job each year. Moreover, the average salary for the safe job is $50,000 and for the risky job is $60,000. a. What is the compensating wage differential of the risky job? b. What is the implied statistical value of a life of a worker on the risky job? Please help ?
Recently findings have been reported from a prospective cohort study that demonstrated a significant positive association between coffee consumption and increased risk of coronary heart disease. The authors reported a 21/2 fold increased risk among those drinking 5 or more cups of coffee daily, with a 95% CI from 1.08 to 5.77. Based on these data, PH office recommended people limit their coffee drinking to 2 cups or less per day. On what basis do you agree or disagree with this recommendation?
On March 2005, a poll surveyed 535 adults aged 18 years old or older and asked “ Do you think there is life on other planets or not?. Of the 535, 326 responded yes. same question was asked on September3,2000, 385 of the 535 individuals surveyed said yes. Can you conclude that the proportion has decreased at alpha = 0.05 level of significance.

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