Question 4a) A medical researcher wants to investigate the amount of time ittakes for patients' headache pain to be relieved after taking a newprescription painkiller. She wants to estimate the mean of thepopulation of relief times. She believes that the population isnormally distributed with a population standard deviation of 25minutes. How large a sample should she take to estimate themean time to within 5 minutes with 95% confidence?b) An epidemiologist is worried about the prevalence of the flu in EastVancouver and the potential shortage of vaccines for the area. Shewill need to provide a recommendation for how to allocate thevaccines appropriately across the city. She takes a simple randomsample of 320 people living in East Vancouver and finds that 40have recently had the flu.Suppose that the epidemiologist wants tore-estimate the population proportion and wishes for her 95%confidence interval to have a margin of error no larger than 0.05.How large a sample should she take to achieve this?

Given data: a). Population standard deviation = 25 Margin of error = 5 minutes Confidence level =…

Answered: Question 4 a) A medical researcher…

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 a test of a lifelong brand of tires , a survey revealed that the mean life was 35,000 mikes and the standard deviation was 7083 mikes. if the shape of the population distribution is known to be normal, approximately what percentage of the tires lasts less than 20834 miles ?
What is the normalized z-score for a data point that has a value of 50 if the mean (Mu) is 560 and sigma is 55? This data point is taken from a total of 800 data point values .
Is the difference between the mean annual salaries of statisticians in Region 1 and Region 2 more than $7000? To decide, you select a random sample of statisticians from each region. The results of each survey are shown to the right. At a = 0.10, what should you conclude? Region 1 X1 = $67,900 Region 2 X2 = $64,000 01 = $8950 02 = $9125 n, = 48 Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. n2 = 46 CHOOSE ue COTECI Tuil anu ailemaivE TiypouTESeS DEloW. A. Ho: H1 - H2 > 7000 Ha: H1 - H2 57000 B. Ho: H, - H2 # 7000 Ha: H1- H2 = 7000 O E. Ho: H1 - H2 Ha: H1 - H2 2 7000 C. Ho: H1 - H22 7000 Ha: H1- H2 7000 F. Ho:H1 - H2 S7000 Ha: H1 - H2 > 7000 Determine the critical value(s). Zo = (Round to two decimal places as needed. Use a comma to separate answers as needed.)
Chapter 5, Section 2, Exercise 043 Hearing Loss in TeenagersA recent study1 found that, of the 1771 participants aged 12 to 19 in the National Health and Nutrition Examination Survey, 19.5% had some hearing loss (defined as a loss of 15 decibels in at least one ear). This is a dramatic increase from a decade ago. The sample size is large enough to use the normal distribution, and a bootstrap distribution shows that the standard error for the proportion is SE=0.009.Find a 95% confidence interval for the proportion of teenagers with some hearing loss.Round your answers to two decimal places.The 95% confidence interval is to .
IQ scores are normally distributed with a mean of 100 and a variance of 225. What percentage of people score between 130 and 145?
Identify the formula for the margin of error for the estimate of a population mean when the population standard deviation is unknown.
According to Chebyshev's Teorem, at least what percentage of snake lengths are within K= 2.9 standard deviations of the mean?
Question 4
Use technology to solve the following problem: A recent study reported that diastolic blood pressures of adult women in the United States are approximately normally distributed with mean 80.8 and standard deviation 9.2. What proportion of women have blood pressure between 70.4 and 83.4?
Denny studied factors affecting cardiovascular reactivity to a postural change in a sample of healthy men and women. Change in systolic blood pressure (SBP) from supine to standing position was used as the measure of cardiac reactivity in a sample of 842 adults. Supine measurement of blood pressure was taken after participants had lain on an examination table for 15 minutes. Blood pressure was determined every 30 seconds using a Dinamap device for 2 minutes, and the measurements were averaged. Participants then stood up immediately, and additional measurements were made for another 2 minutes. Below is a table describing the characteristics of Denny’s sample: Which measures of dispersion, if any, are presented in this table (Ranges, SDs)? If age is normally distributed, approximately what percent of the sample would be younger than 50? If BMI is normally distributed, approximately what percent of the sample would have a BMI higher than 33.1?
Dr. Sylvester Stallone is a circadian rhythms researcher and believes sleep affects memory. Having collected data on a large number of subjects who are getting the recommended amount of sleep, he knows the mean digit span of this population is 5.6 digits. To test his hypothesis, he measures the digit span of 15 volunteers randomly selected from the population, after depriving them of one night’s sleep. The results show a mean (X bar) of 4.1 and a standard deviation of (s) 1.4. a. What does Dr. Stallone conclude, using and alpha of 0.05 (two tailed)? b. If appropriate, calculate the size of effect and provide an interpretation of the value?
Is the difference between the mean annual salaries of statisticians in Region 1 and Region 2 more than $4000? To decide, you select a random sample of statisticians from each region. The results of each survey are shown to the right. At a = 0.10, what should you conclude? Region 1 X1 = $67,700 01 = $8875 Region 2 X2 = $61,000 02 = $9250 n1 = 48 n2 = 44 Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Choose the correct answer below. O A. Reject Ho. At the 10% significance level, there is sufficient evidence to support the claim that the difference between the mean annual salaries is more than $4000. O B. Fail to reject Ho. At the 10% significance level, there is sufficient evidence to support the claim that the difference between the mean annual salaries is more than $4000. OC. Reject Ho. At the 10% significance level, there is insufficient evidence to support the claim that the difference between…

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